Discontinuous bubble scheme for elliptic problems with jumps in the solution

DOI10.1016/j.cma.2010.06.029zbMath1225.65109OpenAlexW2162021607MaRDI QIDQ646247

Kwang S. Chang, Do Young Kwak

Publication date: 16 November 2011

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2010.06.029

zbMATH Keywords

uniform gridimmersed interfacerobust convergenceimmersed finite element methoddiscontinuous bubblejumps in the solution

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

RECENT DEVELOPMENT OF IMMERSED FEM FOR ELLIPTIC AND ELASTIC INTERFACE PROBLEMS, Discontinuous bubble immersed finite element method for Poisson-Boltzmann-Nernst-Planck model, New immersed finite volume element method for elliptic interface problems with non-homogeneous jump conditions, Enriched \(P_1\)-conforming methods for elliptic interface problems with implicit jump conditions, An efficient meshfree point collocation moving least squares method to solve the interface problems with nonhomogeneous jump conditions, Immersed finite element methods for unbounded interface problems with periodic structures, A gradient smoothing method and its multiscale variant for flows in heterogeneous porous media, Immersed finite element method for eigenvalue problem, Two-Grid Immersed Finite Volume Element Methods for Semi-Linear Elliptic Interface Problems with Non-Homogeneous Jump Conditions, Geometric multigrid algorithms for elliptic interface problems using structured grids, Locally conservative discontinuous bubble scheme for Darcy flow and its application to Hele-Shaw equation based on structured grids, A nonconforming immersed virtual element method for elliptic interface problems, A new Petrov-Galerkin immersed finite element method for elliptic interface problems with non-homogeneous jump conditions, A reduced Crouzeix-Raviart immersed finite element method for elasticity problems with interfaces, An Immersed Finite Element Method for the Elasticity Problems with Displacement Jump, Immersed Finite Element Method for Eigenvalue Problems in Elasticity, Discontinuous Bubble Immersed Finite Element Method for Poisson-Boltzmann Equation, Bilinear immersed finite volume element method for solving matrix coefficient elliptic interface problems with non-homogeneous jump conditions, A hybridizable discontinuous Galerkin method for elliptic interface problems in the formulation of boundary integral equations, A new augmented immersed finite element method without using SVD interpolations, An IMPES scheme for a two-phase flow in heterogeneous porous media using a structured grid, A Partially Penalised Immersed Finite Element Method for Elliptic Interface Problems with Non-Homogeneous Jump Conditions, Unnamed Item

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