Title | Error estimates of high-order difference schemes for elliptic equations with intersecting interfaces |
Publication Type | Journal Article |
Year of Publication | 2009 |
Authors | Angelova I |
Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
Volume | 99 |
Keywords | Compact 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 |
Attachment | Size |
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99-085-109.pdf | 1.73 MB |