Two-grid mixed finite element method for nonlinear hyperbolic equations

DOI10.1016/j.camwa.2017.06.022zbMath1395.65092OpenAlexW2748954779MaRDI QIDQ1659972

Yanping Chen, Keyan Wang

Publication date: 23 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.06.022

zbMATH Keywords

error estimatemixed finite element methodtwo-grid methodnonlinear hyperbolic equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (6)

Domain decomposition and expanded mixed method for parabolic partial differential equations ⋮ Two-grid algorithms based on FEM for nonlinear time-fractional wave equations with variable coefficient ⋮ Superconvergence analysis of a two-grid method for nonlinear hyperbolic equations ⋮ A two-grid method for semi-linear elliptic interface problems by partially penalized immersed finite element methods ⋮ Uniformly superconvergent analysis of an efficient two-grid method for nonlinear bi-wave singular perturbation problem ⋮ Unconditional superconvergence analysis of a two-grid finite element method for nonlinear wave equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two-grid method for nonlinear reaction-diffusion equations by mixed finite element methods
• A priori estimates for mixed finite element methods for the wave equation
• Two families of mixed finite elements for second order elliptic problems
• A two-grid finite element method for a second-order nonlinear hyperbolic equation
• An improved two-grid finite element method for the Steklov eigenvalue problem
• A two-grid approximation scheme for nonlinear Schrödinger equations: dispersive properties and convergence
• Two-grid methods for semilinear interface problems
• A two-grid expanded mixed element method for nonlinear non-Fickian flow model in porous media
• Two-Grid Methods for Maxwell Eigenvalue Problems
• On the application of mixed finite element methods to the wave equations
• Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations
• Expanded mixed finite element methods for linear second-order elliptic problems, I
• A two-grid method for mixed finite-element solution of reaction-diffusion equations
• Improved error estimates for mixed finite‐element approximations for nonlinear parabolic equations: The discrete‐time case
• A Novel Two-Grid Method for Semilinear Elliptic Equations
• A two-grid method for expanded mixed finite-element solution of semilinear reaction-diffusion equations
• Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
• A Priori Error Estimates for Mixed Finite Element Approximations of the Acoustic Wave Equation
• Two-Grid Discretization Scheme for Nonlinear Reaction Diffusion Equation by Mixed Finite Element Methods
• $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations

This page was built for publication: Two-grid mixed finite element method for nonlinear hyperbolic equations