Well-posedness, stability and conservation for a discontinuous interface problem

DOI10.1007/s10543-015-0576-7zbMath1341.65036OpenAlexW2122441514MaRDI QIDQ291915

Cristina La Cognata, Jan Nordström

Publication date: 10 June 2016

Published in: BIT (Search for Journal in Brave)

Full work available at URL: http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-110921

zbMATH Keywords

stabilityCauchy problemnumerical exampleswell-posednessinterfaceinitial boundary value problemssemidiscretizationadvection equationconservationhigh-order accuracyinterface conditionsdiscontinuous coefficients problemssummation-by-parts operators

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs with low regular coefficients and/or low regular data (35R05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial-boundary value problems for first-order hyperbolic equations (35L04)

Related Items

Stability of discontinuous Galerkin spectral element schemes for wave propagation when the coefficient matrices have jumps ⋮ Accuracy of stable, high-order finite difference methods for hyperbolic systems with non-smooth wave speeds ⋮ A split-form, stable CG/DG-SEM for wave propagation modeled by linear hyperbolic systems ⋮ Well-Posedness, Stability and Conservation for a Discontinuous Interface Problem: An Initial Investigation ⋮ High order discontinuous cut finite element methods for linear hyperbolic conservation laws with an interface

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