Estimate of the Convergence Rate of Finite Element Solutions to Elliptic Equations of Second Order with Discontinuous Coefficients

zbMath0484.65070arXiv1311.4178MaRDI QIDQ3943944

Jin-Chao Xu

Publication date: 1982

Full work available at URL: https://arxiv.org/abs/1311.4178

zbMATH Keywords

discontinuous coefficientsfinite elementconvergence rateasymptotically optimal error estimate

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Immersed virtual element methods for elliptic interface problems in two dimensions ⋮ A conforming enriched finite element method for elliptic interface problems ⋮ A Nonconforming Nitsche's Extended Finite Element Method for Elliptic Interface Problems ⋮ An Interface-Unfitted Conforming Enriched Finite Element Method for Stokes-Elliptic Interface Problems with Jump Coefficients ⋮ A conforming enriched finite element method for Stokes interface problems ⋮ An optimal multigrid algorithm for the combining \(P_1\)-\(Q_1\) finite element approximations of interface problems based on local anisotropic fitting meshes ⋮ High-order finite element methods for interface problems: theory and implementations ⋮ An adaptive high-order unfitted finite element method for elliptic interface problems

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