Error estimates of high-order difference schemes for elliptic equations with intersecting interfaces

TitleError estimates of high-order difference schemes for elliptic equations with intersecting interfaces
Publication TypeJournal Article
Year of Publication2009
AuthorsAngelova I
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume99
KeywordsCompact stencils, Discrete Sobolev norms, Elliptic problems, Error estimates, High-order finite difference schemes, Intersected interfaces
Abstract

In the work \cite{Ang} high-order difference schemes (numerical experiments show second and fourth order of convergence) were derived, but with 1-st and 3-d order local truncation error, respectively, compact difference schemes for elliptic equations with intersecting interfaces. Here, for these difference schemes, we provide error estimates in discrete Sobolev norms.

2000 MSC

Primary F35A, secondary 60H5

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