Nonlinear systems of parabolic IBVP: a super-supraconvergent fully discrete piecewise linear FEM (Preprint)
| <Reference List> | |
| Type: | Preprint |
| National /International: | International |
| Title: | Nonlinear systems of parabolic IBVP: a super-supraconvergent fully discrete piecewise linear FEM |
| Publication Date: | 2020-04-13 |
| Authors: |
- Sara Joana Rodrigues de Carvalho
- José Augusto Ferreira - Gonçalo Pena |
| Abstract: | The main objective of this paper is the design and convergence analysis of discretizations of second order nonlinear parabolic initial boundary value problems with second order of convergence with respect to H1-discrete norms. The results are established assuming that the solutions are in H2. As the methods can be simultaneously seen as piecewise linear finite element methods and finite difference methods, the convergence results can be seen simultaneously as supraconvergence results and superconvergence results. Numerical results illustrating the sharpness of the smoothness assumptions are also included. |
| Institution: | DMUC 20-13 |
| Online version: | http://www.mat.uc.pt...prints/eng_2020.html |
| Download: | Not available |
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