Superconvergence analysis for nonlinear viscoelastic wave equation with strong damping
DOI10.1080/00036811.2022.2078715zbMath1520.65068OpenAlexW4280596078MaRDI QIDQ6079813
Publication date: 29 September 2023
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2022.2078715
nonlinear viscoelastic wave equationbilinear finite elementunconditional superconvergence resultssecond-order fully discrete scheme
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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Cites Work
- Unnamed Item
- Blow up in a nonlinear viscoelastic wave equation with strong damping
- Optimal error analysis of Galerkin FEMs for nonlinear Joule heating equations
- A new error analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation
- Unconditional superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{rot}\) nonconforming finite element
- Application of the collocation method with B-splines to the GEW equation
- Unconditional superconvergence analysis of a linearized Galerkin FEM for nonlinear hyperbolic equations
- Solitary-wave solutions of the GRLW equation using septic B-spline collocation method
- Unconditional superconvergence analysis of conforming finite element for nonlinear parabolic equation
- Unconditional superconvergence analysis for nonlinear hyperbolic equation with nonconforming finite element
- Superconvergence analysis of an energy stable scheme for nonlinear reaction-diffusion equation with BDF mixed FEM
- Superconvergence analysis of a MFEM for BBM equation with a stable scheme
- Galerkin finite element solution for Benjamin-Bona-Mahony-Burgers equation with cubic B-splines
- Two-grid economical algorithms for parabolic integro-differential equations with nonlinear memory
- Superconvergence analysis of anisotropic linear triangular finite element for nonlinear Schrödinger equation
- Unconditional superconvergence analysis of a Crank-Nicolson Galerkin FEM for nonlinear Schrödinger equation
- Existence and uniform decay for a non-linear viscoelastic equation with strong damping
- Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations
- Finite Element Methods for Integrodifferential Equations
- Unconditional superconvergence analysis of a linearized Galerkin FEM for nonlinear Schrödinger equation
- Unconditional superconvergence analysis of an H1‐galerkin mixed finite element method for nonlinear Sobolev equations
- Superconvergence analysis of nonconforming EQ1rot element for nonlinear parabolic integro‐differential equation
- Unconditional superconvergent analysis of a new mixed finite element method for Ginzburg–Landau equation
- Superconvergence analysis for a nonlinear parabolic equation with a BDF finite element method
- Superconvergence analysis for nonlinear reaction‐diffusion equation with BDF‐FEM
- Nonconforming quadrilateral finite element method for nonlinear Kirchhoff‐type equation with damping
- Unconditional Superconvergence Analysis of an H<sup>1</sup>-Galerkin Mixed Finite Element Method for Two-Dimensional Ginzburg-Landau Equation
- Numerical approximation of the generalized regularized long wave equation using Petrov–Galerkin finite element method
- Superconvergence analysis of a linearized three‐step backward differential formula finite element method for nonlinear Sobolev equation
- Superconvergence analysis of a nonconforming MFEM for nonlinear Schrödinger equation
- Global existence and uniform decay for a nonlinear viscoelastic equation with damping
- General decay of energy for a viscoelastic equation with nonlinear damping
This page was built for publication: Superconvergence analysis for nonlinear viscoelastic wave equation with strong damping