Strongly Stable Generalized Finite Element Method (SSGFEM) for a non-smooth interface problem

• Published in: Computer methods in applied mechanics and engineering Vol. 344; pp. 538 - 568
• Main Authors: Zhang, Qinghui, Banerjee, Uday, Babuška, Ivo
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.02.2019; Elsevier BV
• Subjects: Conditioning; Convergence; Enrichment; Finite element analysis; Finite element method; GFEM/XFEM; Interface; Mathematical analysis; Nodes; Nonlinear programming; Robustness (mathematics); Scaled condition number; Singularity; SSGFEM; GFEM/XFEM; Singularity; SSGFEM; Scaled condition number; Interface; Convergence

In this paper, we propose a Strongly Stable generalized finite element method (SSGFEM) for a non-smooth interface problem, where the interface has a corner. The SSGFEM employs enrichments of 2 types: the nodes in a neighborhood of the corner are enriched by singular functions characterizing the sing...