Submitted journal articles:
1. M. Braack, A. Prohl,
Stable discretization of a diffuse interface model for liquid-vapor flows
with surface tension,
revised version submitted 2011 to M2AN.
2. M. Braack, P. B. Mucha, W. Zajaczkowski,
Natural outflow condition for the Navier-Stokes equations,
- submitted.
Journal articles:
3. M. Braack, N. Taschenberger,
Hierarchical a posteriori residual based error estimators for bilinear finite elements,
to appear 2012 in Int. J. Numer. Anal. Model.
4. M. Braack, G. Lube, L. Roehe,
Divergence preserving interpolation on anisotropic quadrilateral meshes,
Comput. Meth. Applied Math.,
12 (2), 123-138, 2012.
5. M. Kimmritz, M. Braack,
Equal-order finite elements for the hydrostatic Stokes problem,
Comput. Meth. Applied Math.
12 (3), 1-24, 2012.
6. M. Braack, B. Tews,
Linear-quadratic optimal control for the Oseen equations with stabilized finite elements,
accepted 2011 by
ESAIM: Control, Optimisation and Calculus of Variations. DOI: 10.1051/cocv/2011201
7. M. Braack, E. Burman, N. Taschenberger,
Duality based a posteriori error estimation for quasi periodic solutions using time averages,
SIAM J. Scientific Computing 33, 2199-2216, 2011.
online version
8. J. Carpio, M. Braack:
The effect of numerical methods on the dynamics of mid-ocean
ridge hydrothermal models, J. Theor. Comput. Fluid Dyn. 26(1), 225-243, 2012 (online 2011),
DOI: 10.1007/s00162-011-0232-z.
9. M. Braack, B. Tews,
Finite element discretizations of optimal control flow problems with boundary layers,
Lecture Notes in Computational Science and Engineering, 8, 47-55, 2011
10. M. Braack, F. Schieweck:
Equal-order finite elements with local projection stabilization
for the Darcy-Brinkman equations,
Comp. Meth. Appl. Mech. Eng., 200, 1126-1136, 2011,
(published online 2010). Preprint (pdf)
11. M. Braack:
Optimal control in fluid mechanics by finite elements with symmetric stabilization,
SIAM J. Control Optimization,
48 (2), 672-687 (2009).
12. M. Braack, G. Lube:
Finite elements with local projection stabilization for incompressible flow problems,
J. Comput. Math. 27, 116-147, 2009,
(pdf).
13. M. Braack: Optimal control in fluid mechanics by finite elements with
symmetric stabilization,
GAMM
Proc. 2008, PAMM vol. 8 (1), p 10945-10946, 2009.
14. M. Braack:
A stabilized finite element scheme for the Navier-Stokes equations on quadrilateral anisotropic meshes,
M2AN, 2008, 42, 903-924.
15. M. Braack, E. Burman, V. John, G. Lube:
Stabilized finite element methods for the generalized Oseen problem, Comput. Methods Appl. Mech. Engrg., 2007, 196, 853-866.
16. M. Braack, E. Burman:
Local projection stabilization for the Oseen problem and its interpretation as a
variational multiscale method,
SIAM J. Numer. Anal., 2006, 43 (6), 2544-2566.
17. M. Braack, T. Richter:
Stabilized finite elements for 3D reactive flows,
Int. J. Numer. Methods Fluids, 2006, 51 (9-10), 981-999.
18. M. Braack, T. Richter:
Solutions of 3D Navier-Stokes benchmark problems with adaptive finite elements,
Computers and Fluids, 2006, 35 (4), p. 372-392.
19. P. Le Quere, C. Weisman, H. Paillere, J. Vierendeels, E. Dick, R. Becker, M. Braack, J. Locke:
Modelling of natural convection flows: A benchmark problem for
low Mach number solvers. Part 1. Reference solutions,
M2AN 2005, Vol. 39, Nr. 3, p. 609-616.
20. H. Paillere, P. Le Quere, C. Weisman, J. Vierendeels, E. Dick, M. Braack, F. Dabbene,
A. Beccantini, E. Studer, T. Kloczko, C. Corre, V. Heuveline, M. Darbandi, S.F. Hosseinizadeh:
Modelling of natural convection flows with large temperaure
differences: A benchmark problem for low Mach number solvers. Part 2.
Contributions to the June 2004 conference,
M2AN, 2005, Vol. 39, Nr. 3, p. 616-621.
21. R. Becker, M. Braack, B. Vexler:
Parameter identification for chemical models in combustion problems,
Appl. Numer. Math., 2005, 54 (3-4), p. 519-536.
22. M. Braack, A. Ern:
Coupling multimodeling with local mesh refinement for the numerical computation of laminar flames,
Combustion Theory and Modelling, 2004, Vol. 8, Nr. 4, p. 771-788, Bristol.
23. R. Becker, M. Braack, B. Vexler:
Numerical parameter estimation for chemical models in multidimensional reactive flows,
Combustion Theory and Modelling, 2004, Vol. 8, Nr. 4, p. 661-682, Bristol.
24. M. Braack, A. Ern:
A posteriori control of modeling errors and discretization errors,
SIAM J. Multiscale Modeling and Simulation, 2003, 1(2), p. 221-238.
25. S. Parmentier, M. Braack, U. Riedel, J. Warnatz:
Modelling of combustion in a lamella burner,
Combustion Science and Technology, 175, no. 1, 185-206, 2003.
26. R. Becker, M. Braack:
Solution of a stationary benchmark problem for natural convection with high temperature difference,
Int. Journal of Thermal Sciences, 41 (5), 2002, p. 428-439
27. R. Becker, M. Braack:
A Finite Element Pressure Gradient Stabilization for the Stokes Equations Based on Local Projections,
Calcolo 38 (4), p. 173-199, 2001, Springer Berlin
28. R. Becker, M. Braack:
Multigrid techniques for finite elements on locally refined meshes,
Numerical Linear Algebra with Applications, 2000, Vol. 7, p. 363-379
29. R. Becker, M. Braack, R. Rannacher:
Numerical simulation of laminar flames at low Mach number with adaptive finite elements,
Combustion Theory and Modelling,
Bristol, 1999, Vol. 3, Nr. 3, p. 503-534.
30. R. Becker, M. Braack, R. Rannacher, C. Waguet:
Fast and reliable solutions of the Navier-Stokes equations including chemistry,
Computer and Visualization in Science, Nr. 2 and 3, 1999, Springer Berlin.
Peer-reviewed proceedings:
31. M. Braack, N. Taschenberger:
A posteriori error estimation by a Q_1/Q_2 hierarchical basis, Numerical Mathematics and Advanced
Applications, Enumath 2011,
Springer, to appear 2012.
32. M. Braack: Local projection stabilization for the Oseen system on
anisotropic Cartesian meshes, Numerical Mathematics and Advanced
Applications, Enumath 2007,
eds.: K. Kunisch, G. Of, O. Steinbach,
p. 441-448,
Springer 2008.
33. M. Braack:
Anisotropic H1-stable projections on quadrilateral meshes,
Enumath 2005 Proc.,
eds.: Bermudez de Castro et al., p. 495-503, Springer 2006.
34.
M. Braack, T. Richter: Stabilized adaptive finite elements for
laminar burner in 3-d, Eccomas CFD Proc. 2006,
Wesseling et. al. (eds.), 2006.
35. M. Braack, R. Richter:
Local projection stabilization for the Stokes system on anisotropic quadrilateral meshes,
Enumath Proc. 2005, eds.: Bermudez de Castro et al., p. 770-778., Springer 2006.
36. M. Braack, A. Ern:
Adaptive computation of reactive flows with local mesh refinement and model adaptation,
Numerical Mathematics and Advanced Applications,
Enumath 2003,
Prague, eds.: Feistauer et. al., Springer Verlag, 2004, p. 159-168.
37. R. Becker, M. Braack:
A two-level stabilization scheme for the Navier-Stokes equations,
Numerical Mathematics and Advanced Applications,
Enumath 2003,
Prague, eds.: Feistauer et. al., Springer Verlag, 2004, p. 123-130.
38. M. Braack:
Adaptive finite elements for stationary compressible flows at low Mach number,
8. Int. Conf. on Hyperbolic Problems:
theory, numerics, applications, ed.: Freistühler and Warnecke, ISNM vol. 140,
Birkhäuser, 2001, p. 169-178
39. R. Becker, M. Braack, R. Rannacher:
On Error Control for Reactive Flow Problems,
Scientific Computing in Chemical Engineering II,
Computational Fluid Dynamics, Reaction Engineering, and Molecular Properties, Vol. 1, 1999,
p. 320-327, Springer Berlin.
40. M. Braack, R. Becker, R. Rannacher:
Adaptive Finite Elements for Reactive Flows,
ENUMATH-97, Second European Conference on Numerical Mathematics and Advanced Applications,
1998, p. 206-213,
WorldScientific Publ.,
Singapore
Survey articles in Books:
41. M. Braack, R. Rannacher:
Adaptive Finite Element Methods for Low-Mach Number Flows with Chemical Reactions,
Lecture Series von Karman Institute,
30th Computational Fluid Dynamics, Vol. 3, 1999, p. 1-93
42. R. Becker, M. Braack, R. Rannacher, T. Richter: Mesh and
model adaptivity for flow problems, in: Reactive Flows, Diffusion and
Transport, W. Jäger et. al. (eds.), p. 47-75, Springer, Berlin, 2006.
43.
M. Braack, T. Richter: Solving multidimensional reactive flow problems
with adaptive finite elements, in:
Reactive Flows, Diffusion and Transport, W. Jäger et. al. (eds.),
p. 93-112, Springer, Berlin, 2006.
44.
R. Becker, M. Braack, D. Meidner, R. Rannacher, B. Vexler:
Adaptive finite element methods for PDE-constrained optimal
control problems, in:
Reactive Flows, Diffusion and Transport, W. Jäger et. al. (eds.),
177-205, Springer, Berlin, 2006.
45.
R. Becker, M. Braack, T. Richter: Parallel multigrid on locally refined
meshes, in:
Reactive Flows, Diffusion and Transport, W. Jäger. al. (eds.),
p. 77-92, Springer, Berlin, 2006.
Non-refereed Proceedings:
46. M. Kimmritz, M. Braack: Discretization of the hydrostatic Stokes system by
stabilized finite elements of equal order,
Proc. XXII Congreso de Ecuaciones Diferenciales y Aplicaciones, Palma de Mallorca, 2011,
(
pdf)
47. M. Braack, J. Carpio Huertas:
Simulacion numerica de fumarolas negras en el oceano,
Proc. XXI Congreso de Ecuaciones Diferenciales y Aplicaciones, Ciudad Real, 2009.
(
pdf)
48. R. Becker, M. Braack, V. Heuveline, R. Rannacher:
Efficient Numerical Methods for the Simulation of Flow Reactors,
Proc.
Int. Conf. on Modeling and Simulation of Microsystems, 2001.
49. S. Parmentier, M. Braack, U. Riedel, J. Warnatz:
Modeling of Combustion in a Lamella Burner,
Proc. Conf. Technologies and Combustion for a Clean Environment, July 9-12, 2001,
Oporto, Portugal
50. R. Becker, M. Braack, R. Rannacher:
Adaptive finite element methods for flow problems, Proc.
Foundations
of Computational Mathematics 99, (R. DeVore, A. Iserles & E. Suli, eds),
Cambridge University Press, Cambridge, 2001.
51. R. Becker, M. Braack, R. Rannacher:
Numerical simulation of chemical reacting flows,
Proc. 3. Workshop on Interdisciplinary Design and Simulation
Tools for Micro- and Biomedical Fludic Applications, IMM, Wendelsheim, 2000.
52. M. Braack, R. Becker, R. Rannacher:
An adaptive finite element method for combustion problems,
Third Summer Conference, Numerical Modelling in
Continuum Mechanics, Charles University, Prague, 1997, p. 91-100.
53. M. Braack, U. Feldmann, U. Wever:
About local iteration for calculating transistor characterisitics in
circuit simulation, Proc.
GME/ITG Diskussionssitzung ANALOG'94, 165-170,
Bremen, 1994.
Habilitation, Dissertation and Diploma:
54. M. Braack:
Solution of Complex Flow Problems: Mesh- and Model Adaptation with Stabilized Finite
Elements, Habilitation thesis, Heidelberg University 2005.
55. M. Braack:
An Adaptive Finite Element Method for Reactive Flow Problems,
Dissertation and SFB-Preprint 98-25,
Heidelberg University, 1998.
56. M. Braack:
Rationale Approximation absorbierender Randbedingungen,
Diploma thesis 1994, University of Hamburg.
Miscellaneous:
57. M. Braack: Mathematische Modellierungen des Ozeans,
Essay-Band Der Ozean der Zukunft, p. 54-57, ISBN 978-3-00-036812-7, 2011.
58. M. Braack, C. Eden:
Modelle und numerische Methoden in der Ozeansimulation,
Christiana Albertina 67, 26-35, 2008.
Lecture Notes (Skripte auf deutsch):
59. M. Braack, Mathematik für Informatiker I & II,
(pdf)
60. M. Braack, Angewandte Funktionalanalysis,
(pdf)
61. M. Braack, Finite Elemente I+II,
(pdf)
62. M. Braack, Numerik für Differentialgleichungen,
(pdf)
Preprints to download:
SFB
2004-44: R.
M. Braack, T. Richter: Solutions of 3D
Navier-Stokes benchmark problems with adaptive finite elements, Abstract
SFB
2004-45: R.
M. Braack, E. Burman: A multiscale method
towards turbulent flow based on local projection stabilization , Abstract
SFB
2004-20: R.
Becker, M. Braack, B. Vexler: Numerical parameter
estimation for chemical models in multidimensional reactive flows, Abstract
SFB
2004-18: M.
Braack, R. Rannacher, M. Schmich: A computational study of a
splitting scheme for weakly compressible stationary flow, Abstract
SFB
2004-5: R. Becker, M. Braack: A
two-level stabilization scheme for the Navier-Stokes equations, Abstract
SFB
2002-13:
M. Braack, A. Ern: A posteriori control of modeling errors and
discretization errors, Abstract
SFB
2001-32:
M. Braack:A finite element method for subsonic viscous flows: I.
The stationary case, Abstract
SFB
2001-19:
S. Parmentier, M. Braack, U. Riedel, J. Warnatz:
Modeling of
Combustion in a Lamella Burner, Abstract
SFB
2000-30:
R. Becker, M. Braack: Solution of a benchmark problem for natural
convection at low Mach number, Abstract
SFB
2000-20:
R.. Becker, M. Braack, R. Rannacher: Adaptive finite element methods
for
flow problems, Abstract
SFB
2000-04:
R.. Becker, M. Braack: A Finite Element Pressure Gradient
Stabilization for the Stokes Equations Based on Local Projections, Abstract
SFB
2000-03:
R.. Becker, M. Braack: Multigrid techniques for finite elements on
locally refined meshes, Abstract
SFB
1999-20:
M. Braack, R. Rannacher: Adaptive Finite Element Methods for
Low-Mach Number Flows with Chemical Reactions, Abstract
SFB
1999-14:
R. Becker, M. Braack, R. Rannacher: Numerical Simulation of
Laminar Flames at Low Mach Number with Adaptive Finite Elements, Abstract
SFB
1999-03:
R. Becker, M. Braack, R. Rannacher and C. Waguet: Fast and
Reliable Solutions of the Navier-Stokes Equations Including
Chemistry, Abstract
SFB
1998-25:
M. Braack: An Adaptive Finite Element Method for Reactive Flow
Problems
SFB
1998-10:
M. Braack, R. Becker, R. Rannacher, J. Warnatz: An Adaptive Finite
Element Method for Combustion Problems
