179 citations · 613 across the 39 of their papers we have counts for
4 papers · 1 filter
A Multiscale Method for Porous Microstructures
Donald L. Brown, Daniel Peterseim
In this paper we develop a multiscale method to solve problems in complicated porous microstructures with Neumann boundary conditions. By using a coarse-grid quasi-interpolation op…
Eliminating the pollution effect in Helmholtz problems by local subscale correction
Daniel Peterseim
We introduce a new Petrov-Galerkin multiscale method for the numerical approximation of the Helmholtz equation with large wave number in bounded domains in . The…
Analysis-suitable adaptive T-mesh refinement with linear complexity
Philipp Morgenstern, Daniel Peterseim
We present an efficient adaptive refinement procedure that preserves analysis-suitability of the T-mesh, this is, the linear independence of the T-spline blending functions. We pro…
Comparison results for the Stokes equations
Carsten Carstensen, Karonline Köhler, Daniel Peterseim +1
This paper enfolds a medius analysis for the Stokes equations and compares different finite element methods (FEMs). A first result is a best approximation result for a P1 non-confo…