Immersed interface method for elliptic equations based on a piecewise second order polynomial

DOI10.1016/j.camwa.2011.11.060zbMath1247.65139OpenAlexW2058516696MaRDI QIDQ453815

Yongfei Li, Yan-ren Hou, Jianping Zhao

Publication date: 30 September 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.11.060

zbMATH Keywords

discontinuous coefficientsinterfacefinite difference methodsimmersed interface methodelliptic equationsingular source term

Mathematics Subject Classification ID

Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (5)

A high-order immersed interface method free of derivative jump conditions for Poisson equations on irregular domains ⋮ The stable extrinsic extended finite element method for second order elliptic equation with interfaces ⋮ The immersed interface method for Helmholtz equations with degenerate diffusion ⋮ A stabilized coupled method and its optimal error estimates for elliptic interface problems ⋮ Modified intrinsic extended finite element method for elliptic equation with interfaces

Cites Work

• A decomposed immersed interface method for variable coefficient elliptic equations with non-smooth and discontinuous solutions
• Numerical analysis of blood flow in the heart
• A high-order immersed interface method for simulating unsteady incompressible flows on irregular domains
• Immersed Interface Methods for Neumann and Related Problems in Two and Three Dimensions
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• Convergence analysis of the immersed interface method
• The Explicit-Jump Immersed Interface Method: Finite Difference Methods for PDEs with Piecewise Smooth Solutions

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