Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces
Numerical Analysis
2015-04-01 v1
Abstract
Convergence results are shown for full discretizations of quasilinear parabolic partial differential equations on evolving surfaces. As a semidiscretization in space the evolving surface finite element method is considered, using a regularity result of a generalized Ritz map, optimal order error estimates for the spatial discretization is shown. Combining this with the stability results for Runge--Kutta and BDF time integrators, we obtain convergence results for the fully discrete problems.
Cite
@article{arxiv.1503.08990,
title = {Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces},
author = {Balázs Kovács and Christian Andreas Power Guerra},
journal= {arXiv preprint arXiv:1503.08990},
year = {2015}
}
Comments
-. arXiv admin note: text overlap with arXiv:1410.0486