Low regularity primal-dual weak Galerkin finite element methods for convection-diffusion equations

DOI10.1016/j.cam.2021.113543zbMath1467.65114arXiv1901.06743OpenAlexW3139219733MaRDI QIDQ2029419

Chunmei Wang, Ludmil T. Zikatanov

Publication date: 3 June 2021

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

Full work available at URL: https://arxiv.org/abs/1901.06743

zbMATH Keywords

convection-diffusion equationmixed boundary conditionsconvexlow regularity solutionsnon-convex polygonal domainprimal-dual finite element method: weak Galerkin

Mathematics Subject Classification ID

Dynamics of phase boundaries in solids (74N20) 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) Variational methods for elliptic systems (35J50) A priori estimates in context of PDEs (35B45) Variational methods for higher-order elliptic equations (35J35)

Related Items (11)

A primal-dual finite element method for transport equations in non-divergence form ⋮ A new numerical method for div-curl systems with low regularity assumptions ⋮ Curved elements in weak Galerkin finite element methods ⋮ Weak Galerkin finite element methods for quad-curl problems ⋮ An \(L^p\)-primal-dual finite element method for first-order transport problems ⋮ Generalized weak Galerkin finite element methods for biharmonic equations ⋮ New primal-dual weak Galerkin finite element methods for convection-diffusion problems ⋮ Low Regularity Primal-Dual Weak Galerkin Finite Element Methods for Ill-Posed Elliptic Cauchy Problems ⋮ A primal-dual finite element method for first-order transport problems ⋮ Application of C-Bézier and H-Bézier basis functions to numerical solution of convection-diffusion equations ⋮ An \(L^p\)-primal-dual weak Galerkin method for div-curl systems

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