323 citations · 565 across the 31 of their papers we have counts for
4 papers · 1 filter
Legendre-Gauss-Lobatto grids and associated nested dyadic grids
Kolja Brix, Claudio Canuto, Wolfgang Dahmen
Legendre-Gauss-Lobatto (LGL) grids play a pivotal role in nodal spectral methods for the numerical solution of partial differential equations. They not only provide efficient high-…
Adaptive Near-Optimal Rank Tensor Approximation for High-Dimensional Operator Equations
Markus Bachmayr, Wolfgang Dahmen
We consider a framework for the construction of iterative schemes for operator equations that combine low-rank approximation in tensor formats and adaptive approximation in a basis…
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…
Multilevel Preconditioning of Discontinuous-Galerkin Spectral Element Methods, Part I: Geometrically Conforming Meshes
Kolja Brix, Martin Campos Pinto, Claudio Canuto +1
This paper is concerned with the design, analysis and implementation of preconditioning concepts for spectral Discontinuous Galerkin discretizations of elliptic boundary value prob…