Theoretical analysis and numerical simulation for a hyperbolic equation with Dirichlet and acoustic boundary conditions

DOI10.1007/s40314-018-0601-yzbMath1415.35175OpenAlexW2793229706WikidataQ130189660 ScholiaQ130189660MaRDI QIDQ1993466

M. A. Rincon, Adriano A. Alcântara, Haroldo R. Clark

Publication date: 5 November 2018

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

Full work available at URL: https://doi.org/10.1007/s40314-018-0601-y

zbMATH Keywords

energy decayorder of convergence of the approximate solution

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) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (9)

Nonlinear wave equation with Dirichlet and acoustic boundary conditions: theoretical analysis and numerical simulation ⋮ Wave equation with viscoelastic acoustic boundary conditions and supercritical source term ⋮ Energy decay for a wave equation of variable coefficients with logarithmic nonlinearity source term ⋮ Well‐posedness and exponential stability for a nonlinear wave equation with acoustic boundary conditions ⋮ Stability for Semilinear Wave Equation in an Inhomogeneous Medium with Frictional Localized Damping and Acoustic Boundary Conditions ⋮ On a nonlinear problem with Dirichlet and acoustic boundary conditions ⋮ Numerical analysis and simulation for a wave equation with dynamical boundary control ⋮ Well-posedness and stability for Kirchhoff equation with non-porous acoustic boundary conditions ⋮ A finite element scheme for a 2D-wave equation with dynamical boundary control

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