A weak Galerkin method with an over-relaxed stabilization for low regularity elliptic problems

DOI10.1007/s10915-016-0296-4zbMath1398.65309OpenAlexW2525474198MaRDI QIDQ1704777

Shan Zhao, Kaifang Liu, Lun-Ji Song

Publication date: 13 March 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-016-0296-4

zbMATH Keywords

finite element methodsweak Galerkindiscrete weak gradientlow regularitysecond order elliptic problems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for partial differential equations, boundary value problems (65N99)

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Cites Work

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• Weak Galerkin methods for second order elliptic interface problems
• A posteriori error estimates for weak Galerkin finite element methods for second order elliptic problems
• Discontinuous Galerkin methods for second-order elliptic PDE with low-regularity solutions
• A weak Galerkin finite element method for second-order elliptic problems
• A weak Galerkin finite element method with polynomial reduction
• A computational study of the weak Galerkin method for second-order elliptic equations
• An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
• A weak Galerkin mixed finite element method for second order elliptic problems
• Weak Galerkin Finite Element Methods on Polytopal Meshes
• The Stability in L p and W p 1 of the L 2 -Projection onto Finite Element Function Spaces
• An Interior Penalty Finite Element Method with Discontinuous Elements
• A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems
• Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes

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