Radu Alexandru Todor:

A New Approach to Energy-Based Sparse FE Spaces

We show that the logarithmic factor in the standard error estimate for sparse FE spaces in arbitrary dimension d is removable in the energy (H¹) norm. Via a penalized sparse grid condition, we then propose and analyse a new version of the energy-based sparse FE spaces introduced first in [Bungartz, Griebel], and known to satisfy an optimal approximation property in the energy norm.

This report was written in January 2006 when the author visited the group of Prof. Dr. Reinhold Schneider, Scinetific Computing, University of Kiel. This work was supported in part by the IHP network Breaking Complexity of the EC (contract number HPRN-CT-2002-00286) with support by the Swiss Federal Office for Science and Education under grant No. BBW 02.0418.

Mail an Jens Burmeister

[Thu Feb 19 18:56:37 2009]

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