Convergence of finite element method for linear second-order wave equations with discontinuous coefficients

DOI10.1002/num.21765zbMath1274.65255OpenAlexW1989465856WikidataQ115398254 ScholiaQ115398254MaRDI QIDQ2857464

Bhupen Deka, Tazuddin Ahmed

Publication date: 4 November 2013

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21765

zbMATH Keywords

finite element methodinterfaceoptimal error estimatessemidiscrete schemehyperbolicfully discrete scheme

Mathematics Subject Classification ID

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)

Related Items (13)

Optimal convergence analysis of the energy-preserving immersed weak Galerkin method for second-order hyperbolic interface problems in inhomogeneous media ⋮ Immersed finite element method for eigenvalue problem ⋮ Approximation of quasilinear hyperbolic problems with discontinuous coefficients: an optimal error estimate ⋮ \textit{A priori} \(L^{\infty}(L^2)\) error estimates for finite element approximations to parabolic integro-differential equations with discontinuous coefficients ⋮ Convergence of finite element methods for hyperbolic heat conduction model with an interface ⋮ Convergence of Weak Galerkin Finite Element Method for Second Order Linear Wave Equation in Heterogeneous Media ⋮ FEM-IDS for a second order strongly damped wave equation with memory ⋮ A priori \(L^\infty(L^{2})\) error estimates for finite element approximations to the wave equation with interface ⋮ Error estimates for an immersed finite element method for second order hyperbolic equations in inhomogeneous media ⋮ Approximation of linear hyperbolic interface problems on finite element: some new estimates ⋮ Optimal a priori error estimates for the finite element approximation of dual-phase-lag bio heat model in heterogeneous medium ⋮ Finite element methods for non-Fourier thermal wave model of bio heat transfer with an interface ⋮ Finite element method for hyperbolic heat conduction model with discontinuous coefficients in one dimension

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