Supercloseness of primal-dual Galerkin approximations for second order elliptic problems

DOI10.1007/s10915-017-0538-0zbMath1398.65294OpenAlexW2748637508MaRDI QIDQ1747632

Manuel A. Sánchez, Bernardo Cockburn, Chunguang Xiong

Publication date: 26 April 2018

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

Full work available at URL: https://doi.org/10.1007/s10915-017-0538-0

zbMATH Keywords

mixed methodssuperclosetensor coefficienthybridizable discontinuous Galerkin

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)

Related Items (2)

Hybridizable discontinuous Galerkin methods for second-order elliptic problems: overview, a new result and open problems ⋮ Symplectic Hamiltonian finite element methods for linear elastodynamics

Cites Work

• Unnamed Item
• An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators
• Two families of mixed finite elements for second order elliptic problems
• A hybrid high-order locking-free method for linear elasticity on general meshes
• Hybrid high-order methods for variable-diffusion problems on general meshes
• An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
• A Hybridizable Discontinuous Galerkin Method for the $p$-Laplacian
• Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods
• Superconvergent HDG methods for linear elasticity with weakly symmetric stresses
• A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems
• Superconvergent discontinuous Galerkin methods for second-order elliptic problems
• Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
• A projection-based error analysis of HDG methods
• A hybridizable discontinuous Galerkin method for linear elasticity
• An Interior Penalty Finite Element Method with Discontinuous Elements
• Mixed and Hybrid Finite Element Methods
• Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences

This page was built for publication: Supercloseness of primal-dual Galerkin approximations for second order elliptic problems