Pengfei Zhu1, Qinghui Zhang2,*
CMES-Computer Modeling in Engineering & Sciences, Vol.124, No.1, pp. 107-127, 2020, DOI:10.32604/cmes.2020.09831
- 19 June 2020
Abstract There are several difficulties in generalized/extended finite element
methods (GFEM/XFEM) for moving interface problems. First, the GFEM/XFEM
may be unstable in a sense that condition numbers of system matrices could be
much bigger than those of standard FEM. Second, they may not be robust in that
the condition numbers increase rapidly as interface curves approach edges of
meshes. Furthermore, time stepping schemes need carrying out carefully since
both enrichment functions and enriched nodes in the GFEM/XFEM vary in time.
This paper is devoted to proposing the stable and robust GFEM/XFEM with effi-
cient time stepping… More >
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