An Evolving Surface Finite Element Method for the Numerical Solution of Diffusion Induced Grain Boundary Motion

V. Styles ()
Additional contact information
V. Styles: University of Sussex

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 469-477 from Springer

Abstract: Abstract We apply an evolving surface finite element method (ESFEM) to a mathematical model for diffusion induced grain boundary motion. The model involves the coupling of a diffusion equation on a moving surface to an equation for the motion of the surface. We formulate a finite element approximation of the model which involves triangulated surfaces whose vertices move in time. We present numerical simulations.

Keywords: Travel Wave Solution; Free Boundary Problem; Boundary Motion; Finite Element Approximation; Phase Field Model (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_50

Ordering information: This item can be ordered from
http://www.springer.com/9783642331343

DOI: 10.1007/978-3-642-33134-3_50

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().