Matches in SemOpenAlex for { <https://semopenalex.org/work/W1893684366> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W1893684366 endingPage "115" @default.
- W1893684366 startingPage "115" @default.
- W1893684366 abstract "A number of problems in computational physics require the solution of the Helmholtz equation in domains where multiple media meet at a single point. Examples include acoustic and electromagnetic scattering from structures such as diffraction gratings and complex antennas. We present a robust integral equation method for the calculation of two-dimensional scattering problems in the presence of triple-points, that is problems involving multiple materials meeting at a single point. Our approach involves both the modification of a standard integral representation and the use of adaptive refinement at geometric singularities [1]. The GMRES iterative solver equipped with Fast Multipole Method (FMM) for the second kind integral equation is an optimal algorithm for a single right-hand-side in the sense that it is a linear-time-complexity algorithm with a reasonably small constant. However, a direct numerical method, which requires expensive matrix factorization O(N) but cheap inversion O(N logN), is more efficient algorithm for multiple right-hand-sides. Our fast direct solver is based on a the interpolative decomposition (ID) that is more useful and produces a near-optimal representation for multilevel compression of the linear system of equations [2]. We demonstrate the performance of the scheme with several numerical examples." @default.
- W1893684366 created "2016-06-24" @default.
- W1893684366 creator A5041950581 @default.
- W1893684366 date "2013-05-01" @default.
- W1893684366 modified "2023-09-26" @default.
- W1893684366 title "A FAST DIRECT SOLVER FOR QUASI-PERIODIC SCATTERING PROBLEMS IN TWO DIMENSIONS" @default.
- W1893684366 cites W1963745537 @default.
- W1893684366 cites W1969585432 @default.
- W1893684366 cites W1990081118 @default.
- W1893684366 cites W2124771807 @default.
- W1893684366 hasPublicationYear "2013" @default.
- W1893684366 type Work @default.
- W1893684366 sameAs 1893684366 @default.
- W1893684366 citedByCount "1" @default.
- W1893684366 countsByYear W18936843662013 @default.
- W1893684366 crossrefType "journal-article" @default.
- W1893684366 hasAuthorship W1893684366A5041950581 @default.
- W1893684366 hasConcept C11413529 @default.
- W1893684366 hasConcept C120665830 @default.
- W1893684366 hasConcept C121332964 @default.
- W1893684366 hasConcept C126255220 @default.
- W1893684366 hasConcept C134306372 @default.
- W1893684366 hasConcept C135115559 @default.
- W1893684366 hasConcept C155332342 @default.
- W1893684366 hasConcept C159694833 @default.
- W1893684366 hasConcept C182310444 @default.
- W1893684366 hasConcept C18591234 @default.
- W1893684366 hasConcept C191486275 @default.
- W1893684366 hasConcept C27016315 @default.
- W1893684366 hasConcept C27592594 @default.
- W1893684366 hasConcept C2778770139 @default.
- W1893684366 hasConcept C28826006 @default.
- W1893684366 hasConcept C33923547 @default.
- W1893684366 hasConcept C52765159 @default.
- W1893684366 hasConcept C62520636 @default.
- W1893684366 hasConceptScore W1893684366C11413529 @default.
- W1893684366 hasConceptScore W1893684366C120665830 @default.
- W1893684366 hasConceptScore W1893684366C121332964 @default.
- W1893684366 hasConceptScore W1893684366C126255220 @default.
- W1893684366 hasConceptScore W1893684366C134306372 @default.
- W1893684366 hasConceptScore W1893684366C135115559 @default.
- W1893684366 hasConceptScore W1893684366C155332342 @default.
- W1893684366 hasConceptScore W1893684366C159694833 @default.
- W1893684366 hasConceptScore W1893684366C182310444 @default.
- W1893684366 hasConceptScore W1893684366C18591234 @default.
- W1893684366 hasConceptScore W1893684366C191486275 @default.
- W1893684366 hasConceptScore W1893684366C27016315 @default.
- W1893684366 hasConceptScore W1893684366C27592594 @default.
- W1893684366 hasConceptScore W1893684366C2778770139 @default.
- W1893684366 hasConceptScore W1893684366C28826006 @default.
- W1893684366 hasConceptScore W1893684366C33923547 @default.
- W1893684366 hasConceptScore W1893684366C52765159 @default.
- W1893684366 hasConceptScore W1893684366C62520636 @default.
- W1893684366 hasIssue "1" @default.
- W1893684366 hasLocation W18936843661 @default.
- W1893684366 hasOpenAccess W1893684366 @default.
- W1893684366 hasPrimaryLocation W18936843661 @default.
- W1893684366 hasRelatedWork W1607829141 @default.
- W1893684366 hasRelatedWork W2266761891 @default.
- W1893684366 hasRelatedWork W2334142273 @default.
- W1893684366 hasRelatedWork W2521251068 @default.
- W1893684366 hasRelatedWork W588697808 @default.
- W1893684366 hasRelatedWork W599098024 @default.
- W1893684366 hasRelatedWork W604236468 @default.
- W1893684366 hasRelatedWork W609768968 @default.
- W1893684366 hasRelatedWork W628565845 @default.
- W1893684366 hasRelatedWork W641349311 @default.
- W1893684366 hasRelatedWork W649472937 @default.
- W1893684366 hasVolume "8" @default.
- W1893684366 isParatext "false" @default.
- W1893684366 isRetracted "false" @default.
- W1893684366 magId "1893684366" @default.
- W1893684366 workType "article" @default.