Nonlinear wave equation with Dirichlet and acoustic boundary conditions: theoretical analysis and numerical simulation

DOI10.1007/s40314-022-01822-5zbMath1499.35378OpenAlexW4224054298MaRDI QIDQ2140774

Bruno A. Carmo, M. A. Rincon, Ronald R. Guardia, Adriano A. Alcântara, Haroldo R. Clark

Publication date: 23 May 2022

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-022-01822-5

zbMATH Keywords

Newton's methodnonlinear wave equationexistence and uniquenessconvergence orderdecay of the energyCrank-Nicolson Galerkin method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (2)

Wave equation with viscoelastic acoustic boundary conditions and supercritical source term ⋮ A finite element scheme for a 2D-wave equation with dynamical boundary control

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