An analysis for the convergence order of gradient schemes for semilinear parabolic equations
- 1 September 2016
- journal article
- Published by Elsevier BV in Computers & Mathematics with Applications
- Vol. 72 (5), 1287-1304
- https://doi.org/10.1016/j.camwa.2016.06.031
Abstract
No abstract availableKeywords
This publication has 18 references indexed in Scilit:
- Gradient schemes: Generic tools for the numerical analysis of diffusion equationsESAIM: Mathematical Modelling and Numerical Analysis, 2016
- Numerical analysis and iteration acceleration of a fully implicit scheme for nonlinear diffusion problem with second‐order time evolutionNumerical Methods for Partial Differential Equations, 2015
- A full analysis of a new second order finite volume approximation based on a low-order scheme using general admissible spatial meshes for the unsteady one dimensional heat equationJournal of Mathematical Analysis and Applications, 2014
- GRADIENT SCHEMES: A GENERIC FRAMEWORK FOR THE DISCRETISATION OF LINEAR, NONLINEAR AND NONLOCAL ELLIPTIC AND PARABOLIC EQUATIONSMathematical Models and Methods in Applied Sciences, 2013
- Some abstract error estimates of a finite volume scheme for a nonstationary heat equation on general nonconforming multidimensional spatial meshesApplications of Mathematics, 2013
- Small-stencil 3D schemes for diffusive flows in porous mediaESAIM: Mathematical Modelling and Numerical Analysis, 2011
- Error estimates of the discretization of linear parabolic equations on general nonconforming spatial gridsComptes Rendus Mathematique, 2010
- Convergence of fractional step mimetic finite difference discretizations for semilinear parabolic problemsApplied Numerical Mathematics, 2010
- Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfacesIMA Journal of Numerical Analysis, 2009
- Postprocessing of a finite volume element method for semilinear parabolic problemsESAIM: Mathematical Modelling and Numerical Analysis, 2009