Finite element methods for second order linear hyperbolic interface problems

DOI10.1016/J.AMC.2012.04.055zbMath1278.65151OpenAlexW2081528749MaRDI QIDQ387461

Bhupen Deka, Rajen Kumar Sinha

Publication date: 23 December 2013

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.04.055

zbMATH Keywords

discontinuous coefficientsinterfacefinite element approximationoptimal error estimateshyperbolicsemidiscrete and fully discrete schemes

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (6)

Optimal convergence analysis of the energy-preserving immersed weak Galerkin method for second-order hyperbolic interface problems in inhomogeneous media ⋮ New Finite Element Method for Solving a Wave Equation with a Nonlocal Conservation Condition ⋮ Approximation of quasilinear hyperbolic problems with discontinuous coefficients: an optimal error estimate ⋮ FEM-IDS for a second order strongly damped wave equation with memory ⋮ 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

Cites Work

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• Energy method for a parabolic-hyperbolic interface problem arising in electromagnetism
• A priori error estimates in the finite element method for nonself-adjoint elliptic and parabolic interface problems
• Fixed mesh finite element approximations to a free boundary problem for an elliptic equation with an oblique derivative boundary condition
• Finite element methods and their convergence for elliptic and parabolic interface problems
• A study of numerical methods for hyperbolic conservation laws with stiff source terms
• The finite element method for elliptic equations with discontinuous coefficients
• A Finite-element Method for Solving Elliptic Equations with Neumann Data on a Curved Boundary Using Unfitted Meshes
• On Convergence of the Finite Element Method for the Wave Equation
• Fitted and Unfitted Finite-Element Methods for Elliptic Equations with Smooth Interfaces
• Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations
• On the regularity of solution of hyoerbolic equation with discontinuous coefficients varible in time
• Finite Element Discretizations of Elliptic Problems in the Presence of Arbitrarily Small Ellipticity: An Error Analysis
• On the Convergence of Finite Element Method for Second Order Elliptic Interface Problems
• Equivalent Norms for Sobolev Spaces
• $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations
• Optimal Error Estimates for Linear Parabolic Problems with Discontinuous Coefficients
• A new interface method for hyperbolic problems with discontinuous coefficients: One-dimensional acoustic example

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