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math.NA2026
Geometry-Conforming Finite Element Methods for Interface Problems on Fitted and Unfitted Meshes
Yuanhui Lin, Tao Lin, Xu Zhang +1
We develop an arbitrary-degree geometry-conforming finite element (GC-FE) framework for two-dimensional elliptic boundary value and interface problems on curved domains. Using the…
math.NA2020★ 1 cited
Error Analysis of Symmetric Linear/Bilinear Partially Penalized Immersed Finite Element Methods for Helmholtz Interface Problems
Ruchi Guo, Tao Lin, Yanping Lin +1
This article presents an error analysis of the symmetric linear/bilinear partially penalized immersed finite element (PPIFE) methods for interface problems of Helmholtz equations.…
math.NA2020★ 2 cited
An Enriched Immersed Finite Element Method for Interface Problems with Nonhomogeneous Jump Conditions
Slimane Adjerid, Ivo Babuska, Ruchi Guo +1
This article presents and analyzes a -degree immersed finite element (IFE) method for elliptic interface problems with nonhomogeneous jump conditions. In this method, jump…