An Extension of the Discontinuous Galerkin Method for the Singular Poisson Equation

DOI10.1137/120878586zbMath1266.65195OpenAlexW2080207598MaRDI QIDQ5300110

Martin Oberlack, Florian Kummer

Publication date: 26 June 2013

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/120878586

zbMATH Keywords

level setPoisson equationdiscontinuous Galerkinmultiphase flowssymmetric interior penaltyjump operator

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (4)

A high-order immersed interface method free of derivative jump conditions for Poisson equations on irregular domains ⋮ An Extended Discontinuous Galerkin Framework for Multiphase Flows ⋮ A hybridizable discontinuous Galerkin method for elliptic interface problems in the formulation of boundary integral equations ⋮ \(L^2\)-error analysis of an Isoparametric unfitted finite element method for elliptic interface problems

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