Kyza, Irene; Metcalfe, Stephen Arthur; Wihler, Thomas (2018). hp-Adaptive Galerkin Time Stepping Methods for Nonlinear Initial Value Problems. Journal of scientific computing, 75(1), pp. 111-127. Springer 10.1007/s10915-017-0565-x
|
Text
10.1007%2Fs10915-017-0565-x.pdf - Published Version Available under License Creative Commons: Attribution (CC-BY). Download (657kB) | Preview |
This work is concerned with the derivation of an a posteriori error estimator for Galerkin approximations to nonlinear initial value problems with an emphasis on finite-time existence in the context of blow-up. The structure of the derived estimator leads naturally to the development of both h and hp versions of an adaptive algorithm designed to approximate the blow-up time. The adaptive algorithms are then applied in a series of numerical experiments, and the rate of convergence to the blow-up time is investigated.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Metcalfe, Stephen Arthur, Wihler, Thomas |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0885-7474 |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
17 Apr 2018 08:52 |
Last Modified: |
05 Dec 2022 15:09 |
Publisher DOI: |
10.1007/s10915-017-0565-x |
BORIS DOI: |
10.7892/boris.109185 |
URI: |
https://boris.unibe.ch/id/eprint/109185 |
Actions (login required)
 |
Edit item |