323 citations · 565 across the 31 of their papers we have counts for
3 papers · 2 filters
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…
Tensor-Sparsity of Solutions to High-Dimensional Elliptic Partial Differential Equations
Wolfgang Dahmen, Ronald DeVore, Lars Grasedyck +1
A recurring theme in attempts to break the curse of dimensionality in the numerical approximations of solutions to high-dimensional partial differential equations (PDEs) is to empl…
Adaptive Low-Rank Methods: Problems on Sobolev Spaces
Markus Bachmayr, Wolfgang Dahmen
This paper is concerned with the development and analysis of an iterative solver for high-dimensional second-order elliptic problems based on subspace-based low-rank tensor formats…