Lifting solutions of quasilinear convection-dominated problems
DOI10.1080/00207160802385800zbMath1197.65091OpenAlexW2013122295MaRDI QIDQ5747697
Paula De Oliveira, Ana Paula Mouro, José Augusto Ferreira
Publication date: 14 September 2010
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10316/11146
convergencefinite difference methodnumerical simulationsnon-uniform meshessteady-state solutionconvection-dominated problemlayer(s) locationquasilinear convection-diffusion-reaction equations
Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonstandard Eulerian-Lagrangian methods for multi-dimensional reactive transport problems
- Error estimates for finite volume element methods for convection--diffusion--reaction equations
- A linearization of a backward Euler scheme for a class of degenerate nonlinear advection-diffusion equations
- Finite element analysis of convection dominated reaction--diffusion problems.
- Exact analytical solutions for nonlinear reaction-diffusion equations
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- On a set of singularly perturbed convection--diffusion equations
- Spectral collocation method for the solution of the generalized Burgers-Fisher equation
- On an upwind difference scheme for strongly degenerate parabolic equations modelling the settling of suspensions in centrifuges and non-cylindrical vessels
- Sufficient conditions for uniform convergence on layer-adapted meshes for one-dimensional reaction-diffusion problems
- A class of singularly perturbed semilinear differential equations with interior layers
- Sharp 𝐿¹ a posteriori error analysis for nonlinear convection-diffusion problems
- A summary of numerical methods for time-dependent advection-dominated partial differential equations
This page was built for publication: Lifting solutions of quasilinear convection-dominated problems