Matches in SemOpenAlex for { <https://semopenalex.org/work/W1549556037> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W1549556037 abstract "We present an efficient integral equation approach to solve the heat equation, ut(x) − �u(x) = F(x;t), in a two-dimensional, multiply connected domain, and with Dirichlet boundary conditions. Instead of using integral equations based on the heat kernel, we take the approach of discretizing in time, first. This leads to a non-homogeneous modified Helmholtz equation that is solved at each time step. The solution to this equation is formulated as a volume potential plus a double layer potential. The volume potential is evaluated using a fast multipole-accelerated solver. The boundary conditions are then satisfied by solving an integral equation for the homogeneous modified Helmholtz equation. The integral equation solver is also accelerated by the fast multipole method (FMM). For a total of N points in the discretization of the boundary and the domain, the total computational cost per time step is O(N) or O(N logN)." @default.
- W1549556037 created "2016-06-24" @default.
- W1549556037 creator A5046140903 @default.
- W1549556037 date "2010-07-29" @default.
- W1549556037 modified "2023-09-27" @default.
- W1549556037 title "Fast integral equation methods for the heat equation and the modified Helmholtz equation in two dimensions" @default.
- W1549556037 cites W1977737756 @default.
- W1549556037 cites W1981474196 @default.
- W1549556037 cites W1991574341 @default.
- W1549556037 cites W1998301011 @default.
- W1549556037 cites W2013776667 @default.
- W1549556037 cites W2040765709 @default.
- W1549556037 cites W2051787855 @default.
- W1549556037 cites W2054420328 @default.
- W1549556037 cites W2074326410 @default.
- W1549556037 cites W2083206954 @default.
- W1549556037 cites W2084831289 @default.
- W1549556037 cites W2085294580 @default.
- W1549556037 cites W2120062331 @default.
- W1549556037 cites W2132820941 @default.
- W1549556037 cites W2140153041 @default.
- W1549556037 cites W2169437869 @default.
- W1549556037 hasPublicationYear "2010" @default.
- W1549556037 type Work @default.
- W1549556037 sameAs 1549556037 @default.
- W1549556037 citedByCount "0" @default.
- W1549556037 crossrefType "posted-content" @default.
- W1549556037 hasAuthorship W1549556037A5046140903 @default.
- W1549556037 hasConcept C110167270 @default.
- W1549556037 hasConcept C121332964 @default.
- W1549556037 hasConcept C126255220 @default.
- W1549556037 hasConcept C134306372 @default.
- W1549556037 hasConcept C135115559 @default.
- W1549556037 hasConcept C143591791 @default.
- W1549556037 hasConcept C182310444 @default.
- W1549556037 hasConcept C18591234 @default.
- W1549556037 hasConcept C202787564 @default.
- W1549556037 hasConcept C27016315 @default.
- W1549556037 hasConcept C2778770139 @default.
- W1549556037 hasConcept C33923547 @default.
- W1549556037 hasConcept C3537527 @default.
- W1549556037 hasConcept C45473103 @default.
- W1549556037 hasConcept C51577431 @default.
- W1549556037 hasConcept C52765159 @default.
- W1549556037 hasConcept C62520636 @default.
- W1549556037 hasConcept C70615421 @default.
- W1549556037 hasConcept C70985411 @default.
- W1549556037 hasConcept C73000952 @default.
- W1549556037 hasConcept C93779851 @default.
- W1549556037 hasConceptScore W1549556037C110167270 @default.
- W1549556037 hasConceptScore W1549556037C121332964 @default.
- W1549556037 hasConceptScore W1549556037C126255220 @default.
- W1549556037 hasConceptScore W1549556037C134306372 @default.
- W1549556037 hasConceptScore W1549556037C135115559 @default.
- W1549556037 hasConceptScore W1549556037C143591791 @default.
- W1549556037 hasConceptScore W1549556037C182310444 @default.
- W1549556037 hasConceptScore W1549556037C18591234 @default.
- W1549556037 hasConceptScore W1549556037C202787564 @default.
- W1549556037 hasConceptScore W1549556037C27016315 @default.
- W1549556037 hasConceptScore W1549556037C2778770139 @default.
- W1549556037 hasConceptScore W1549556037C33923547 @default.
- W1549556037 hasConceptScore W1549556037C3537527 @default.
- W1549556037 hasConceptScore W1549556037C45473103 @default.
- W1549556037 hasConceptScore W1549556037C51577431 @default.
- W1549556037 hasConceptScore W1549556037C52765159 @default.
- W1549556037 hasConceptScore W1549556037C62520636 @default.
- W1549556037 hasConceptScore W1549556037C70615421 @default.
- W1549556037 hasConceptScore W1549556037C70985411 @default.
- W1549556037 hasConceptScore W1549556037C73000952 @default.
- W1549556037 hasConceptScore W1549556037C93779851 @default.
- W1549556037 hasLocation W15495560371 @default.
- W1549556037 hasOpenAccess W1549556037 @default.
- W1549556037 hasPrimaryLocation W15495560371 @default.
- W1549556037 hasRelatedWork W1035871451 @default.
- W1549556037 hasRelatedWork W149807006 @default.
- W1549556037 hasRelatedWork W170609197 @default.
- W1549556037 hasRelatedWork W1968946278 @default.
- W1549556037 hasRelatedWork W1978203425 @default.
- W1549556037 hasRelatedWork W2011451342 @default.
- W1549556037 hasRelatedWork W2016495159 @default.
- W1549556037 hasRelatedWork W2030936133 @default.
- W1549556037 hasRelatedWork W2054782886 @default.
- W1549556037 hasRelatedWork W2057754884 @default.
- W1549556037 hasRelatedWork W2070675136 @default.
- W1549556037 hasRelatedWork W2077212921 @default.
- W1549556037 hasRelatedWork W2081665658 @default.
- W1549556037 hasRelatedWork W2103809925 @default.
- W1549556037 hasRelatedWork W2111470998 @default.
- W1549556037 hasRelatedWork W2378900302 @default.
- W1549556037 hasRelatedWork W2403825043 @default.
- W1549556037 hasRelatedWork W283781548 @default.
- W1549556037 hasRelatedWork W2887898300 @default.
- W1549556037 hasRelatedWork W3119155923 @default.
- W1549556037 isParatext "false" @default.
- W1549556037 isRetracted "false" @default.
- W1549556037 magId "1549556037" @default.
- W1549556037 workType "article" @default.