Search

Your search keyword '"Chegini, N.G."' showing total 6 results
Start Over Author "Chegini, N.G."
6 results on '"Chegini, N.G."'

4. Piecewise Tensor Product Wavelet Bases by Extensions and Approximation Rates

Author

Chegini, N.G., Dahlke, S., Friedrich, U., Stevenson, R., Dahmen, W., Griebel, M., Hackbusch, W., Ritter, K., Schneider, R., Schwab, C., Yserentant, H., and Analysis (KDV, FNWI)

Subjects
Algebra, Nonlinear system, Operator (computer programming), Tensor product, Wavelet, Tensor product of Hilbert spaces, Sparse grid, Piecewise, MathematicsofComputing_NUMERICALANALYSIS, Tensor, Mathematics
Abstract

DIn this chapter, we present some of the major results that have been achieved in the context of the DFG-SPP project "Adaptive Wavelet Frame Methods for Operator Equations: Sparse Grids, Vector-Valued Spaces and Applications to Nonlinear Inverse Problems". This project has been concerned with (nonlinear) elliptic and parabolic operator equations on nontrivial domains as well as with related inverse parameter identification problems. One crucial step has been the design of an efficient forward solver. We employed a spatially adaptive wavelet Rothe scheme. The resulting elliptic subproblems have been solved by adaptive wavelet Galerkin schemes based on generalized tensor wavelets that realize dimension-independent approximation rates. In this chapter, we present the construction of these new tensor bases and discuss some numerical experiments.

Published
2014

Catalog

Books, media, physical & digital resources
See catalog results