- Centre National de la Recherche ScientifiqueFR528 papers
- University of ViennaAT480 papers
- Vienna Center for Quantum Science and TechnologyAT328 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR275 papers
- European Organization for Nuclear ResearchCH263 papers
- Charles UniversityCZ245 papers
- ETH ZurichCH223 papers
- Institute of High Energy PhysicsCN223 papers
- Université Paris-SaclayFR219 papers
- CEA Paris-SaclayFR215 papers
- University of WarsawPL215 papers
- Massachusetts Institute of TechnologyUS209 papers
11 papers · 2 filters
Rate optimal adaptive FEM with inexact solver for nonlinear operators
Gregor Gantner, Alexander Haberl, Dirk Praetorius +1
We prove convergence with optimal algebraic rates for an adaptive finite element method for nonlinear equations with strongly monotone operator. Unlike prior works, our analysis al…
Convergence of an implicit-explicit midpoint scheme for computational micromagnetics
Dirk Praetorius, Michele Ruggeri, Bernhard Stiftner
Based on lowest-order finite elements in space, we consider the numerical integration of the Landau-Lifschitz-Gilbert equation (LLG). The dynamics of LLG is driven by the so-called…
Robust exponential convergence of hp-FEM in balanced norms for singularly perturbed reaction-diffusion problems: corner domains
Jens Markus Melenk, Markus Faustmann
The hp-version of the finite element method is applied to singularly perturbed reaction-diffusion type equations on polygonal domains. The solution exhibits boundary layers as well…
Adaptive FEM with coarse initial mesh guarantees optimal convergence rates for compactly perturbed elliptic problems
Alex Bespalov, Alexander Haberl, Dirk Praetorius
We prove that for compactly perturbed elliptic problems, where the corresponding bilinear form satisfies a Garding inequality, adaptive mesh-refinement is capable of overcoming the…
An analysis of the TDNNS method using natural norms
Astrid S. Pechstein, Joachim Schöberl
The Tangential-Displacement Normal-Normal-Stress (TDNNS) method is a finite element method for mixed elasticity. As the name suggests, the tangential component of the displacement…
Symbolic Manipulation of Flows of Nonlinear Evolution Equations, with Application in the Analysis of Split-Step Time Integrators
Winfried Auzinger, Harald Hofstaetter, Othmar Koch
We describe a package realized in the Julia programming language which performs symbolic manipulations applied to nonlinear evolution equations, their flows, and commutators of suc…