Convergence analysis of two-grid methods for second order hyperbolic equation

Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Second-order hyperbolic equations (35L10)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
A priori estimates for mixed finite element methods for the wave equation
A two-grid method for finite volume element approximations of second-order nonlinear hyperbolic equations
Two families of mixed finite elements for second order elliptic problems
Numerical treatment of two-dimensional interfaces for acoustic and elastic waves.
Expanded mixed FEM with lowest order RT elements for nonlinear and nonlocal parabolic problems
Error analysis of mixed finite element methods for nonlinear parabolic equations
Two-grid methods for expanded mixed finite element approximations of semi-linear parabolic integro-differential equations
A two-grid finite element method for a second-order nonlinear hyperbolic equation
Two-grid method for two-dimensional nonlinear Schrödinger equation by mixed finite element method
An $H^1$-Galerkin expanded mixed finite element approximation of second-order nonlinear hyperbolic equations
Numerical solution of a miscible displacement problem with dispersion term using a two-grid mixed finite element approach
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
Expanded mixed finite element methods for quasilinear second order elliptic problems, II
A two-grid method for mixed finite-element solution of reaction-diffusion equations
A Novel Two-Grid Method for Semilinear Elliptic Equations
Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
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
Analysis of Expanded Mixed Finite Element Methods for a Nonlinear Parabolic Equation Modeling Flow into Variably Saturated Porous Media
Two-Grid Finite Element Methods of Crank-Nicolson Galerkin Approximation for a Nonlinear Parabolic Equation
A Two-Grid Finite-Volume Method for the Schrodinger Equation
$L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations