Backward difference time discretization of parabolic differential equations on evolving surfaces

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

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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: 07 Mar 2017 11:06
URI: http://sro.sussex.ac.uk/id/eprint/45601

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