A note on the immersed finite element basis functions for elliptic interface problems

DOI10.1016/j.aml.2020.106660zbMath1458.74134OpenAlexW3109856111MaRDI QIDQ1996337

Zhimin Zhang, Hong-Bo Guan, Hui-Qing Zhu

Publication date: 4 March 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106660

zbMATH Keywords

basis bubble functionrectangular interface element

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with low regular coefficients and/or low regular data (35R05) Finite element methods applied to problems in fluid mechanics (76M10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Immersed finite element method for eigenvalue problem
• \(P_1\)-nonconforming triangular finite element method for elliptic and parabolic interface problems
• Composite finite elements for elliptic boundary value problems with discontinuous coefficients
• Matched interface and boundary (MIB) method for elliptic problems with sharp-edged interfaces
• The immersed interface method using a finite element formulation
• A fixed mesh method with immersed finite elements for solving interface inverse problems
• Recovering elastic inclusions by shape optimization methods with immersed finite elements
• The finite element method for elliptic equations with discontinuous coefficients
• The convergence of the bilinear and linear immersed finite element solutions to interface problems
• Numerical Methods for Fluid-Structure Interaction — A Review
• A group of immersed finite-element spaces for elliptic interface problems

This page was built for publication: A note on the immersed finite element basis functions for elliptic interface problems