Finite-element solution of nonlinear time-dependent exterior wave problems

DOI10.1006/jcph.1998.9999zbMath0923.65066OpenAlexW2023338631MaRDI QIDQ1286968

Igor Patlashenko, Dan Givoli

Publication date: 17 October 1999

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

Full work available at URL: https://doi.org/10.1006/jcph.1998.9999

zbMATH Keywords

numerical resultsfinite elementKlein-Gordon equationNewton iterationnonlinear wave equationexterior problemsDirichlet-to-Neumann boundary conditionnonlinear time-dependent exterior wave problems

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (8)

A Nitsche method for wave propagation problems in time domain ⋮ DRBEM solution of exterior nonlinear wave problem using FDM and LSM time integrations ⋮ OPTIMAL LOCAL NONREFLECTING BOUNDARY CONDITIONS FOR TIME-DEPENDENT WAVES ⋮ Weak boundary conditions for wave propagation problems in confined domains: formulation and implementation using a variational multiscale method ⋮ A Schwarz alternating algorithm for elliptic boundary value problems in an infinite domain with a concave angle ⋮ Pseudospectral solution of linear evolution equations of second order in space and time on unstructured quadrilateral subdomain topologies ⋮ High-order two-way artificial boundary conditions for nonlinear wave propagation with backscattering ⋮ Optimal local non-reflecting boundary conditions

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