scientific article; zbMATH DE number 6154736

zbMath1263.65125MaRDI QIDQ4913879

Ming-Chih Lai, Zhilin Li, Chin-Tien Wu

Publication date: 17 April 2013

Full work available at URL: http://www.math.ualberta.ca/ijnam/Volume8.htm

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zbMATH Keywords

numerical examplesadaptive mesh refinementinterfaceerror estimationssecond-order elliptic boundary value problemimmersed finite element method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (12)

Error analysis of a diffuse interface method for elliptic problems with Dirichlet boundary conditions ⋮ A second-order stable explicit interface advancing scheme for FSI with both rigid and elastic structures and its application to fish swimming simulations ⋮ Direct meshless local Petrov-Galerkin method for elliptic interface problems with applications in electrostatic and elastostatic ⋮ An immersed finite element method for elliptic interface problems on surfaces ⋮ Gradient recovery for elliptic interface problem. II: Immersed finite element methods ⋮ Adaptively deformed mesh based interface method for elliptic equations with discontinuous coefficients ⋮ A numerical method for solving elliptic interface problems using Petrov-Galerkin formulation with adaptive refinement ⋮ A selective immersed discontinuous Galerkin method for elliptic interface problems ⋮ An iterative immersed finite element method for an electric potential interface problem based on given surface electric quantity ⋮ Residual-based a posteriori error estimation for immersed finite element methods ⋮ A posteriori error estimation and adaptive mesh refinement for parabolic interface problems using non-conforming immersed finite element method ⋮ Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems

Uses Software

• IIMPACK

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