63 citations · 64 across the 4 of their papers we have counts for
4 papers
Diffusion Coefficients Estimation for Elliptic Partial Differential Equations
Andrea Bonito, Albert Cohen, Ronald DeVore +2
This paper considers the Dirichlet problem for a Lipschitz domain $D\subset \m…
Adaptive Anisotropic Petrov-Galerkin Methods for First Order Transport Equations
W. Dahmen, G. Kutyniok, W. -Q Lim +2
This paper builds on recent developments of adaptive methods for linear transport equations based on certain stable variational formulations of Petrov-Galerkin type. The variationa…
Efficient Resolution of Anisotropic Structures
Wolfgang Dahmen, Chunyan Huang, Gitta Kutyniok +3
We highlight some recent new delevelopments concerning the sparse representation of possibly high-dimensional functions exhibiting strong anisotropic features and low regularity in…
Double Greedy Algorithms: Reduced Basis Methods for Transport Dominated Problems
Wolfgang Dahmen, Christian Plesken, Gerrit Welper
The central objective of this paper is to develop reduced basis methods for parameter dependent transport dominated problems that are rigorously proven to exhibit rate-optimal perf…