FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1790913160> ?p ?o ?g. }

• W1790913160 abstract "We propose a pure source transfer domain decomposition method (PSTDDM) for solving the truncated perfectly matched layer (PML) approximation in bounded domain of Helmholtz scattering problem. The method is a modification of the STDDM proposed by [Z. Chen and X. Xiang, SIAM J. Numer. Anal., 51 (2013), pp. 2331--2356]. After decomposing the domain into $N$ non-overlapping layers, the STDDM is composed of two series steps of sources transfers and wave expansions, where $N-1$ truncated PML problems on two adjacent layers and $N-2$ truncated half-space PML problems are solved successively. While the PSTDDM consists merely of two parallel source transfer steps in two opposite directions, and in each step $N-1$ truncated PML problems on two adjacent layers are solved successively. One benefit of such a modification is that the truncated PML problems on two adjacent layers can be further solved by the PSTDDM along directions parallel to the layers. And therefore, we obtain a block-wise PSTDDM on the decomposition composed of $N^2$ squares, which reduces the size of subdomain problems and is more suitable for large-scale problems. Convergences of both the layer-wise PSTDDM and the block-wise PSTDDM are proved for the case of constant wave number. Numerical examples are included to show that the PSTDDM gives good approximations to the discrete Helmholtz equations with constant wave numbers and can be used as an efficient preconditioner in the preconditioned GMRES method for solving the discrete Helmholtz equations with constant and heterogeneous wave numbers." @default.
• W1790913160 created "2016-06-24" @default.
• W1790913160 creator A5031644308 @default.
• W1790913160 creator A5034214957 @default.
• W1790913160 date "2015-05-22" @default.
• W1790913160 modified "2023-10-18" @default.
• W1790913160 title "A pure source transfer domain decomposition method for Helmholtz equations in unbounded domain" @default.
• W1790913160 cites W1590517989 @default.
• W1790913160 cites W1678850202 @default.
• W1790913160 cites W175176216 @default.
• W1790913160 cites W1969524319 @default.
• W1790913160 cites W1976538983 @default.
• W1790913160 cites W1981363834 @default.
• W1790913160 cites W1987152170 @default.
• W1790913160 cites W1994751539 @default.
• W1790913160 cites W2001019613 @default.
• W1790913160 cites W2003017040 @default.
• W1790913160 cites W2003349146 @default.
• W1790913160 cites W2003894508 @default.
• W1790913160 cites W2004475615 @default.
• W1790913160 cites W2019681354 @default.
• W1790913160 cites W2021615646 @default.
• W1790913160 cites W2024381649 @default.
• W1790913160 cites W2025124289 @default.
• W1790913160 cites W2026170640 @default.
• W1790913160 cites W2029342920 @default.
• W1790913160 cites W2029966922 @default.
• W1790913160 cites W2034171425 @default.
• W1790913160 cites W2035238652 @default.
• W1790913160 cites W2047719014 @default.
• W1790913160 cites W2053149981 @default.
• W1790913160 cites W2080631773 @default.
• W1790913160 cites W2083246567 @default.
• W1790913160 cites W2084463157 @default.
• W1790913160 cites W2106567676 @default.
• W1790913160 cites W2115850109 @default.
• W1790913160 cites W2124628021 @default.
• W1790913160 cites W2127600768 @default.
• W1790913160 cites W2150892223 @default.
• W1790913160 cites W2156154693 @default.
• W1790913160 cites W2301757686 @default.
• W1790913160 cites W2398465244 @default.
• W1790913160 cites W2592456637 @default.
• W1790913160 cites W2963691989 @default.
• W1790913160 cites W3204708751 @default.
• W1790913160 cites W332057251 @default.
• W1790913160 doi "https://doi.org/10.48550/arxiv.1505.06052" @default.
• W1790913160 hasPublicationYear "2015" @default.
• W1790913160 type Work @default.
• W1790913160 sameAs 1790913160 @default.
• W1790913160 citedByCount "1" @default.
• W1790913160 countsByYear W17909131602015 @default.
• W1790913160 crossrefType "posted-content" @default.
• W1790913160 hasAuthorship W1790913160A5031644308 @default.
• W1790913160 hasAuthorship W1790913160A5034214957 @default.
• W1790913160 hasBestOaLocation W17909131601 @default.
• W1790913160 hasConcept C121332964 @default.
• W1790913160 hasConcept C134306372 @default.
• W1790913160 hasConcept C135628077 @default.
• W1790913160 hasConcept C143724316 @default.
• W1790913160 hasConcept C151730666 @default.
• W1790913160 hasConcept C155332342 @default.
• W1790913160 hasConcept C167431342 @default.
• W1790913160 hasConcept C16895185 @default.
• W1790913160 hasConcept C182310444 @default.
• W1790913160 hasConcept C18591234 @default.
• W1790913160 hasConcept C198880260 @default.
• W1790913160 hasConcept C199360897 @default.
• W1790913160 hasConcept C2524010 @default.
• W1790913160 hasConcept C27592594 @default.
• W1790913160 hasConcept C2777027219 @default.
• W1790913160 hasConcept C2777210771 @default.
• W1790913160 hasConcept C33923547 @default.
• W1790913160 hasConcept C34388435 @default.
• W1790913160 hasConcept C36503486 @default.
• W1790913160 hasConcept C41008148 @default.
• W1790913160 hasConcept C62520636 @default.
• W1790913160 hasConcept C6802819 @default.
• W1790913160 hasConcept C86803240 @default.
• W1790913160 hasConcept C97355855 @default.
• W1790913160 hasConceptScore W1790913160C121332964 @default.
• W1790913160 hasConceptScore W1790913160C134306372 @default.
• W1790913160 hasConceptScore W1790913160C135628077 @default.
• W1790913160 hasConceptScore W1790913160C143724316 @default.
• W1790913160 hasConceptScore W1790913160C151730666 @default.
• W1790913160 hasConceptScore W1790913160C155332342 @default.
• W1790913160 hasConceptScore W1790913160C167431342 @default.
• W1790913160 hasConceptScore W1790913160C16895185 @default.
• W1790913160 hasConceptScore W1790913160C182310444 @default.
• W1790913160 hasConceptScore W1790913160C18591234 @default.
• W1790913160 hasConceptScore W1790913160C198880260 @default.
• W1790913160 hasConceptScore W1790913160C199360897 @default.
• W1790913160 hasConceptScore W1790913160C2524010 @default.
• W1790913160 hasConceptScore W1790913160C27592594 @default.
• W1790913160 hasConceptScore W1790913160C2777027219 @default.
• W1790913160 hasConceptScore W1790913160C2777210771 @default.
• W1790913160 hasConceptScore W1790913160C33923547 @default.
• W1790913160 hasConceptScore W1790913160C34388435 @default.
• W1790913160 hasConceptScore W1790913160C36503486 @default.
• W1790913160 hasConceptScore W1790913160C41008148 @default.

• next