Superconvergence of the lowest-order weak Galerkin finite element method for elliptic interface problems

DOI10.1016/J.CAMWA.2023.09.023OpenAlexW4387149385MaRDI QIDQ6072946

Fuzheng Gao, Jintao Cui, Yue Wang

Publication date: 13 October 2023

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2023.09.023

zbMATH Keywords

finite element methodsuperconvergenceweak Galerkin methodelliptic interface problem

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) Second-order elliptic equations (35J15)

Cites Work

• Unnamed Item
• Weak Galerkin methods for second order elliptic interface problems
• A new weak Galerkin finite element method for elliptic interface problems
• A relaxed weak Galerkin method for elliptic interface problems with low regularity
• Hybridized discontinuous Galerkin method for elliptic interface problems: error estimates under low regularity assumptions of solutions
• A weak Galerkin finite element method for second-order elliptic problems
• A stabilizer free weak Galerkin finite element method on polytopal mesh. II
• A conforming discontinuous Galerkin finite element method for elliptic interface problems
• A conforming discontinuous Galerkin finite element method for linear elasticity interface problems
• A priori and a posterior error estimate of new weak Galerkin finite element methods for second order elliptic interface problems on polygonal meshes
• An immersed weak Galerkin method for elliptic interface problems
• A discontinuous Galerkin method for elliptic interface problems with application to electroporation
• A weak Galerkin mixed finite element method for second order elliptic problems
• Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions
• A Fast Iterative Algorithm for Elliptic Interface Problems
• Hybridized CutFEM for Elliptic Interface Problems

This page was built for publication: Superconvergence of the lowest-order weak Galerkin finite element method for elliptic interface problems