Augmented immersed finite element methods for some elliptic partial differential equations

DOI10.1080/00207160.2015.1005010zbMath1341.65046OpenAlexW1987290411WikidataQ57432800 ScholiaQ57432800MaRDI QIDQ2804911

Zhilin Li, Jinru Chen, Haifeng Ji

Publication date: 6 May 2016

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2015.1005010

zbMATH Keywords

finite elementPoisson equationnumerical experimentirregular domaininterface problemelliptic partial differential equationlevel set functiongeneralized minimal residual (GMRES) iterative methodaugmented immersednon-homogeneous jump conditionsingularity removal technique

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Nonlinear elliptic equations (35J60) 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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Fictitious domain finite element method for Stokes/elliptic interface problems with jump coefficients ⋮ A high-order source removal finite element method for a class of elliptic interface problems

Cites Work

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