Numerical Approximation of a Wave Equation with Unilateral Constraints

DOI10.2307/2008349zbMath0683.65088OpenAlexW4239608317MaRDI QIDQ4733345

Michelle Schatzman, Michel Bercovier

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2008349

zbMATH Keywords

convergencewave equationnumerical examplesfinite difference schemeFinite elementscharacteristiclongitudinal vibrations of a rodsubcharacteristics

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Wave equation (35L05) Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators (35L85)

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Cites Work

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• A wave problem in a half-space with a unilateral constraint at the boundary
• Integrals which are convex functionals. II
• The adjoint semi-group
• A class of nonlinear differential equations of second order in time
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