Superconvergence analysis of a two-grid method for nonlinear hyperbolic equations

DOI10.1016/j.camwa.2019.12.019zbMath1447.65065OpenAlexW2999509659WikidataQ126356331 ScholiaQ126356331MaRDI QIDQ2192470

Yifan Wei, Dong-Yang Shi

Publication date: 17 August 2020

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2019.12.019

zbMATH Keywords

superconvergencecombination techniquenonlinear hyperbolic equationssecond-order fully discrete scheme

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (2)

A new combined scheme of \(H^1\)-Galerkin FEM and TGM for bacterial equations ⋮ Unconditional superconvergence of the fully-discrete schemes for nonlinear prey-predator model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for Sobolev equations
• Accuracy analysis for Quasi-Carey element
• Superconvergence analysis of the finite element method for nonlinear hyperbolic equations with nonlinear boundary condition
• The full-discrete mixed finite element methods for nonlinear hyperbolic equations
• Superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{\mathrm{rot}}\) nonconforming finite element
• Two-grid mixed finite element method for nonlinear hyperbolic equations
• Unconditional superconvergence analysis of a linearized Galerkin FEM for nonlinear hyperbolic equations
• A two-grid finite element method for a second-order nonlinear hyperbolic equation
• Unconditional superconvergence analysis for nonlinear hyperbolic equation with nonconforming finite element
• Superconvergence analysis of anisotropic linear triangular finite element for nonlinear Schrödinger equation
• Simple nonconforming quadrilateral Stokes element
• Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations
• The P₁^mod Element: A New Nonconforming Finite Element for Convection-Diffusion Problems
• Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations
• Analysis of two‐grid discretization scheme for semilinear hyperbolic equations by mixed finite element methods
• Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation
• $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations
• A multilevel finite element method in space‐time for the Navier‐Stokes problem

This page was built for publication: Superconvergence analysis of a two-grid method for nonlinear hyperbolic equations