Embedding and a priori wavelet-adaptivity for Dirichlet problems
A domain embedding method for Dirichlet problems in arbitrary space dimension
The wavelet transform on Sobolev spaces and its approximation properties.
Embedding and wavelet-adaptivity for Dirichlet problems
The accuracy of the domain embedding method from [A. Rieder, (1998) 405-431] for the solution of Dirichlet problems suffers under a coarse boundary approximation. To overcome this drawback the method is furnished with an (static) strategy for an adaptive approximation space refinement near the boundary. This is done by selecting suitable wavelet subspaces. Error estimates and numerical experiments validate the proposed adaptive scheme. In contrast to similar, but rather theoretical,...
Incomplete Data problems in X-Ray Computerized Tomography. II. Truncated Projections and Region-of-Interest Tomography.
A wavelet multigrid preconditioner for Dirichlet boundary value problems in general domains
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