Energy method for a parabolic-hyperbolic interface problem arising in electromagnetism
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Publication:803814
DOI10.1007/BF00945129zbMath0726.35087OpenAlexW1992904731MaRDI QIDQ803814
Akram Al-Droubi, Michael Renardy
Publication date: 1988
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00945129
regularityenergy estimatesexistencesingular perturbationweak solutionsGalerkin's methodexternal electromagnetic fieldmetallic cylinderparabolic-hyperbolic problemproduction of eddy currents
Related Items (12)
Optimal convergence analysis of the energy-preserving immersed weak Galerkin method for second-order hyperbolic interface problems in inhomogeneous media ⋮ Approximation of quasilinear hyperbolic problems with discontinuous coefficients: an optimal error estimate ⋮ Finite element methods for second order linear hyperbolic interface problems ⋮ Analysis and numerical approximation of a parabolic-hyperbolic transmission problem ⋮ Nonlocal boundary-value problem for a parabolic-hyperbolic equation of the second kind ⋮ Weak Galerkin Finite Element Methods for Parabolic Interface Problems with Nonhomogeneous Jump Conditions ⋮ A FEM for Solving Two-Dimensional Nonlinear Elliptic-Parabolic Interface Problems with Nonhomogeneous Jump Conditions ⋮ A priori \(L^\infty(L^{2})\) error estimates for finite element approximations to the wave equation with interface ⋮ A Coupling Interface Method for a Nonlinear Parabolic-Elliptic Problem ⋮ Immersed Interface Difference Schemes for a Parabolic-Elliptic Interface Problem ⋮ Convergence of finite element method for linear second-order wave equations with discontinuous coefficients ⋮ An over-penalized weak Galerkin method for parabolic interface problems with time-dependent coefficients
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