Lubich, Christian, Mansour, Dhia and Venkataraman, Chandrasekhar (2013) Backward difference time discretization of parabolic differential equations on evolving surfaces. IMA Journal of Numerical Analysis, 33 (4). pp. 1365-1385. ISSN 0272-4979
![]()
|
PDF
- Accepted Version
Download (839kB) | Preview |
Abstract
A linear parabolic differential equation on a moving surface is discretized in space by evolving surface finite elements and in time by backward difference formulas (BDF). Using results from Dahlquist's G-stability theory and Nevanlinna & Odeh's multiplier technique together with properties of the spatial semi-discretization, stability of the full discretization is proven for the BDF methods up to order 5 and optimal-order convergence is shown. Numerical experiments illustrate the behaviour of the fully discrete method.
Item Type: | Article |
---|---|
Schools and Departments: | School of Mathematical and Physical Sciences > Mathematics |
Subjects: | Q Science > QA Mathematics > QA0297 Numerical analysis |
Depositing User: | Chandrasekhar Venkataraman |
Date Deposited: | 08 Jul 2013 11:17 |
Last Modified: | 03 Jul 2019 00:06 |
URI: | http://sro.sussex.ac.uk/id/eprint/45601 |
View download statistics for this item
📧 Request an update