Finite element methods with numerical quadrature for elliptic problems with smooth interfaces

DOI10.1016/j.cam.2009.12.052zbMath1189.65280OpenAlexW2002266103MaRDI QIDQ964984

Bhupen Deka

Publication date: 21 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.cam.2009.12.052

zbMATH Keywords

convergencefinite element methoddiscontinuous coefficientsinterfaceoptimal error estimatesnumerical experimentquadratureelliptic equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) 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) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items

Semidiscrete Finite Element Methods for Linear and Semilinear Parabolic Problems with Smooth Interfaces: Some New Optimal Error Estimates, Local discontinuous Galerkin methods for parabolic interface problems with homogeneous and non-homogeneous jump conditions, Optimal a priori error estimates for elliptic interface problems: weak Galerkin mixed finite element approximations, High-order weak Galerkin scheme for \(\mathbf{H} (\mathrm{div})\)-elliptic interface problems, Finite element methods for semilinear elliptic problems with smooth interfaces, A priori \(L^\infty(L^{2})\) error estimates for finite element approximations to the wave equation with interface, Approximation of linear hyperbolic interface problems on finite element: some new estimates, L^∞(L²) and L^∞(H¹) norms error estimates in finite element methods for electric interface model

Cites Work

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• Equivalent Norms for Sobolev Spaces
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