Matches in SemOpenAlex for { <https://semopenalex.org/work/W2884879103> ?p ?o ?g. }
- W2884879103 endingPage "762" @default.
- W2884879103 startingPage "750" @default.
- W2884879103 abstract "We recently developed a treecode-accelerated boundary integral (TABI) solver for solving Poisson–Boltzmann (PB) equation [1]. The solver has combined advantages in accuracy, efficiency, memory, and parallelization as it applies a well-posed boundary integral formulation to circumvent many numerical difficulties associated with the PB equation and uses an O(NlogN) treecode to accelerate the GMRES iterative solver. However, as observed in our previous work [2], occasionally when the mesh generator produces low quality triangles, the number of GMRES iterations required to solve the discretized boundary integral equations Ax=b could be large. To address this issue, we design a preconditioning scheme using preconditioner matrix M such that M−1A has much improved condition while M−1z can be rapidly computed for any vector z. In this scheme, the matrix M carries the interactions between boundary elements on the same leaf only in the tree structure thus is block diagonal with many computational advantages. The sizes of the blocks in M are conveniently controlled by the treecode parameter N0, the maximum number of particles per leaf. The numerical results show that this new preconditioning scheme improves the TABI solver with significantly reduced iteration numbers and better accuracy, particularly for protein sets on which TABI solver previously converges slowly. In addition, this preconditioning scheme potentially can improve the condition number of various multipole method accelerated boundary elements solvers in scattering, fluids, elasticity, etc." @default.
- W2884879103 created "2018-08-03" @default.
- W2884879103 creator A5084919405 @default.
- W2884879103 creator A5089262981 @default.
- W2884879103 date "2018-11-01" @default.
- W2884879103 modified "2023-10-16" @default.
- W2884879103 title "On preconditioning the treecode-accelerated boundary integral (TABI) Poisson–Boltzmann solver" @default.
- W2884879103 cites W1487420490 @default.
- W2884879103 cites W1539711125 @default.
- W2884879103 cites W1970036918 @default.
- W2884879103 cites W1973060079 @default.
- W2884879103 cites W1977949865 @default.
- W2884879103 cites W1978291408 @default.
- W2884879103 cites W1979971768 @default.
- W2884879103 cites W1982085334 @default.
- W2884879103 cites W1991574341 @default.
- W2884879103 cites W1994662101 @default.
- W2884879103 cites W1998416098 @default.
- W2884879103 cites W2003542620 @default.
- W2884879103 cites W2014383457 @default.
- W2884879103 cites W2017717418 @default.
- W2884879103 cites W2021534482 @default.
- W2884879103 cites W2022597857 @default.
- W2884879103 cites W2022879191 @default.
- W2884879103 cites W2026757984 @default.
- W2884879103 cites W2028031397 @default.
- W2884879103 cites W2029582401 @default.
- W2884879103 cites W2034780566 @default.
- W2884879103 cites W2036766784 @default.
- W2884879103 cites W2049704184 @default.
- W2884879103 cites W2050397044 @default.
- W2884879103 cites W2052978428 @default.
- W2884879103 cites W2056462213 @default.
- W2884879103 cites W2060304556 @default.
- W2884879103 cites W2068306188 @default.
- W2884879103 cites W2075229464 @default.
- W2884879103 cites W2076057716 @default.
- W2884879103 cites W2088652291 @default.
- W2884879103 cites W2088724035 @default.
- W2884879103 cites W2093012115 @default.
- W2884879103 cites W2102514286 @default.
- W2884879103 cites W2104477830 @default.
- W2884879103 cites W2110562802 @default.
- W2884879103 cites W2120715487 @default.
- W2884879103 cites W2123712613 @default.
- W2884879103 cites W2125439985 @default.
- W2884879103 cites W2135061893 @default.
- W2884879103 cites W2135609966 @default.
- W2884879103 cites W2140153041 @default.
- W2884879103 cites W2143014450 @default.
- W2884879103 cites W2146177233 @default.
- W2884879103 cites W2147970410 @default.
- W2884879103 cites W2161288709 @default.
- W2884879103 cites W2162166182 @default.
- W2884879103 cites W2165433350 @default.
- W2884879103 cites W2165565773 @default.
- W2884879103 cites W2170735624 @default.
- W2884879103 cites W2170802700 @default.
- W2884879103 cites W2185223055 @default.
- W2884879103 cites W2314118227 @default.
- W2884879103 cites W2500678773 @default.
- W2884879103 cites W2569129743 @default.
- W2884879103 cites W2596528434 @default.
- W2884879103 cites W2613478192 @default.
- W2884879103 cites W2731784911 @default.
- W2884879103 cites W2756725519 @default.
- W2884879103 cites W2962812516 @default.
- W2884879103 cites W3021550876 @default.
- W2884879103 cites W4239556410 @default.
- W2884879103 cites W4293003482 @default.
- W2884879103 cites W794320856 @default.
- W2884879103 doi "https://doi.org/10.1016/j.jcp.2018.07.011" @default.
- W2884879103 hasPublicationYear "2018" @default.
- W2884879103 type Work @default.
- W2884879103 sameAs 2884879103 @default.
- W2884879103 citedByCount "12" @default.
- W2884879103 countsByYear W28848791032020 @default.
- W2884879103 countsByYear W28848791032021 @default.
- W2884879103 countsByYear W28848791032022 @default.
- W2884879103 countsByYear W28848791032023 @default.
- W2884879103 crossrefType "journal-article" @default.
- W2884879103 hasAuthorship W2884879103A5084919405 @default.
- W2884879103 hasAuthorship W2884879103A5089262981 @default.
- W2884879103 hasConcept C126255220 @default.
- W2884879103 hasConcept C134306372 @default.
- W2884879103 hasConcept C155332342 @default.
- W2884879103 hasConcept C159694833 @default.
- W2884879103 hasConcept C167431342 @default.
- W2884879103 hasConcept C182310444 @default.
- W2884879103 hasConcept C2778770139 @default.
- W2884879103 hasConcept C28826006 @default.
- W2884879103 hasConcept C33923547 @default.
- W2884879103 hasConcept C41008148 @default.
- W2884879103 hasConcept C62354387 @default.
- W2884879103 hasConcept C73000952 @default.
- W2884879103 hasConceptScore W2884879103C126255220 @default.
- W2884879103 hasConceptScore W2884879103C134306372 @default.
- W2884879103 hasConceptScore W2884879103C155332342 @default.