Hanging nodes and XFEM

Thomas Peter Fries*, Andreas Byfut, Alaskar Alizada, Kwok Wah Cheng, Andreas Schröder

*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beitrag in einer FachzeitschriftArtikelBegutachtung

Abstract

This paper investigates two approaches for the handling of hanging nodes in the framework of extended finite element methods (XFEM). Allowing for hanging nodes, locally refined meshes may be easily generated to improve the resolution of general, i.e. model-independent, steep gradients in the problem under consideration. Hence, a combination of these meshes with XFEM facilitates an appropriate modeling of jumps and kinks within elements that interact with steep gradients. Examples for such an interaction are, e.g. found in stress fields near crack fronts or in boundary layers near internal interfaces between two fluids. The two approaches for XFEM based on locally refined meshes with hanging nodes basically differ in whether (enriched) degrees of freedom are associated with the hanging nodes. Both approaches are applied to problems in linear elasticity and incompressible flows.

Originalspracheenglisch
Seiten (von - bis)404-430
Seitenumfang27
FachzeitschriftInternational Journal for Numerical Methods in Engineering
Jahrgang86
Ausgabenummer4-5
DOIs
PublikationsstatusVeröffentlicht - 29 Apr 2011

ASJC Scopus subject areas

  • Numerische Mathematik
  • Ingenieurwesen (insg.)
  • Angewandte Mathematik

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