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:	03 Jul 2019 00:06
URI:	http://sro.sussex.ac.uk/id/eprint/45601

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