Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642485 | Journal of Computational and Applied Mathematics | 2007 | 9 Pages |
Abstract
Global error bounds are derived for full Galerkin/Runge–Kutta discretizations of nonlinear parabolic problems, including the evolution governed by the p -Laplacian with p⩾2p⩾2. The analysis presented here is not based on linearization procedures, but on the fully nonlinear framework of logarithmic Lipschitz constants and an extended B -convergence theory. The global error is bounded in L2L2 by Δxr/2+ΔtqΔxr/2+Δtq, where r is the convergence order of the Galerkin method applied to the underlying stationary problem and q is the stiff order of the algebraically stable Runge–Kutta method.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Eskil Hansen,