Finite difference schemes for the parabolic p-Laplace equation
EntityUAM. Departamento de Matemáticas
10.1007/s40324-022-00316-ySeMA Journal (2022): 1-21
ISSN2254-3902 (print); 2281-7875 (online)
Funded byOpen Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature
SubjectsExplicit scheme; Finite differences; Mean value property; p-Laplacian; Viscosity solutions; Matemáticas
Rights© The Author(s) 2022
Esta obra está bajo una Licencia Creative Commons Atribución 4.0 Internacional.
We propose a new finite difference scheme for the degenerate parabolic equation ∂tu-div(|∇u|p-2∇u)=f,p≥2.Under the assumption that the data is Hölder continuous, we establish the convergence of the explicit-in-time scheme for the Cauchy problem provided a suitable stability type CFL-condition. An important advantage of our approach, is that the CFL-condition makes use of the regularity provided by the scheme to reduce the computational cost. In particular, for Lipschitz data, the CFL-condition is of the same order as for the heat equation and independent of p
Files in this item
Google Scholar:del Teso, Félix - Lindgren, Erik
This item appears in the following Collection(s)
Showing items related by title, author, creator and subject.
Nonlinear elliptic and parabolic equations related to reaction, diffusion and growth problems
Memory efficient finite volume schemes with twisted boundary conditions
Error analysis of proper orthogonal decomposition data assimilation schemes with grad–div estabilization for the Navier–Stokes equations