Discontinuous Galerkin finite element methods for one-dimensional Rosenau equation
From MaRDI portal
Publication:2093845
DOI10.1007/s41478-022-00406-0zbMath1497.65169arXiv1911.12795OpenAlexW4220926417MaRDI QIDQ2093845
Publication date: 27 October 2022
Published in: The Journal of Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.12795
optimal error estimatesdecay estimatesdiscontinuous Galerkin finite element methodsRosenau equationsemidiscrete methodcompletely discrete method
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)
Cites Work
- Galerkin finite element method for the Rosenau-RLW equation
- On the convergence of conservative difference schemes for the 2D generalized Rosenau-Korteweg de Vries equation
- A discontinuous Galerkin method for the Rosenau equation
- A new conservative finite difference scheme for the Rosenau equation
- Numerical scheme for a model of shallow water waves in \((2 + 1)\)-dimensions
- Two conservative difference schemes for the generalized Rosenau equation
- Mixed finite element methods for a fourth order reaction diffusion equation
- A new error analysis for discontinuous finite element methods for linear elliptic problems
- A new conservative high-order accurate difference scheme for the Rosenau equation
- Finite Difference Approximate Solutions for
- A second-order splitting combined with orthogonal cubic spline collocation method for the Rosenau equation
- On the Rosenau equation in multidimensional space
- Numerical methods for the rosenau equation
- A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems
- New conservative difference schemes with fourth‐order accuracy for some model equation for nonlinear dispersive waves
- A new conservative fourth‐order accurate difference scheme for solving a model of nonlinear dispersive equations
- Finite element galerkin solutions for the rosenau equation
- A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
- An efficient numerical simulation of nonlinear‐dispersive model of shallow water wave