A second order virtual node method for elliptic problems with interfaces and irregular domains

DOI10.1016/j.jcp.2010.05.002zbMath1197.65168OpenAlexW2119611099MaRDI QIDQ995255

James H. von Brecht, Joseph M. Teran, Eftychios Sifakis, Jacob Bedrossian, Siwei Zhu

Publication date: 13 September 2010

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.05.002

zbMATH Keywords

numerical experimentsvariational methodsPoisson equationfinite differenceirregular domainsvariable coefficientelliptic interface problemsembedded interface methodsvirtual node methodsinterfacial discontinuities

Mathematics Subject Classification ID

PDEs with low regular coefficients and/or low regular data (35R05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

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Uses Software

• PETSc
• SuiteSparseQR
• SuitSparseQR
• IIMPACK

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