Matches in SemOpenAlex for { <https://semopenalex.org/work/W4297922335> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W4297922335 abstract "A computational scheme for solving 2D Laplace boundary-value problems using rational functions as the basis functions is described. The scheme belongs to the class of desingularized methods, for which the location of singularities and testing points is a major issue that is addressed by the proposed scheme, in the context of the 2D Laplace equation. Well-established rational-function fitting techniques are used to set the poles, while residues are determined by enforcing the boundary conditions in the least-squares sense at the nodes of rational Gauss-Chebyshev quadrature rules. Numerical results show that errors approaching the machine epsilon can be obtained for sharp and almost sharp corners, nearly-touching boundaries, and almost-singular boundary data. We show various examples of these cases in which the method yields compact solutions, requiring fewer basis functions than the Nystr{o}m method, for the same accuracy. A scheme for solving fairly large-scale problems is also presented." @default.
- W4297922335 created "2022-10-01" @default.
- W4297922335 creator A5039019422 @default.
- W4297922335 creator A5065484345 @default.
- W4297922335 creator A5071621222 @default.
- W4297922335 date "2011-12-07" @default.
- W4297922335 modified "2023-09-23" @default.
- W4297922335 title "On the use of rational-function fitting methods for the solution of 2D Laplace boundary-value problems" @default.
- W4297922335 doi "https://doi.org/10.48550/arxiv.1112.1643" @default.
- W4297922335 hasPublicationYear "2011" @default.
- W4297922335 type Work @default.
- W4297922335 citedByCount "0" @default.
- W4297922335 crossrefType "posted-content" @default.
- W4297922335 hasAuthorship W4297922335A5039019422 @default.
- W4297922335 hasAuthorship W4297922335A5065484345 @default.
- W4297922335 hasAuthorship W4297922335A5071621222 @default.
- W4297922335 hasBestOaLocation W42979223351 @default.
- W4297922335 hasConcept C105795698 @default.
- W4297922335 hasConcept C119599485 @default.
- W4297922335 hasConcept C127413603 @default.
- W4297922335 hasConcept C12843 @default.
- W4297922335 hasConcept C134306372 @default.
- W4297922335 hasConcept C14036430 @default.
- W4297922335 hasConcept C151730666 @default.
- W4297922335 hasConcept C182310444 @default.
- W4297922335 hasConcept C184389593 @default.
- W4297922335 hasConcept C2779343474 @default.
- W4297922335 hasConcept C28826006 @default.
- W4297922335 hasConcept C33923547 @default.
- W4297922335 hasConcept C5917680 @default.
- W4297922335 hasConcept C62354387 @default.
- W4297922335 hasConcept C62869609 @default.
- W4297922335 hasConcept C70615421 @default.
- W4297922335 hasConcept C75190567 @default.
- W4297922335 hasConcept C77618280 @default.
- W4297922335 hasConcept C78458016 @default.
- W4297922335 hasConcept C86803240 @default.
- W4297922335 hasConcept C97937538 @default.
- W4297922335 hasConceptScore W4297922335C105795698 @default.
- W4297922335 hasConceptScore W4297922335C119599485 @default.
- W4297922335 hasConceptScore W4297922335C127413603 @default.
- W4297922335 hasConceptScore W4297922335C12843 @default.
- W4297922335 hasConceptScore W4297922335C134306372 @default.
- W4297922335 hasConceptScore W4297922335C14036430 @default.
- W4297922335 hasConceptScore W4297922335C151730666 @default.
- W4297922335 hasConceptScore W4297922335C182310444 @default.
- W4297922335 hasConceptScore W4297922335C184389593 @default.
- W4297922335 hasConceptScore W4297922335C2779343474 @default.
- W4297922335 hasConceptScore W4297922335C28826006 @default.
- W4297922335 hasConceptScore W4297922335C33923547 @default.
- W4297922335 hasConceptScore W4297922335C5917680 @default.
- W4297922335 hasConceptScore W4297922335C62354387 @default.
- W4297922335 hasConceptScore W4297922335C62869609 @default.
- W4297922335 hasConceptScore W4297922335C70615421 @default.
- W4297922335 hasConceptScore W4297922335C75190567 @default.
- W4297922335 hasConceptScore W4297922335C77618280 @default.
- W4297922335 hasConceptScore W4297922335C78458016 @default.
- W4297922335 hasConceptScore W4297922335C86803240 @default.
- W4297922335 hasConceptScore W4297922335C97937538 @default.
- W4297922335 hasLocation W42979223351 @default.
- W4297922335 hasLocation W42979223352 @default.
- W4297922335 hasOpenAccess W4297922335 @default.
- W4297922335 hasPrimaryLocation W42979223351 @default.
- W4297922335 hasRelatedWork W1977653808 @default.
- W4297922335 hasRelatedWork W1984523942 @default.
- W4297922335 hasRelatedWork W2094494724 @default.
- W4297922335 hasRelatedWork W2562766878 @default.
- W4297922335 hasRelatedWork W2949294639 @default.
- W4297922335 hasRelatedWork W3092025449 @default.
- W4297922335 hasRelatedWork W3105596684 @default.
- W4297922335 hasRelatedWork W4287643753 @default.
- W4297922335 hasRelatedWork W4297922335 @default.
- W4297922335 hasRelatedWork W2091700300 @default.
- W4297922335 isParatext "false" @default.
- W4297922335 isRetracted "false" @default.
- W4297922335 workType "article" @default.