% BABUSKA @ARTICLE{BABUSKA:95A, author = {I. Babu{\v{s}}ka and {S.A.} Sauter}, title = {Is the pollution effect of the {FEM} avoidable for the {H}elmholtz equation considering high wave numbers.}, year = {1997}, journal = {SIAM, J. Numer. Anal.}, volume = {34}, OPTnumber = {6}, pages = {2392 -- 2423} } @ARTICLE{BABUSKA:95B, author = {Babu{\v{s}}ka, I. and F. Ihlenburg and {E.T.} Paik and {S.A.} Sauter}, title = {A generalized finite element method for solving the {H}elmholtz equation in two dimensions with minimal pollution}, year = 1995, journal = {Comp. Meth. Appl. Mech. Eng.}, volume = 128, pages = {325--359} } @Article{BABUSKA:95C, author = {Babu{\v{s}}ka, I. and F. Ihlenburg and {S.A.} Sauter}, title = {{R}eliability of finite element methods for the numerical computation of waves}, journal = {Advances in Engineering Software}, year = {1997}, OPTkey = {}, volume = {28}, OPTnumber = {}, OPTmonth = {}, pages = {417--424}, OPTnote = {}, OPTannote = {} } % BANK @InProceedings{BANK:96A, author = {Bank, R. and Gutsch, S.}, title = {Hierarchical basis for the convection-diffusion equation on unstructured {M}eshes}, booktitle = {Ninth International Symposium on Domain Decomposition Methods for Partial Differential Equations}, editor = {P.Bj{\o}rstadt, M.Espedal, D.Keyes}, publisher = {DDM.org}, OPTaddress = {}, OPTvolume = {}, OPTnumber = {}, OPTseries = {}, pages = {251-265}, year = {1998}, } @InProceedings{BANK:97A, author = {Bank, R. and Gutsch, S.}, title = {The generalized hierarchical basis two-level method for the convection-diffusion equation on a regular grid}, booktitle = {Multigrid Methods V}, OPTeditor = {W. Hackbusch and G. Wittum}, volume = {3}, OPTnumber = {}, series = {Lecture Notes in Computational Science and Engineering}, year = {1998}, OPTpublisher = {}, OPTaddress = {Stuttgart}, pages = {1-20}, OPTnote = {}, } @InProceedings{BANK:97B, author = {Bank, R. and Gutsch, S.}, title = {An algebraic approach to the HBMG method for unstructured grids}, booktitle = {ZAMM}, OPTeditor = {R. Mennicken and F. Pfeiffer}, volume = {78}, OPTnumber = {3}, OPTseries = {}, year = {1997}, OPTpublisher = {Wiley-VCH}, OPTaddress = {}, pages = {863-864}, OPTnote = {submitted}, } % BASTIAN @Article{BASTIAN:98A, author = {Bastian, P. and W. Hackbusch and G. Wittum}, title = {Additive and multiplicative multi-grid methods - a comparison}, journal = {Computing}, year = {1998}, OPTkey = {}, volume = {60}, OPTnumber = {4}, OPTmonth = {}, pages = {345-364}, OPTnote = {}, OPTannote = {} } % BRAESS @Article{BRAESS:83A, author = {D. Braess and W. Hackbusch}, title = {A new convergence proof for the multigrid method including the {V}-cycle}, journal = {SIAM J. Numer. Anal.}, year = {1983}, volume = {20}, pages = {967-975}, } % BURMEISTER @InProceedings{BURMEISTER:90A, author = {Bastian, P. and Burmeister, J. and Horton, G.}, title = {Implementation of a parallel multigrid method for parabolic partial differential equations}, booktitle = {Parallel algorithms for pdes, Proceedings of the 6th GAMM-Seminar Kiel}, editor = {Hackbusch, W.}, year = {1990}, publisher = {Vieweg}, } @InProceedings{BURMEISTER:91A, author = {Burmeister, J. and Horton, G.}, title = {Time-parallel multigrid solution of the {N}avier-{S}tokes equations }, booktitle = {Multigrid Methods III}, editor = {Hackbusch, W. and Trottenberg, U.}, volume = {98}, series = {International Series of Numerical Mathematics}, year = {1991}, publisher = {Birkh\"auser Verlag}, address = {Basel}, pages = {155-166}, note = {Proceedings of the 3rd European Conference on Multigrid Methods, Bo nn, October 1-4, 1990} } @TechReport{BURMEISTER:93A, author = "J. Burmeister and R. Paul", title = "Schrittweitensteuerung f{\"u}r ein zeitparalleles {M}ehrgitterverfahren", institution = "Institut f{\"u}r Informatik und Praktische Mathematik", year = "1993", type = "Bericht", number = "9314" } @InCollection{BURMEISTER:95A, author = "J. Burmeister and R. Paul", title = "Time-adaptive Solution of discrete parabolic problems with time-parallel multigrid methods", booktitle = "Computational Fluid Dynamics on Parallel Systems", publisher = "Vieweg", year = "1995", editor = "Siegfried Wagner", volume = "50", series = "NNFM", pages = "49--58" } @InProceedings{BURMEISTER:96A, author = {J. Burmeister and W. Hackbusch}, title = {On a time and space multi-grid method including remarks on filtering techniques}, booktitle = {Flow Simulation with High-Performance Computers}, editor = {E. Hirschel}, number = {52-2}, series = {NNFM}, year = {1996}, publisher = {Vieweg}, pages = {5-19}, } @Article{BURMEISTER:97A, author = {Lorenz, S. and Solterbeck, C. and Schattke, W. and Burmeister, J. and Hackbusch, W.}, title = {Electron scattering states at solid surfaces calculated with realistic potentials}, journal = {Phys. Rev. B}, volume = {55}, publisher = {American Physical Society}, pages = {R13432}, year = {1997} } % BUSCH @Article{BUSCH:75A, author = {W. Busch and R. Esser and W. Hackbusch}, title = {Extrapolation applied to the method of characteristics for a first order system of two partial differential equations}, journal = {Numer. Math.}, year = {1975}, volume = {24}, pages = {331-353}, } % DITTRICH @Article{DITTRICH:80A, author = {S. Dittrich and W. Hackbusch}, title = {A method of characteristics solving the initial-boundary value problem of a hyperbolic differential equation of second order}, journal = {Numer. Math.}, year = {1980}, volume = {34}, pages = {217-234}, } % DRYJA @Article{DRYJA:97A, author = {M. Dryja and W. Hackbusch}, title = {On the nonlinear domain decomposition method}, journal = {BIT}, year = {1997}, OPTkey = {}, volume = {37}, OPTnumber = {2}, OPTmonth = {}, pages = {296-311}, OPTnote = {}, OPTannote = {} } % ERICHSEN @Article{ERICHSEN:96A, author = {S. Erichsen and {S.A.} Sauter}, title = {Efficient automatic quadrature in 3-d {G}alerkin {BEM}}, journal = {Comp. Meth. Appl. Mech. Eng.}, year = {1998}, OPTkey = {}, volume = {157}, OPTnumber = {}, OPTmonth = {}, pages = {215-224}, OPTnote = {}, OPTannote = {} } % FAERMANN @PHDTHESIS{FAERMANN:93A, author = {B. Faermann}, title = {{L}okale a-posteriori {F}ehlersch{\"{a}}tzer bei der {D}iskretisierung von {R}andintegralgleichungen}, year = {1993}, school = {Universit{\"{a}}t Kiel} } @Article{FAERMANN:95A, author = {B. Faermann}, title = {Lokale a-posteriori-{F}ehlersch"atzer bei der {D}iskretisierung von {R}andintegralgleichungen}, journal = {ZAMM}, year = {1995}, volume = {75}, pages = {681-682} } @techreport{FAERMANN:96A, author = {B. Faermann}, title = {Local a-posteriori error indicators for the {G}alerkin discretization of boundary integral equations}, institution = {Universit\"at Kiel}, journal = {Numerische Mathematik}, year = {1998}, volume = {79}, pages = {43-76}, } @InProceedings{FAERMANN:96B, author = {B. Faermann}, title = {Local a-posteriori error estimators for the discretization of boundary integral equations}, booktitle = {Boundary Elements: Implementation and Analysis of Advanced Algorithms, Proceedings of the 12th Kieler GAMM-Seminar}, volume = {54}, series = {Notes on Numerical Fluid Mechanics}, year = {1996}, publisher = {Vieweg}, address = {Braunschweig}, pages = {68-81} } @InProceedings{FAERMANN:97A, author = {B. Faermann}, title = {Adaptive {G}alerkin boundary element methods}, booktitle = {ZAMM}, OPTeditor = {R. Mennicken and F. Pfeiffer}, volume = {78}, OPTnumber = {3}, OPTseries = {}, year = {1997}, OPTpublisher = {Wiley-VCH}, OPTaddress = {}, pages = {909-910}, OPTnote = {submitted}, } @InProceedings{FAERMANN:97B, author = {Faermann, B.}, title = {Efficient and reliable a-posteriori error estimates for boundary element methods}, booktitle = {Analysis, Numerics and Applications of Differential and Integral Equations}, editor = {C. Constanda and M. Bach and A.M. Saendig and P. Werner and G.C. Hsiao}, year = {1998}, publisher = {Addison Wesley Longman}, address = {London}, pages = {87-91}, } @Article{FAERMANN:97C, author = {Faermann, B.}, title = {{L}ocalization of the {A}ronszajn-{S}lobodeckij norm and application to adaptive boundary element methods. {P}art {I}. {T}he two-dimensional case}, journal = {IMA J. Numer. Anal.}, year = 2000, volume = 20, pages = {203-234}, } @InProceedings{FAERMANN:97D, author = {Faermann, B.}, title = {Efficient and reliable a-posteriori error estimates for boundary integral operators of positive and negative order}, booktitle = {Proceedings of ENUMATH97}, editor = {H.G. Bock and F. Brezzi and R. Glowinski and G. Kanschat and Y.A. Kuznetsov and J. P$\acute{e}$riaux and R. Rannacher}, year = {1998}, publisher = {World Scientific}, address = {Singapore}, pages = {303-310}, } @Article{FAERMANN:99A, author = {B. Faermann}, title = {Adaptive {G}alerkin boundary element methods (new results for the 3-dimensional case)}, journal = {ZAMM}, year = {1999}, OPTkey = {}, volume = {79}, OPTnumber = {}, OPTmonth = {}, pages = {893-894}, OPTnote = {submitted}, OPTannote = {} } @Misc{FAERMANN:00A, author = {Faermann, B.}, title = {\em {L}okalisierungstechniken f\"ur {S}obolev-{N}ormen und {A}nwendung auf adaptive {R}andelementmethoden}, year = 2000, note = {Habilitationsschrift, Universit\"at Kiel} } @Article{FAERMANN:00B, author = {Faermann, B.}, title = {{L}ocalization of the {A}ronszajn-{S}lobodeckij norm and application to adaptive boundary element methods. {P}art {II}. {T}he three-dimensional case}, journal = {Numer. Math.}, year = 2001, note = {Accepted} } @Article{CARSTENSEN:00A, author = {Carstensen, C. and Faermann, B.}, title = {Mathematical foundation of a posteriori error estimates and adaptive mesh-refining algorithms for boundary integral equations of the first kind}, journal = {Journal of Engineering Analysis with Boundary Elements}, year = 2001, note = {Accepted} } % GRAHAM @InProceedings{GRAHAM:97A, author = {I.G. Graham and W. Hackbusch and S. Sauter}, title = {The hybrid {G}alerkin boundary element method}, booktitle = {Proceedings of the First UK Conference on Boundary Integral Methods}, editor = {L. Elliot and D.B. Ingham and D. Lesnic}, OPTvolume = {}, OPTnumber = {}, OPTseries = {}, year = {1997}, OPTorganization = {}, publisher = {Leeds University Press}, OPTaddress = {}, OPTmonth = {}, pages = {98-107}, note = {submitted to Numer. Math.}, OPTannote = {} } @TechReport{GRAHAM:97B, author = {I.G. Graham and W. Hackbusch and S.A. Sauter}, title = {Discrete {B}oundary {E}lement {M}ethods on {G}eneral {M}eshes in 3{D}}, institution = {University of Bath}, year = {1997}, OPTkey = {}, OPTtype = {}, number = {97/19}, OPTaddress = {}, OPTmonth = {}, note = {submitted to Numer. Math.}, OPTannote = {} } @TechReport{GRAHAM:98A, author = {I.G. Graham and W. Hackbusch and S.A. Sauter}, title = {Hybrid {G}alerkin {B}oundary {E}lements: {T}heory and {I}mplementation}, institution = {University of Kiel}, year = {1998}, OPTkey = {}, OPTtype = {}, number = {98-6}, OPTaddress = {}, OPTmonth = {}, OPTnote = {}, OPTannote = {} } @TechReport{GRAHAM:98B, author = {I.G. Graham and W. Hackbusch and S.A. Sauter}, title = {Hybrid {G}alerkin {B}oundary {E}lements on {D}egenerate {M}eshes}, institution = {University of Bath}, year = {1998}, OPTkey = {}, OPTtype = {}, number = {98/22}, OPTaddress = {}, OPTmonth = {}, OPTnote = {}, OPTannote = {} } @TechReport{GRAHAM:98C, author = {I.G. Graham and W. Hackbusch and S.A. Sauter}, title = {Fast integration techniques in 3D boundary elements}, institution = {University of Bath}, year = {1998}, OPTkey = {}, OPTtype = {}, number = {98/29}, OPTaddress = {}, OPTmonth = {}, OPTnote = {}, OPTannote = {} } @TechReport{GUTSCH:97A, author = {S. Gutsch and T. Probst}, title = {Cyclic and feedback vertex set ordering for the 2D convection-diffusion equation}, institution = {University of Kiel}, year = {1997}, OPTkey = {}, OPTtype = {}, number = {97-22}, OPTaddress = {}, OPTmonth = {}, OPTnote = {}, OPTannote = {} } @InProceedings{GUTSCH:98A, author = {W. Hackbusch and S. Gutsch and J.-F. Maitre and F. Musy}, title = {The appropriate numbering for the multigrid solution of convection dominated problems}, booktitle = {Notes on Numerical Fluid Mechanics}, OPTcrossref = {}, OPTkey = {}, OPTeditor = {}, volume = {66}, OPTnumber = {}, OPTseries = {}, year = {1998}, OPTorganization = {}, publisher = {Vieweg}, OPTaddress = {}, OPTmonth = {}, pages = {75-88}, OPTnote = {to appear}, OPTannote = {} } @InProceedings{GUTSCH:98B, author = {Gutsch, S.}, title = {Cyclic and feedback vertex set ordering for convection-dominated problems.}, booktitle = {ZAMM}, OPTeditor = {}, volume = {79}, OPTnumber = {}, OPTseries = {ZAMM}, year = {1999}, OPTpublisher = {}, OPTaddress = {}, pages = {897-898}, OPTnote = {submitted}, } @InProceedings{LEBORNE:99A, author = {Le Borne, S.}, title = {Ordering techniques for convection-dominated problems on unstructured three-dimensional grids}, booktitle = {11th International Symposium on Domain Decomposition Methods for Partial Differential Equations}, editor = {C. Lai and P. Bj{\o}rstad and M. Cross and O. Widlund}, publisher = {DDM.org}, OPTaddress = {}, OPTvolume = {}, OPTnumber = {}, OPTseries = {}, OPTpages = {}, year = {1999}, note = {to appear}, } @Article{LEBORNE:99B, author = {Le Borne, S.}, title = {Ordering techniques for two- and three-dimensional convection-dominated elliptic boundary value problems}, journal = {Computing}, year = {1999}, OPTkey = {}, OPTvolume = {}, OPTnumber = {}, OPTmonth = {}, OPTpages = {}, note = {to appear}, OPTannote = {} } % HACKBUSCH @Article{HACKBUSCH:77A, author = {W. Hackbusch}, title = {Extrapolation applied to certain discretization methods solving the initial value problem for hyperbolic differential equations}, journal = {Numer. Math.}, year = {1977}, volume = {28}, pages = {121-142}, } @Article{HACKBUSCH:77B, author = {W. Hackbusch}, title = {Extrapolation to the limit for numerical solutions of hyperbolic differential equations}, journal = {Numer. Math}, year = {1977}, volume = {28}, pages = {455-474}, } @Article{HACKBUSCH:78A, author = {W. Hackbusch}, title = {On a method of characteristics for solving a hyperbolic equation of second order}, journal = {Computing}, year = {1978}, volume = {20}, pages = {47-60}, } @Article{HACKBUSCH:78B, author = {W. Hackbusch}, title = {A numerical method for solving parabolic equations with opposite orientations}, journal = {Computing}, year = {1978}, volume = {20}, pages = {229-240}, } @Article{HACKBUSCH:78C, author = {W. Hackbusch}, title = {On the multi-grid method applied to difference equations}, journal = {Computing}, year = {1978}, volume = {20}, pages = {291-306}, } @Article{HACKBUSCH:79A, author = {W. Hackbusch}, title = {On the fast solution of nonlinear elliptic equations}, journal = {Numer. Math}, year = {1979}, volume = {32}, pages = {83-95}, } @Article{HACKBUSCH:79B, author = {W. Hackbusch}, title = {On the computation of approximate eigenvalues and eigenfunctions of elliptic operators by means of a multi-grid method}, journal = {SIAM J. Numer. Anal.}, year = {1979}, volume = {16}, pages = {201-215}, } @Article{HACKBUSCH:79C, author = {W. Hackbusch}, title = {On the fast solving of parabolic boundary control problems}, journal = {SIAM J.Control. Optim.}, year = {1979}, volume = {17}, pages = {231-244}, } @Article{HACKBUSCH:80A, author = {W. Hackbusch}, title = {Convergence of multi-grid iterations applied to difference equations}, journal = {Math. Comp.}, year = {1980}, volume = {34}, pages = {425-440}, } @Article{HACKBUSCH:80B, author = {W. Hackbusch}, title = {The fast numerical solution of very large elliptic difference schemes}, journal = {J. Inst. Maths. Applics.}, year = {1980}, volume = {26}, pages = {119-132}, } @Article{HACKBUSCH:80C, author = {W. Hackbusch and G. Hofmann}, title = {Results of the eigenvalue problem for the plate equation}, journal = {Z. Angew. Math. Phys.}, year = {1980}, volume = {31}, pages = {730-739}, } @Article{HACKBUSCH:80D, author = {W. Hackbusch}, title = {Fast solution of elliptic control problems}, journal = {J. Optim. Theory Appl.}, year = {1980}, volume = {31}, pages = {565-581}, } @Article{HACKBUSCH:81A, author = {W. Hackbusch}, title = {Die schnelle {A}ufl\"ossung der {F}redholmschen {I}ntegralgleichung zweiter Art}, journal = {Beitr\"age Numer. Math.}, year = {1981}, volume = {9}, pages = {47-62}, } @Article{HACKBUSCH:81B, author = {W. Hackbusch}, title = {On the convergence of multi-grid iterations}, journal = {Beitr\"age Numer. Math.}, year = {1981}, volume = {9}, pages = {213-239}, } @Article{HACKBUSCH:81C, author = {W. Hackbusch}, title = {Error analysis of the nonlinear multi-grid method of the second kind}, journal = {Apl. Mat.}, year = {1981}, volume = {26}, pages = {18-29}, } @Article{HACKBUSCH:81D, author = {W. Hackbusch}, title = {On the regularity of difference schemes}, journal = {Ark. Mat.}, year = {1981}, volume = {19}, pages = {71-95}, } @Article{HACKBUSCH:81E, author = {W. Hackbusch}, title = {Optimal H\^\{p,p/2\} error estimates for a parabolic {G}alerkin method}, journal = {SIAM J. Numer. Anal.}, year = {1981}, volume = {18}, pages = {681-692}, } @Article{HACKBUSCH:81F, author = {W. Hackbusch}, title = {Fast numerical solution of time-periodic parabolic problems by a multi-grid method}, journal = {SIAM J. Sci. Statist. Comput.}, year = {1981}, volume = {2}, pages = {198-206}, } @Article{HACKBUSCH:81G, author = {W. Hackbusch}, title = {Bemerkungen zur iterativen {D}efektkorrektur und zu ihrer {K}ombination mit {M}ehrgitterverfahren}, journal = {Rev. Roumaine Math. Pures Appl.}, year = {1981}, volume = {26}, pages = {1319-1329}, } @Article{HACKBUSCH:82A, author = {W. Hackbusch}, title = {A note on the penalty correction method}, journal = {Zeitschrift f\"ur Analysis und ihre Anwendungen}, year = {1982}, volume = {2}, pages = {59-69}, } @Article{HACKBUSCH:83A, author = {W. Hackbusch}, title = {On the regularity of difference schemes - part {II}: regularity estimates for linear and nonlinear problems}, journal = {Ark. Mat.}, year = {1983}, volume = {21}, pages = {3-28}, } @Article{HACKBUSCH:83B, author = {W. Hackbusch and H. D. Mittelmann}, title = {On multi-grid methods for variational inequalities}, journal = {Numer. Math.}, year = {1983}, volume = {42}, pages = {65-76}, } @Article{HACKBUSCH:83C, author = {W. Hackbusch and T. Will}, title = {A numerical method for a parabolic bang-bang problem}, journal = {Control Cybernet.}, year = {1983}, volume = {12}, pages = {99-116}, } @Article{HACKBUSCH:84A, author = {W. Hackbusch}, title = {Multi-grid solutions to linear and nonlinear eigenvalue problems for integral and differential equations}, journal = {Rostock Math. Colloq.}, year = {1984}, volume = {25}, pages = {79-98}, } @Article{HACKBUSCH:84B, author = {W. Hackbusch}, title = {Local defect correction method and domain decomposition techniques}, journal = {Computing, Suppl.}, year = {1984}, volume = {5}, pages = {89-113}, } @Article{HACKBUSCH:84C, author = {W. Hackbusch}, title = {Multi-grid convergence for a singular perturbation problem}, journal = {Linear Algebra Appl.}, year = {1984}, volume = {58}, pages = {125-145}, } @Article{HACKBUSCH:85A, author = {W. Hackbusch}, title = {Schnelle {L}\"oser f\"ur partielle {D}ifferentialgleichungen}, journal = {PM Mathematik}, year = {1985}, volume = {27}, pages = {478-501}, } @Book{HACKBUSCH:85B, author = {W. Hackbusch}, title = {Multi-grid methods and applications}, publisher = {Springer}, year = {1985}, } @Book{HACKBUSCH:86A, author = {W. Hackbusch}, title = {Theorie und Numerik elliptischer Differentialgleichungen}, publisher = {Teubner}, year = {1986}, OPTannote = {} } @Book{HACKBUSCH:88A, author = {W. Hackbusch}, title = {Multi-grid methods and applications}, publisher = {Springer}, year = {1988}, note = {Chinese translation}, } @Article{HACKBUSCH:89A, author = {W. Hackbusch and Z. P. Nowak}, title = {On the fast matrix multiplication in the boundary element method by panel clustering}, journal = {Numer. Math.}, year = {1989}, volume = {54}, pages = {463-491}, } @Article{HACKBUSCH:89B, author = {W. Hackbusch}, title = {On first and second order box schemes}, journal = {Computing}, year = {1989}, volume = {41}, pages = {277-296}, } @Article{HACKBUSCH:89C, author = {W. Hackbusch and A. Reusken}, title = {Analysis of a damped nonlinear multilevel method}, journal = {Numer. Math.}, year = {1989}, volume = {55}, pages = {225-246}, } @Article{HACKBUSCH:89D, author = {W. Hackbusch}, title = {The frequency decomposition multi-grid method. Part {I}: Application to anisotropic equations}, journal = {Numer. Math.}, year = {1989}, volume = {56}, pages = {229-245}, } @Book{HACKBUSCH:89E, author = {W. Hackbusch}, title = {Integralgleichungen. Theorie und Numerik}, publisher = {Teubner}, year = {1989}, } @Book{HACKBUSCH:91A, author = {W. Hackbusch}, title = {Iterative L\"osung gro\ss er schwachbesetzter Gleichungssysteme}, publisher = {Teubner}, year = {1991}, } @Article{HACKBUSCH:92A, author = {W. Hackbusch}, title = {Comparison of different multi-grid variants for nonlinear equations}, journal = {ZAMM}, year = {1992}, volume = {72}, pages = {148-151}, } @Article{HACKBUSCH:92B, author = {W. Hackbusch}, title = {The frequency decomposition multi-grid method. Part {II}: Convergence analysis based on the additive {S}chwarz method}, journal = {Numer. Math.}, year = {1992}, volume = {63}, pages = {433-453}, } @Article{HACKBUSCH:92C, author = {W. Hackbusch}, title = {A parallel conjugate gradient method}, journal = {J. of Numerical Linear Algebra with Applications}, year = {1992}, volume = {1}, pages = {133-147}, } @Book{HACKBUSCH:92D, author = {W. Hackbusch}, title = {Elliptic Differential Equations}, publisher = {Springer}, year = {1992}, note = {English translation}, } @ARTICLE{HACKBUSCH:93A, author = {W. Hackbusch and {S.A.} Sauter}, title = {On the efficient use of the {G}alerkin method to solve {F}redholm integral equations}, year = 1993, journal = {Applications of Mathematics}, volume = 38, pages = {301-322}, number = {4-5} } @Book{HACKBUSCH:93B, author = {W. Hackbusch}, title = {Iterative L\"osung gro\ss er schwachbesetzter Gleichungssysteme}, publisher = {Teubner}, year = {1993}, edition = {2.}, } @ARTICLE{HACKBUSCH:94A, author = {W. Hackbusch and {S.A.} Sauter}, title = {On numerical cubatures of nearly singular surface integrals arising in {BEM} {C}ollocation}, year = 1994, journal = {Computing}, volume = 52, pages = {139--159} } @Book{HACKBUSCH:94B, author = {W. Hackbusch}, title = {Iterative solution of large sparse systems}, publisher = {Springer}, year = {1994}, note = {English translation}, } @Article{HACKBUSCH:95A, author = {W. Hackbusch}, title = {A note on {R}eusken's lemma}, journal = {Computing}, year = {1995}, volume = {55}, pages = {181-189}, } @Book{HACKBUSCH:95B, author = {W. Hackbusch}, title = {Integral Equations. Theory and Aplication}, publisher = {Birkh\"auser}, year = {1995}, volume = {120}, series = {ISNM}, note = {English translation}, } @ARTICLE{HACKBUSCH:96B, author = {W. Hackbusch and {S.A.} Sauter}, title = {Adaptive {C}omposite {F}inite {E}lements for the solution of {PDE}s containing non-uniformly distributed micro-scales}, year = {1996}, journal = {Matematicheskoe modelirovanie}, volume = {8}, number = {9}, pages = {31--43}, } @InProceedings{HACKBUSCH:96C, author = {W. Hackbusch and {S.A.} Sauter}, title = {A new finite element approach for problems containing small geometric details}, booktitle = {Proceedings of the ENUMATH '95-Konferenz}, OPTcrossref = {}, OPTkey = {}, OPTeditor = {}, OPTvolume = {}, OPTnumber = {}, OPTseries = {}, year = {1995}, OPTorganization = {}, OPTpublisher = {}, address = {Paris}, OPTmonth = {}, OPTpages = {}, OPTnote = {}, OPTannote = {} } @INPROCEEDINGS{HACKBUSCH:96D, author = {W. Hackbusch and C. Lage and {S.A.} Sauter}, editor = {{W.L.} Wendland}, title = {On the efficient realization of sparse matrix techniques for integral equations with focus on panel clustering, cubature and software design aspects}, year = {1997}, booktitle = {Boundary Element Topics}, publisher = {Springer}, pages = {51-76} } @Article{HACKBUSCH:96E, author = {Hackbusch, W. and Wappler, J. U.}, title = {Remarks on a posteriori error estimation for inaccurate finite element solutions}, journal = {Computing}, year = {1998}, volume = {60}, OPTnumber = {2}, pages = {175-191} } @ARTICLE{HACKBUSCH:97B, author = {W. Hackbusch and {S.A.} Sauter}, title = {Composite {F}inite {E}lements for the approximation of {PDE}s on Domains with complicated micro-structures}, journal = {Numer. Math.}, year = {1997}, volume = {75}, pages = {447-472}, } @InProceedings{HACKBUSCH:97C, author = {W. Hackbusch and R. Paul}, title = {Kopplung von {F}inite--{E}lement-- und {R}andelementmethoden f"ur die numerische {S}imulation von piezokeramischen {S}trukturen}, booktitle = {Mathematik: {S}chl{\"u}sseltechnologie f{\"u}r die {Z}ukunft; {V}erbundprojekte zwischen {U}niversit{\"a}t und {I}ndustrie}, editor = {Karl-Heinz Hoffmann and Willi J{\"a}ger and Thomas Lohmann and Hermann Schunk}, year = 1997, publisher = {Springer-{V}erlag}, address = {Berlin {H}eidelberg {N}ew {Y}ork}, pages = {151--160}, annote = {ISBN 3-540-61677-2} } @Article{HACKBUSCH:97D, author = {W. Hackbusch}, title = {On the Feedback Vertex Set Problem for a Planar Graph}, journal = {Computing}, year = {1997}, volume = {58}, OPTnumber = {2}, pages = {129--155}, } @Article{HACKBUSCH:97E, author = {W. Hackbusch and T. Probst}, title = {Downwind {G}auss-{S}eidel smoothing for convection dominated problems}, journal = {Numerical Linear Algebra with Applications}, year = {1997}, volume = {4}, OPTnumber = {2}, pages = {85-102}, } @ARTICLE{Hackbusch:97F, author = {W. Hackbusch and {S.A.} Sauter}, title = {Composite {F}inite {E}lements for problems containing small geometric details. {P}art {II}: {I}mplementation and numerical results}, year = {1997}, pages = {15-25}, volume = {1}, journal = {Computing and Visualization in Science} } @InProceedings{Hackbusch:97G, author = {W. Hackbusch}, title = {{N}umerische {M}athematik und ihre {W}echselwirkung mit der gegenw\"artigen {R}echnerentwicklung}, booktitle = {Berlin-Brandenburgische Akademie der Wissenschaften, Bericht und Abhandlungen}, OPTcrossref = {}, OPTkey = {}, OPTeditor = {}, volume = {4}, OPTnumber = {4}, OPTseries = {}, year = {1997}, OPTorganization = {}, publisher = {Akademie-Verlag}, address = {Berlin}, OPTmonth = {}, pages = {55-67}, OPTnote = {}, OPTannote = {} } @Article{Hackbusch:98A, author = {W. Hackbusch}, title = {From {C}lassical {N}umerical {M}athematics to {S}cientific {C}omputing}, journal = {Doc. Math. J. DMV}, year = {1998}, OPTkey = {}, OPTvolume = {}, OPTnumber = {}, OPTmonth = {}, pages = {95-114}, note = {Extra Volume ICM I}, annote = {http://www.math.uiuc.edu/documenta/xvol-icm/00/00.html} } @Article{Hackbusch:99A, author = {W. Hackbusch}, title = {A Sparse Matrix Arithmetic Based on {\cal H}-Matrices. Part I: Introduction to {\cal H}-Matrices}, journal = {Computing}, year = {1999}, OPTkey = {}, volume = {62}, OPTnumber = {}, OPTmonth = {}, pages = {89-108}, OPTnote = {}, OPTannote = {} } % HAYAMI @INPROCEEDINGS{Hayami:96A, author = {K. Hayami and {S.A.} Sauter}, title = {A formulation of the {P}anel-{C}lustering {M}ethod for three-dimensional elastostatics}, year = 1996, pages = {218--219}, booktitle = {Proceedings of the Annual Meeting of the Japanese Society for Industrial and Applied Mathematics (JSIAM)}, publisher = {Tokyo} } @INPROCEEDINGS{Hayami:96B, author = {K. Hayami and {S.A.} Sauter}, title = {A formulation of the panel clustering method for the three-dimensional elastostatic problem}, year = 1996, pages = {125--130}, booktitle = {Proceedings of the JASCOME 13th symposium on BEM}, publisher = {Tokyo} } @INPROCEEDINGS{Hayami:97A, author = {K. Hayami and {S.A.} Sauter}, title = {Application of the panel clustering method for the three-dimensional elastostatic problem}, year = 1997, booktitle = {Boundary Elements XIX, Proceedings of the 19th International Conference on the Boundary Element Method}, editor = {M. Marchetti, C.A. Brebbia and M.H.Aliabadi}, publisher = {Computational Mechanics Publications}, address = {Rome}, pages = {625--634} } @InProceedings{Hayami:98A, author = {K. Hayami and {S.A.} Sauter}, title = {Cost estimation of the panel clustering method applied to 3-D elastostatcs}, booktitle = {Proceedings of the EUROBEM `98 conference}, OPTcrossref = {}, OPTkey = {}, OPTeditor = {}, OPTvolume = {}, OPTnumber = {}, OPTseries = {}, year = {1998}, OPTorganization = {}, OPTpublisher = {}, address = {Paris}, OPTmonth = {}, OPTpages = {}, OPTnote = {}, OPTannote = {} } % KOSMOL @Article{KOSMOL:93A, author = {P. Kosmol and I. Nissen}, title = {A Minimal Residual Class of Algorithms for Linear Systems}, journal = {Computing}, year = {1993}, OPTkey = {}, volume = {51}, OPTnumber = {3-4}, OPTmonth = {}, pages = {335-343}, OPTnote = {}, OPTannote = {} } @TechReport{KOSMOL:94A, author = {P. Kosmol and I. Nissen}, title = {Eine matrixfreie {L}\"oserklasse f\"ur nichtlineare {G}leichungssysteme}, institution = {Institut f\"ur Informatik und Praktische Mathematik}, year = {1994}, OPTkey = {}, OPTtype = {}, number = {9404}, OPTaddress = {}, OPTmonth = {}, note = {Pages 16}, OPTannote = {} } % KRAPP @ARTICLE{KRAPP:96A, author = {{S.A.} Sauter and A. Krapp}, title = {On the effect of numerical integration in the {G}alerkin boundary element method}, year = 1996, journal = {Numer. Math.}, volume = 74, pages = {337--360}, OPTnumber = 3 } % LAGE @ARTICLE{LAGE:96A, author = {{S.A.} Sauter and C. Lage}, title = {On the efficient computation of singular and nearly singular surface integrals arising in 3{D}-{G}alerkin {BEM}}, year = 1996, journal = {ZAMM}, volume = 76, pages = {273-275}, OPTnumber = 2 } @Article{LAGE:97A, author = {{S.A.} Sauter and C. Lage}, title = {Transformation of hypersingular integrals and black-box cubature}, journal = {Math. Comp}, year = {1997}, OPTkey = {}, OPTvolume = {}, OPTnumber = {}, OPTmonth = {}, OPTpages = {}, note = {submitted}, annote = {Technical report 97-17,Universit{\"{a}}t Kiel} } % MAYER @PhdThesis{MAYER:97A, author = {J.-P. Mayer}, title = {Zur {L}"osung von geod"atischen {R}andwertproblemen durch einen hypersingul"aren {P}otential-Ansatz}, school = {Universit{\"{a}}t Kiel}, year = {1997}, } % NISSEN @PhdThesis{NISSEN:97A, author = {I. Nissen}, title = {Multiparametrische {G}radientenverfahren - {E}in {B}eitrag zur {L}\"osung gro{\ss}er {G}leichungssysteme unter dem {A}spekt von {R}obustheit und {P}arallelit\"at}, school = {Universit{\"{a}}t Kiel}, year = {1997}, OPTkey = {}, OPTaddress = {}, OPTtype = {}, OPTmonth = {}, note = {Logos-Verlag. Berlin. ISBN 3-89722-029-6}, OPTannote = {} } % PAUL @PhdThesis{PAUL:97A, author = {R. Paul}, title = {Eigenwertprobleme bei der Simulation piezokeramischer Strukturen}, school = {Universit{\"{a}}t Kiel}, year = {1997}, } %PROESSDORF @Article{PROESSDORF:98A, author = {Pr\"o{\ss}dorf, S. and Schult, J.}, title = {Multiwavelet approximation methods for pseudo-differential equations on curves. Stability and convergence analysis.}, journal = {The Numerical Treatment of Boundary Integral Equations}, year = {1998}, OPTkey = {}, volume = {9}, OPTnumber = {}, OPTmonth = {}, pages = {145-171}, OPTnote = {}, OPTannote = {} } @Article{PROESSDORF:98B, author = {Pr\"o{\ss}dorf, S. and Schult, J.}, title = {Approximation and commutator properties of projections onto shift-invariant subspaces and applications to boundary integral equations.}, journal = {J. Integral Equations and Applications}, year = {1998}, OPTkey = {}, OPTvolume = {}, OPTnumber = {}, OPTmonth = {}, OPTpages = {}, note = {to appear}, OPTannote = {} } % PROBST @InProceedings{PROBST:97A, author = {Hackbusch, W. and Probst, T.}, title = {Downwind Gau\ss -Seidel Smoothing for Convection Dominated Problems}, booktitle = {ZAMM}, editor = {R. Mennicken and F. Pfeiffer}, volume = {78 (3)}, OPTnumber = {3}, OPTseries = {}, year = {1997}, publisher = {Wiley-VCH}, OPTaddress = {}, pages = {933-934}, OPTnote = {submitted}, } % SAUTER @MASTERSTHESIS{SAUTER:89A, author = {{S.A.} Sauter}, title = {Ein {M}ehrgitterverfahren zur {B}erechnung der {E}igenschwingungen von abgeschlossenen {W}asserbecken}, year = 1989, school = {Universit{\"{a}}t Heidelberg} } @ARTICLE{SAUTER:91A, author = {{S.A.} Sauter}, title = {The {ILU} method for finite element discretizations}, year = 1991, journal = {J. Comp. Appl. Math.}, volume = 36, pages = {91--106} } @INPROCEEDINGS{SAUTER:91B, author = {{S.A.} Sauter and G. Wittum}, editor = {W. Hackbusch and U. Trottenberg}, title = {On the computation of the eigenmodes of {L}ake {C}onstance by means of a multi-grid method}, year = 1991, booktitle = {GMD-Studien of the 3rd {E}uropean {C}onference of {M}ultigrid {M}ethods}, address = {Bonn} } @TECHREPORT{SAUTER:91C, author = {{S.A.} Sauter}, title = {On the stability of the {ILU} method for a degenerate grid}, year = 1991, number = 9113, institution = {Universit{\"{a}}t Kiel} } @TECHREPORT{SAUTER:91D, author = {{S.A.} Sauter}, title = {Der {A}ufwand der {P}anel-{C}lustering-{M}ethode f{\"{u}}r {I}ntegralgleichungen}, year = 1991, number = 9115, institution = {Universit{\"{a}}t Kiel} } @ARTICLE{SAUTER:92A, author = {{S.A.} Sauter and G. Wittum}, title = {A multigrid method for the computation of eigenmodes of closed water basins}, year = 1992, journal = {Impact of Computing in Science and Engineering}, volume = 4, pages = {124--152} } @PHDTHESIS{SAUTER:92B, author = {{S.A.} Sauter}, title = {{\"{U}}ber die effiziente Verwendung des Galerkinverfahrens zur {L}{\"{o}}sung Fredholmscher Integralgleichungen}, year = 1992, school = {Universit{\"{a}}t Kiel} } @INPROCEEDINGS{SAUTER:93A, author = {{S.A.} Sauter}, editor = {W. Hackbusch and G. Wittum}, title = {On the stability of the {ILU} method for singular perturbed Finite Element Problems}, year = 1993, pages = {139--149}, booktitle = {Incomplete Decompositions (ILU), Theory, Technique and Applications, Proceedings of the 8th Kieler GAMM-Seminar}, publisher = {Vieweg, Notes on Numerical Fluid Mechanics} } @ARTICLE{SAUTER:94A, author = {{S.A.} Sauter}, title = {On the efficient implementation of {G}alerkin-{BEM}}, year = 1994, journal = {ZAMM}, volume = 74, pages = {T 516--518}, OPTnumber = 6 } @ARTICLE{SAUTER:95A, author = {{S.A.} Sauter}, title = {On the stability of the incomplete {C}holesky decomposition for a singular perturbed problem, where the coefficient matrix is not an {M}-matrix}, year = 1995, journal = {J. Numer. Lin. Alg. Appl.}, volume = 2, pages = {17--28}, number = 1 } @INPROCEEDINGS{SAUTER:95B, author = {{S.A.} Sauter}, editor = {G. Papanicolau}, title = {The {P}anel {C}lustering {M}ethod in 3-d {BEM}}, number = {96}, year = {1998}, booktitle = {Wave Propagation in Complex Media}, series = {IMA-Volumes in Mathematics and Applications}, publisher = {Springer}, pages = {199-224} } @TECHREPORT{SAUTER:96A, author = {{S.A.} Sauter}, title = {A remark on extension theorems for domains having small geometric details}, year = 1996, number = {96-03}, institution = {Universit{\"{a}}t Kiel} } @INPROCEEDINGS{SAUTER:96B, author = {{S.A.} Sauter}, editor = {W. Hackbusch and G. Wittum}, title = {Cubature techniques for 3-d {G}alerkin {BEM}}, year = 1996, pages = {29--44}, booktitle = {Boundary Elements: Implementation and Analysis of Advanced Algorithms}, publisher = {Vieweg, Notes on Numerical Fluid Mechanics} } @ARTICLE{SAUTER:96C, author = {{S.A.} Sauter and C. Schwab}, title = {Quadrature for hp-{G}alerkin {BEM} in 3-d}, year = {1997}, journal = {Numer. Math.}, volume = 78, pages = {211-258}, } @INPROCEEDINGS{SAUTER:96D, author = {{S.A.} Sauter and C. Schwab}, editor = {W. Hackbusch and G. Wittum}, title = {Realization of hp-{G}alerkin {BEM} in 3-d}, year = 1996, pages = {194--206}, booktitle = {Boundary Elements: Implementation and Analysis of Advanced Algorithms}, publisher = {Vieweg, Notes on Numerical Fluid Mechanics} } @Article{SAUTER:97A, author = {{S.A.} Sauter}, title = {Composite Finite Elements for problems with complicated boundary. Part III: Essential Boundary Conditions}, journal = {submitted to: Computing and Visualization in Sciences}, year = {1997}, OPTkey = {}, OPTvolume = {}, OPTnumber = {}, OPTmonth = {}, OPTpages = {}, note = {Institutsbericht, Nr. 97-16}, OPTannote = {} } @Book{SAUTER:97B, author = {{S.A.} Sauter}, title = {Vergr\"oberung von {F}inite-{E}lemente-{R}\"aumen}, publisher = {Habilitationsschrift}, year = {1997}, OPTkey = {}, OPTeditor = {}, OPTvolume = {}, OPTnumber = {}, OPTseries = {}, address = {Universit\"at Kiel}, OPTedition = {}, OPTmonth = {}, OPTnote = {}, OPTannote = {} } @Article{SAUTER:99A, author = {{S.A.} Sauter and R. Warnke}, title = {Extension operators and approximation on domains containing small geometric details}, journal = {East-West Journal of NUMERICAL MATHEMATICS}, year = {1999}, OPTkey = {}, volume = {7}, number = {1}, OPTmonth = {}, pages = {61-77}, OPTnote = {}, OPTannote = {} }