Výsledky vyhledávání - "Funken, Stefan"

Report

Local Coarsening Algorithms on Adaptively Refined Meshes in 2D and Their Efficient Implementation in MATLAB

Adaptive meshing includes local refinement as well as coarsening of meshes. Typically, coarsening algorithms are based on an explicit refinement history. In this work, we deal with local coarsening algorithms that build on the refinement strategies f

Externí odkaz: http://arxiv.org/abs/2011.02537

Zobrazit plný text záznamu

Report

$H^1$-Stability of the $L^2$-Projection onto Finite Element Spaces on Adaptively Refined Quadrilateral Meshes

Autor: Ali, Mazen, Funken, Stefan A., Schmidt, Anja

The $L^2$-orthogonal projection $\Pi_h:L^2(\Omega)\rightarrow\mathbb{V}_h$ onto a finite element (FE) space $\mathbb{V}_h$ is called $H^1$-stable iff $\|\nabla\Pi_h u\|_{L^2(\Omega)}\leq C\|u\|_{H^1(\Omega)}$, for any $u\in H^1(\Omega)$ with a positi

Externí odkaz: http://arxiv.org/abs/2008.12759

Zobrazit plný text záznamu

Report

A Coarsening Algorithm on Adaptive Red-Green-Blue Refined Meshes

Autor: Funken, Stefan A., Schmidt, Anja

Publikováno v: Numerical Algorithms 2020

Adaptive meshing is a fundamental component of adaptive finite element methods. This includes refining and coarsening meshes locally. In this work, we are concerned with the red-green-blue refinement strategy in two dimensions and its counterpart - c

Externí odkaz: http://arxiv.org/abs/2001.06343

Zobrazit plný text záznamu