Convergence of adaptive two-grid weak Galerkin finite element methods for semilinear elliptic differential equations

DOI10.1016/j.cnsns.2023.107709zbMath1529.65120OpenAlexW4388979483MaRDI QIDQ6183810

Luoping Chen, JiaJia Dai

Publication date: 23 January 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2023.107709

zbMATH Keywords

convergenceadaptivesemilinear elliptic differential equationstwo-grid weak Galerkin method

Mathematics Subject Classification ID

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)

Cites Work

• A posteriori error estimates for weak Galerkin finite element methods for second order elliptic problems
• A weak Galerkin finite element method for the Maxwell equations
• A new weak Galerkin finite element method for elliptic interface problems
• A posteriori error estimates of two-grid finite element methods for nonlinear elliptic problems
• A weak Galerkin finite element method for second-order elliptic problems
• Convergence of adaptive weak Galerkin finite element methods for second order elliptic problems
• Analysis of a goal-oriented adaptive two-grid finite-element algorithm for semilinear elliptic problems
• Error estimates in weak Galerkin finite element methods for parabolic equations under low regularity assumptions
• Weak Galerkin based a posteriori error estimates for second order elliptic interface problems on polygonal meshes
• Weak Galerkin finite element methods for Parabolic equations
• Mixed and Hybrid Finite Element Methods
• A New Class of Iterative Methods for Nonselfadjoint or Indefinite Problems
• A Novel Two-Grid Method for Semilinear Elliptic Equations
• A Posteriori Error Estimator for a Weak Galerkin Finite Element Solution of the Stokes Problem
• Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
• Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes
• Analysis of Adaptive Two-Grid Finite Element Algorithms for Linear and Nonlinear Problems
• A posteriori error estimates of two-grid weak Galerkin methods for semilinear elliptic differential equations

This page was built for publication: Convergence of adaptive two-grid weak Galerkin finite element methods for semilinear elliptic differential equations