Details

Autor(en) / Beteiligte

• Bordas, Stéphane P. A
• Burman, Erik
• Larson, Mats G
• Olshanskii, Maxim A

Titel

Trace Finite Element Methods for PDEs on Surfaces

Ist Teil von

• Geometrically Unfitted Finite Element Methods and Applications, 2017, Vol.121, p.211-258

Ort / Verlag

Switzerland: Springer International Publishing AG

Erscheinungsjahr

2017

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper we consider a class of unfitted finite element methods for discretization of partial differential equations on surfaces. In this class of methods known as the Trace Finite Element Method (TraceFEM), restrictions or traces of background surface-independent finite element functions are used to approximate the solution of a PDE on a surface. We treat equations on steady and time-dependent (evolving) surfaces. Higher order TraceFEM is explained in detail. We review the error analysis and algebraic properties of the method. The paper navigates through the known variants of the TraceFEM and the literature on the subject.