Weak Galerkin based a posteriori error estimates for second order elliptic interface problems on polygonal meshes

DOI10.1016/j.cam.2019.04.026zbMath1418.65160OpenAlexW2947298668WikidataQ127886346 ScholiaQ127886346MaRDI QIDQ2315853

Lin Mu

Publication date: 26 July 2019

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

Full work available at URL: https://www.osti.gov/biblio/1531206

zbMATH Keywords

finite element methodsweak Galerkinpolygonal meshessecond-order elliptic interface problemsa posterior error estimate

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Variational methods for elliptic systems (35J50)

Related Items (13)

Unconditionally optimal error estimates of a linearized weak Galerkin finite element method for semilinear parabolic equations ⋮ A Posteriori Error Estimates of Edge Residual-Type of Weak Galerkin Mixed FEM Solving Second-Order Elliptic Problems on Polytopal Mesh ⋮ Weak Galerkin finite element method for linear elasticity interface problems ⋮ Convergence and optimality of an adaptive modified weak Galerkin finite element method ⋮ A posteriori error estimates of two-grid weak Galerkin methods for semilinear elliptic differential equations ⋮ The adaptive SAV weak Galerkin finite element method for the Allen-Cahn equation ⋮ Convergence of adaptive two-grid weak Galerkin finite element methods for semilinear elliptic differential equations ⋮ A Fully Computable A Posteriori Error Estimate for the Stokes Equations on Polytopal Meshes ⋮ A posteriori error estimates for weak Galerkin methods for second order elliptic problems on polygonal meshes ⋮ A priori and a posteriori error estimates of the weak Galerkin finite element method for parabolic problems ⋮ Convergence of adaptive weak Galerkin finite element methods for second order elliptic problems ⋮ A new over-penalized weak Galerkin finite element method. II: Elliptic interface problems ⋮ A recovery-based a posteriori error estimator of the weak Galerkin finite element method for elliptic problems

Cites Work

• Unnamed Item
• Unnamed Item
• A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media
• A posteriori error estimates for weak Galerkin finite element methods for second order elliptic problems
• A posteriori error estimates for discontinuous Galerkin methods of obstacle problems
• A-posteriori error estimates for discontinuous Galerkin approximations of second order elliptic problems
• Convergence analysis of the high-order mimetic finite difference method
• On recursive refinement of convex polygons
• A hybrid high-order locking-free method for linear elasticity on general meshes
• An a posteriori-driven adaptive mixed high-order method with application to electrostatics
• A weak Galerkin finite element method for second-order elliptic problems
• A posteriori error estimates of discontinuous Galerkin method for nonmonotone quasi-linear elliptic problems
• Hybrid high-order methods for variable-diffusion problems on general meshes
• A simple a posteriori estimate on general polytopal meshes with applications to complex porous media flows
• A virtual element method for elastic and inelastic problems on polytope meshes
• The mimetic finite difference method for elliptic problems
• Virtual Element Method for general second-order elliptic problems on polygonal meshes
• Mixed virtual element methods for general second order elliptic problems on polygonal meshes
• The arbitrary order mixed mimetic finite difference method for the diffusion equation
• A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes
• A Hybrid High-Order method for Leray–Lions elliptic equations on general meshes
• Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations
• A weak Galerkin mixed finite element method for second order elliptic problems
• Weak Galerkin Finite Element Methods on Polytopal Meshes
• A Posteriori Error Estimation for Discontinuous Galerkin Finite Element Approximation
• Mesh Refinement Processes Based on the Generalized Bisection of Simplices
• Design and data structure of fully adaptive, multigrid, finite-element software
• On the poisson equation with intersecting interfaces
• Arbitrary-order mixed methods for heterogeneous anisotropic diffusion on general meshes
• BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
• A Posteriori Error Estimates for the Weak Galerkin Finite Element Methods on Polytopal Meshes
• A virtual element method with arbitrary regularity

This page was built for publication: Weak Galerkin based a posteriori error estimates for second order elliptic interface problems on polygonal meshes