Titelaufnahme

Titel
The Immersed Interface Technique for Parabolic Problems with Mixed Boundary Conditions
Verfasser/ VerfasserinBouchon, François ; Peichl, Gunther H.
Erschienen in
SIAM Journal on Numerical Analysis, 2010, Jg. 48, H. 6, S. 2247-2266
Erschienen2010
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)finite differences / immersed interface / mixed boundary value problem
ISSN0036-1429
URNurn:nbn:at:at-ubg:3-4201 Persistent Identifier (URN)
DOI10.1137/09075384X 
Zugriffsbeschränkung
 Das Werk ist frei verfügbar
Dateien
The Immersed Interface Technique for Parabolic Problems with Mixed Boundary Conditions [0.25 mb]
Links
Nachweis
Klassifikation
Zusammenfassung (Englisch)

A finite difference scheme is presented for a parabolic problem with mixed boundary conditions. We use an immersed interface technique to discretize the Neumann condition, and we use the ShortleyWeller approximation for the Dirichlet condition. The proof of a discrete maximum principle is given as well as the proof of convergence of the scheme. This convergence is also validated on numerical examples.

Notiz