Work

Error analysis for an ALE evolving surface finite element method

Year: 2014

Type: preprint

Abstract: We consider an arbitrary-Lagrangian-Eulerian evolving surface finite element method for the numerical approximation of advection and diffusion of a conserved scalar quantity on a moving surface. We describe the method, prove optimal order error bounds and present numerical simulations that agree with the theoretical results.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1403.1402

Authors: Elliott, Charles M., Venkataraman, Chandrasekhar

Institutions: University of Warwick, University of Sussex

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Engineering and Physical Sciences Research Council

Awards: G570629271, Modelling, analysis and simulation of spatial patterning on evolving surfaces, G8638165458

OpenAlex ID: W2952846326

Cites: 10

Cited by:

Related to: 20