A priori \(L^\infty(L^{2})\) error estimates for finite element approximations to the wave equation with interface

DOI10.1016/J.APNUM.2017.01.004zbMath1358.65062OpenAlexW2579464819WikidataQ114208319 ScholiaQ114208319MaRDI QIDQ512298

Bhupen Deka

Publication date: 24 February 2017

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2017.01.004

zbMATH Keywords

convergencewave equationfinite element methoddiscontinuous coefficientsinterfaceoptimal error estimatessemidiscrete schemenumerical experimentimplicit time stepping

Mathematics Subject Classification ID

Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (8)

Approximation of quasilinear hyperbolic problems with discontinuous coefficients: an optimal error estimate ⋮ A Posteriori Error Analysis of a $P_2$-CDG Space-Time Finite Element Method for the Wave Equation ⋮ \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 ⋮ 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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