A second order isoparametric finite element method for elliptic interface problems

DOI10.1007/s11766-013-3088-8zbMath1289.65257OpenAlexW2144759594MaRDI QIDQ377937

Danfu Han, Xianliang Hu, Xufa Fang

Publication date: 19 November 2013

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-013-3088-8

zbMATH Keywords

finite element methodnumerical examplesinterface elementelliptic interface problemscurved boundary elementimmersed interface problemisoparametric element

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (2)

A second‐order isoparametric element method to solve plane linear elastic problem ⋮ An isoparametric mixed finite element method for approximating a class of fourth-order elliptic problem

Cites Work

• Unnamed Item
• Unnamed Item
• Adaptively deformed mesh based interface method for elliptic equations with discontinuous coefficients
• A decomposed immersed interface method for variable coefficient elliptic equations with non-smooth and discontinuous solutions
• A finite element method for interface problems in domains with smooth boundaries and interfaces
• On the fictitious-domain and interpolation formulations of the matched interface and boundary (MIB) method
• A Cartesian grid finite volume method for elliptic equations with variable coefficients and embedded interfaces
• Matched interface and boundary (MIB) method for elliptic problems with sharp-edged interfaces
• Piecewise-polynomial discretization and Krylov-accelerated multigrid for elliptic interface problems
• Numerical analysis of blood flow in the heart
• The immersed interface method using a finite element formulation
• A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
• New Cartesian grid methods for interface problems using the finite element formulation
• A coupling interface method for elliptic interface problems
• Three-dimensional matched interface and boundary (MIB) method for treating geometric singularities
• High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources
• Curved, isoparametric, 'quadrilateral' elements for finite element analysis
• The finite element method for elliptic equations with discontinuous coefficients
• Maximum Principle Preserving Schemes for Interface Problems with Discontinuous Coefficients
• DSC analysis of free-edged beams by an iteratively matched boundary method
• A discontinuous Galerkin method for elliptic interface problems with application to electroporation
• A Triangulation Algorithm for Fast Elliptic Solvers Based on Domain Imbedding
• Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• A Fast Iterative Algorithm for Elliptic Interface Problems
• A Jump Condition Capturing Finite Difference Scheme for Elliptic Interface Problems
• The Explicit-Jump Immersed Interface Method: Finite Difference Methods for PDEs with Piecewise Smooth Solutions
• The Fast Solution of Poisson’s and the Biharmonic Equations on Irregular Regions

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