Superconvergence analysis of an \(H^1\)-Galerkin mixed FEM for Klein-Gordon-Zakharov equations with power law nonlinearity
DOI10.1016/j.cnsns.2023.107787OpenAlexW4389832015MaRDI QIDQ6143086
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.2023.107787
superclose and superconvergence\(H^1\)-Galerkin mixed FEMKGZ equations\(Q_{11}/Q_{10} \times Q_{01}\)
PDEs in connection with fluid mechanics (35Q35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Hydro- and aero-acoustics (76Q05) 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) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Integro-partial differential equations (35R09)
Cites Work
- Unnamed Item
- The solitary wave solution of coupled Klein-Gordon-Zakharov equations via two different numerical methods
- High accuracy analysis of a new nonconforming mixed finite element scheme for Sobolev equations
- Superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for Sobolev equations
- 1-soliton solution of the Klein-Gordon-Zakharov equation with power law nonlinearity
- Well-posedness in energy space for the Cauchy problem of the Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions
- Galerkin finite element methods for the generalized Klein-Gordon-Zakharov equations
- A uniformly accurate multiscale time integrator spectral method for the Klein-Gordon-Zakharov system in the high-plasma-frequency limit regime
- Superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for nonlinear BBM equation
- Numerical solutions of coupled Klein-Gordon-Zakharov equations by quintic B-spline differential quadrature method
- New elliptic projections and a priori error estimates of \(H^1\)-Galerkin mixed finite element methods for optimal control problems governed by parabolic integro-differential equations
- Numerical simulation for solitary wave of Klein-Gordon-Zakharov equation based on the lattice Boltzmann model
- An \(H^1\)-Galerkin mixed finite element method for identification of time dependent parameters in parabolic problems
- Conservative difference methods for the Klein-Gordon-Zakharov equations
- On error estimates of an exponential wave integrator sine pseudospectral method for the Klein-Gordon-Zakharov system
- Orbital stability of solitary waves of the coupled Klein-Gordon-Zakharov equations
- AnH1-Galerkin Mixed Finite Element Method for Parabolic Partial Differential Equations
- Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation
- Global existence of small amplitude solutions for the Klein-Gordon-Zakharov equations
- Global smooth solution for the Klein–Gordon–Zakharov equations
- An Exponential Wave Integrator Sine Pseudospectral Method for the Klein--Gordon--Zakharov System
- Error analysis of finite element method for Poisson-Nernst-Planck equations
This page was built for publication: Superconvergence analysis of an \(H^1\)-Galerkin mixed FEM for Klein-Gordon-Zakharov equations with power law nonlinearity