An adaptive moving mesh finite element solution of the regularized long wave equation
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Publication:1703053
DOI10.1007/s10915-017-0427-6zbMath1383.65125arXiv1606.06541OpenAlexW2471562767MaRDI QIDQ1703053
Jianxian Qiu, Weizhang Huang, Changna Lu
Publication date: 1 March 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.06541
convergencefinite element methodnumerical examplessolitary waveRLW equationregularized long wave equationmoving meshadaptation
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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Higher-order nonlinear hyperbolic equations (35L75)
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The cubic B-spline least-squares finite-element method for the numerical solutions of regularized long-wave equation ⋮ Arbitrary high-order linear structure-preserving schemes for the regularized long-wave equation ⋮ Moving mesh strategies of adaptive methods for solving nonlinear partial differential equations ⋮ Finite element method of BBM-Burgers equation with dissipative term based on adaptive moving mesh ⋮ Approximate solution of MRLW equation in B-spline environment ⋮ Superconvergence analysis of a mixed finite element approximation for the nonlinear fourth-order rosenau-RLW equation ⋮ Numerical investigation of heat conduction with multiple moving heat sources
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Cites Work
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- Mixed Galerkin finite element methods for modified regularized long wave equation
- Explicit multistep method for the numerical solution of RLW equation
- Numerical solutions of RLW equation using Galerkin method with extrapolation techniques
- Adaptive moving mesh methods
- Local discontinuous Galerkin finite element method and error estimates for one class of Sobolev equation
- Application of cubic B-splines for numerical solution of the RLW equation
- Numerical study of the regularized long-wave equation. I: Numerical methods
- Numerical study of the regularized long-wave equation. II: Interaction of solitary waves
- Weak solutions for a nonlinear dispersive equation
- Moving mesh methods based on moving mesh partial differential equations
- Numerical solution of RLW equation using linear finite elements within Galerkin's method
- ZK-Burgers equation for three-dimensional Rossby solitary waves and its solutions as well as chirp effect
- The Fourier pseudospectral method with a restrain operator for the RLW equation
- Variational mesh adaptation. II: Error estimates and monitor functions
- On the two-dimensional regularized long-wave equation in fluids and plasmas
- The solitary wave solution of the two-dimensional regularized long-wave equation in fluids and plasmas
- A geometric discretization and a simple implementation for variational mesh generation and adaptation
- A meshfree method for the numerical solution of the RLW equation
- Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
- How a Nonconvergent Recovered Hessian Works in Mesh Adaptation
- The Buckley–Leverett Equation with Dynamic Capillary Pressure
- Numerical study using explicit multistep <scp>G</scp>alerkin finite element method for the <scp>MRLW</scp> equation
- Least-squares mixed finite element methods for the RLW equations
- Adaptivity with moving grids
- Global existence for the Benjamin-Bona-Mahony equation in arbitrary dimensions
- On the Benjamin-Bona-Mahony equation in higher dimensions
- An evaluation of a model equation for water waves
- Temporal Derivatives in the Finite-Element Method on Continuously Deforming Grids
- The equation A(t, u(t))′ + B(t, u(t)) = 0
- Euler operators and conservation laws of the BBM equation
- Mixed Finite Element Analysis and Numerical Solitary Solution for the RLW Equation
- Moving Mesh Partial Differential Equations (MMPDES) Based on the Equidistribution Principle
- Velocity-Based Moving Mesh Methods for Nonlinear Partial Differential Equations
- On the mesh nonsingularity of the moving mesh PDE method
- Two-step error estimators for implicit Runge--Kutta methods applied to stiff systems
- Model equations for long waves in nonlinear dispersive systems
- Existence and Representation Theorems for a Semilinear Sobolev Equation in Banach Space
- Stable and unstable solitary-wave solutions of the generalized regularized long-wave equation
- Solitary waves of the splitted RLW equation
- Variational mesh adaptation: Isotropy and equidistribution
