179 citations · 613 across the 39 of their papers we have counts for
8 papers · 2 filters
An analysis of a class of variational multiscale methods based on subspace decomposition
Ralf Kornhuber, Daniel Peterseim, Harry Yserentant
Numerical homogenization tries to approximate the solutions of elliptic partial differential equations with strongly oscillating coefficients by functions from modified finite elem…
Crank-Nicolson Galerkin approximations to nonlinear Schrödinger equations with rough potentials
Patrick Henning, Daniel Peterseim
This paper analyses the numerical solution of a class of non-linear Schrödinger equations by Galerkin finite elements in space and a mass- and energy conserving variant of the Cran…
Computation of quasilocal effective diffusion tensors and connections to the mathematical theory of homogenization
Dietmar Gallistl, Daniel Peterseim
This paper aims at bridging existing theories in numerical and analytical homogenization. For this purpose the multiscale method of Målqvist and Peterseim [Math. Comp. 2014], which…
Error analysis of a variational multiscale stabilization for convection-dominated diffusion equations in 2d
Guanglian Li, Daniel Peterseim, Mira Schedensack
We formulate a stabilized quasi-optimal Petrov-Galerkin method for singularly perturbed convection-diffusion problems based on the variational multiscale method. The stabilization…
Adaptive Mesh Refinement Strategies in Isogeometric Analysis - A Computational Comparison
Paul Hennig, Markus Kästner, Philipp Morgenstern +1
We explain four variants of an adaptive finite element method with cubic splines and compare their performance in simple elliptic model problems. The methods in comparison are Trun…
Efficient implementation of the Localized Orthogonal Decomposition method
Christian Engwer, Patrick Henning, Axel Målqvist +1
In this paper we present algorithms for an efficient implementation of the Localized Orthogonal Decomposition method (LOD). The LOD is a multiscale method for the numerical simulat…