A note on immersed interface method for three-dimensional elliptic equations

DOI10.1016/0898-1221(95)00202-2zbMath0876.65074OpenAlexW2063161710MaRDI QIDQ1361227

Zhilin Li

Publication date: 12 November 1997

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

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00202-2

zbMATH Keywords

discontinuous coefficientserror analysisfinite difference methodsimmersed interface methodCartesian gridsingular source termirregular interface3D elliptic equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

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Cites Work

• Unnamed Item
• An analysis of the grid orientation effect in numerical simulation of miscible displacement
• Analysis of material interface dicontinuities and superconvergent fluxes in finite difference theory
• A front-tracking method for viscous, incompressible multi-fluid flows
• Numerical analysis of blood flow in the heart
• A level set approach for computing solutions to incompressible two-phase flow
• An unsplit, higher order Godunov method for scalar conservation laws in multiple dimensions
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• Homogeneous difference schemes
• The Fast Solution of Poisson’s and the Biharmonic Equations on Irregular Regions

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