A DGFEM for nondivergence form elliptic equations with Cordes coefficients on curved domains

DOI10.1002/num.22372zbMath1425.65163arXiv1708.05028OpenAlexW2963032421MaRDI QIDQ5239817

Ellya L. Kawecki

Publication date: 22 October 2019

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.05028

zbMATH Keywords

finite element methodsdiscontinuous GalerkinPDEsnondivergence formCordes conditioncurved

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)

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Convergence of adaptive discontinuous Galerkin and \(C^0\)-interior penalty finite element methods for Hamilton-Jacobi-Bellman and Isaacs equations ⋮ Discontinuous Galerkin methods for a class of nonvariational problems ⋮ Discontinuous Galerkin and C⁰-IP finite element approximation of periodic Hamilton–Jacobi–Bellman–Isaacs problems with application to numerical homogenization ⋮ \(C^0\) finite element approximations of linear elliptic equations in non-divergence form and Hamilton-Jacobi-Bellman equations with Cordes coefficients ⋮ Auxiliary space preconditioners for a \(C^0\) finite element approximation of Hamilton-Jacobi-Bellman equations with cordes coefficients ⋮ A C⁰ linear finite element method for a second‐order elliptic equation in non‐divergence form with Cordes coefficients ⋮ Error estimation for second‐order <scp>partial differential equations</scp> in nonvariational form ⋮ Finite element theory on curved domains with applications to discontinuous Galerkin finite element methods ⋮ A \(C^0\) finite element approximation of planar oblique derivative problems in non-divergence form ⋮ Adaptive \(C^0\) interior penalty methods for Hamilton-Jacobi-Bellman equations with cordes coefficients ⋮ A Discontinuous Galerkin Finite Element Method fOR Uniformly Elliptic Two Dimensional Oblique Boundary-Value Problems ⋮ Unified analysis of discontinuous Galerkin andC⁰-interior penalty finite element methods for Hamilton–Jacobi–Bellman and Isaacs equations

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