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Publications Influence

Localized Orthogonal Decomposition Techniques for Boundary Value Problems

- P. Henning, A. Målqvist
- Mathematics, Computer Science
- SIAM J. Sci. Comput.
- 15 August 2013

TLDR

51 6- PDF

Oversampling for the Multiscale Finite Element Method

- P. Henning, D. Peterseim
- Computer Science, Mathematics
- Multiscale Model. Simul.
- 26 November 2012

TLDR

103 4- PDF

Sobolev Gradient Flow for the Gross-Pitaevskii Eigenvalue Problem: Global Convergence and Computational Efficiency

- P. Henning, D. Peterseim
- Mathematics, Computer Science
- SIAM J. Numer. Anal.
- 3 December 2018

TLDR

11 3- PDF

Localized orthogonal decomposition method for the wave equation with a continuum of scales

- A. Abdulle, P. Henning
- Mathematics, Computer Science
- Math. Comput.
- 24 June 2014

TLDR

37 2- PDF

Numerical Homogenization of H(curl)-Problems

- D. Gallistl, P. Henning, Barbara Verfürth
- Mathematics, Computer Science
- SIAM J. Numer. Anal.
- 9 June 2017

TLDR

12 2- PDF

Crank-Nicolson Galerkin approximations to nonlinear Schrödinger equations with rough potentials

- P. Henning, D. Peterseim
- Mathematics
- 7 August 2016

This paper analyzes the numerical solution of a class of nonlinear Schrodinger equations by Galerkin finite elements in space and a mass and energy conserving variant of the Crank–Nicolson method due… Expand

7 2- PDF

A localized orthogonal decomposition method for semi-linear elliptic problems

- P. Henning, A. Målqvist, D. Peterseim
- Mathematics
- 15 November 2012

In this paper we propose and analyze a localized orthogonal decomposition (LOD) method for solving semi-linear elliptic problems with heterogeneous and highly variable coefficient functions. This… Expand

52 1- PDF

Efficient implementation of the Localized Orthogonal Decomposition method

- C. Engwer, P. Henning, Axel Maalqvist, D. Peterseim
- Mathematics
- 4 February 2016

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 simulation of partial… Expand

33 1- PDF

Two-Level Discretization Techniques for Ground State Computations of Bose-Einstein Condensates

- P. Henning, A. Målqvist, D. Peterseim
- Mathematics, Computer Science
- SIAM J. Numer. Anal.
- 17 May 2013

TLDR

35 1- PDF

Multiscale Partition of Unity

- D. Peterseim, P. Henning, Philipp Morgenstern
- Mathematics
- 20 December 2013

We introduce a new Partition of Unity Method for the numerical homogenization of elliptic partial differential equations with arbitrarily rough coefficients. We do not restrict to a particular ansatz… Expand

35 1- PDF