A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations

DOI10.1090/S0025-5718-2012-02643-3zbMath1263.65094OpenAlexW2078877890MaRDI QIDQ4912001

Jian-Guo Liu, Li Wang, Shih Jin

Publication date: 20 March 2013

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2012-02643-3

zbMATH Keywords

Laplace transformdomain decompositionnumerical experimentswell-posednesssemilinear hyperbolic systemslinear caseasymptotic convergenceinterface conditionmultiple relaxation timeshomogeneous and inhomogeneous initial data

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace transform (44A10) Initial-boundary value problems for first-order hyperbolic systems (35L50) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (5)

Coupling conditions for linear hyperbolic relaxation systems in two-scale problems ⋮ Efficient numerical methods for multiscale crowd dynamics with emotional contagion ⋮ Well-posedness and singular limit of a semilinear hyperbolic relaxation system with a two-scale discontinuous relaxation rate ⋮ Asymptotic-preserving Godunov-type numerical schemes for hyperbolic systems with stiff and nonstiff relaxation terms ⋮ Dynamic model adaptation for multiscale simulation of hyperbolic systems with relaxation

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