Block preconditioning strategies for nonlinear viscous wave equations

DOI10.1016/j.apm.2012.12.014zbMath1278.65129OpenAlexW2020740969MaRDI QIDQ380104

Qifeng Zhang, Cheng-Jian Zhang

Publication date: 12 November 2013

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0307904X12007639?np=y

zbMATH Keywords

algorithmstabilitynumerical examplespreconditioningoperator splittingiterative methodsimplicit Euler methodCrank-Nicolson schemematrix splittingtime-integrationbackward differentiation formulasnonlinear viscous wave equations

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) 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) Preconditioners for iterative methods (65F08)

Related Items (4)

Linearized ADI schemes for two-dimensional space-fractional nonlinear Ginzburg-Landau equation ⋮ Unified compact ADI methods for solving nonlinear viscous and nonviscous wave equations ⋮ Algebraic Multigrid Block Preconditioning for Multi-Group Radiation Diffusion Equations ⋮ Kronecker product splitting preconditioners for implicit Runge-Kutta discretizations of viscous wave equations

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