An Immersed Interface Technique for the Numerical Solution of the Heat Equation on a Moving Domain

François Bouchon () and Gunther H. Peichl ()
Additional contact information
François Bouchon: Université Blaise-Pascal (Clermont-Ferrand 2), Laboratoire de Mathématiques, UMR CNRS 6620
Gunther H. Peichl: Karl-Franzens-University Graz, Institute for Mathematics and Scientific Computing

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 181-189 from Springer

Abstract: Abstract A finite difference scheme for the heat equation with mixed boundary conditions on a moving domain is presented. We use an immersed interface technique to discretize the Neumann condition and the Shortley–Weller approximation for the Dirichlet condition. Monotonicity of the discretized parabolic operator is established. Numerical results illustrate the feasibility of the approach.

Keywords: Heat Equation; Neumann Boundary; Parabolic Problem; Order Convergence; Dirichlet Condition (search for similar items in EconPapers)
Date: 2010
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:978-3-642-11795-4_18

Ordering information: This item can be ordered from
http://www.springer.com/9783642117954

DOI: 10.1007/978-3-642-11795-4_18

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 ().