Matches in SemOpenAlex for { <https://semopenalex.org/work/W2785562783> ?p ?o ?g. }
- W2785562783 endingPage "211" @default.
- W2785562783 startingPage "191" @default.
- W2785562783 abstract "We investigate integral formulations and fast algorithms for the steady-state radiative transfer equation with isotropic and anisotropic scattering. When the scattering term is a smooth convolution on the unit sphere, a model reduction step in the angular domain using the Fourier transformation in 2D and the spherical harmonic transformation in 3D significantly reduces the number of degrees of freedoms. The resulting Fourier coefficients or spherical harmonic coefficients satisfy a Fredholm integral equation of the second kind. We study the uniqueness of the equation and proved an a priori estimate. For a homogeneous medium, the integral equation can be solved efficiently using the FFT and iterative methods. For an inhomogeneous medium, the recursive skeletonization factorization method is applied instead. Numerical simulations demonstrate the efficiency of the proposed algorithms in both homogeneous and inhomogeneous cases and for both transport and diffusion regimes." @default.
- W2785562783 created "2018-02-23" @default.
- W2785562783 creator A5011918131 @default.
- W2785562783 creator A5032790636 @default.
- W2785562783 creator A5068803477 @default.
- W2785562783 date "2019-03-01" @default.
- W2785562783 modified "2023-10-14" @default.
- W2785562783 title "Fast algorithms for integral formulations of steady-state radiative transfer equation" @default.
- W2785562783 cites W1940191795 @default.
- W2785562783 cites W1972471319 @default.
- W2785562783 cites W1973191545 @default.
- W2785562783 cites W1990081118 @default.
- W2785562783 cites W1990529201 @default.
- W2785562783 cites W2012076202 @default.
- W2785562783 cites W2014660679 @default.
- W2785562783 cites W2018850201 @default.
- W2785562783 cites W2019015866 @default.
- W2785562783 cites W2023999127 @default.
- W2785562783 cites W2034158079 @default.
- W2785562783 cites W2038462676 @default.
- W2785562783 cites W2043246122 @default.
- W2785562783 cites W2057765812 @default.
- W2785562783 cites W2057996466 @default.
- W2785562783 cites W2059584150 @default.
- W2785562783 cites W2061784001 @default.
- W2785562783 cites W2062894986 @default.
- W2785562783 cites W2067828523 @default.
- W2785562783 cites W2074815274 @default.
- W2785562783 cites W2085271360 @default.
- W2785562783 cites W2125439985 @default.
- W2785562783 cites W2136046520 @default.
- W2785562783 cites W2140153041 @default.
- W2785562783 cites W2147740859 @default.
- W2785562783 cites W2326159504 @default.
- W2785562783 cites W2950678188 @default.
- W2785562783 cites W3100074738 @default.
- W2785562783 cites W4237848465 @default.
- W2785562783 doi "https://doi.org/10.1016/j.jcp.2018.12.014" @default.
- W2785562783 hasPublicationYear "2019" @default.
- W2785562783 type Work @default.
- W2785562783 sameAs 2785562783 @default.
- W2785562783 citedByCount "24" @default.
- W2785562783 countsByYear W27855627832018 @default.
- W2785562783 countsByYear W27855627832019 @default.
- W2785562783 countsByYear W27855627832020 @default.
- W2785562783 countsByYear W27855627832021 @default.
- W2785562783 countsByYear W27855627832023 @default.
- W2785562783 crossrefType "journal-article" @default.
- W2785562783 hasAuthorship W2785562783A5011918131 @default.
- W2785562783 hasAuthorship W2785562783A5032790636 @default.
- W2785562783 hasAuthorship W2785562783A5068803477 @default.
- W2785562783 hasBestOaLocation W27855627831 @default.
- W2785562783 hasConcept C102519508 @default.
- W2785562783 hasConcept C11413529 @default.
- W2785562783 hasConcept C120665830 @default.
- W2785562783 hasConcept C121332964 @default.
- W2785562783 hasConcept C134306372 @default.
- W2785562783 hasConcept C136264566 @default.
- W2785562783 hasConcept C162324750 @default.
- W2785562783 hasConcept C191486275 @default.
- W2785562783 hasConcept C27016315 @default.
- W2785562783 hasConcept C2780378061 @default.
- W2785562783 hasConcept C33923547 @default.
- W2785562783 hasConcept C3768446 @default.
- W2785562783 hasConcept C571446 @default.
- W2785562783 hasConcept C74902906 @default.
- W2785562783 hasConcept C75172450 @default.
- W2785562783 hasConcept C89285879 @default.
- W2785562783 hasConceptScore W2785562783C102519508 @default.
- W2785562783 hasConceptScore W2785562783C11413529 @default.
- W2785562783 hasConceptScore W2785562783C120665830 @default.
- W2785562783 hasConceptScore W2785562783C121332964 @default.
- W2785562783 hasConceptScore W2785562783C134306372 @default.
- W2785562783 hasConceptScore W2785562783C136264566 @default.
- W2785562783 hasConceptScore W2785562783C162324750 @default.
- W2785562783 hasConceptScore W2785562783C191486275 @default.
- W2785562783 hasConceptScore W2785562783C27016315 @default.
- W2785562783 hasConceptScore W2785562783C2780378061 @default.
- W2785562783 hasConceptScore W2785562783C33923547 @default.
- W2785562783 hasConceptScore W2785562783C3768446 @default.
- W2785562783 hasConceptScore W2785562783C571446 @default.
- W2785562783 hasConceptScore W2785562783C74902906 @default.
- W2785562783 hasConceptScore W2785562783C75172450 @default.
- W2785562783 hasConceptScore W2785562783C89285879 @default.
- W2785562783 hasFunder F4320306076 @default.
- W2785562783 hasFunder F4320337506 @default.
- W2785562783 hasLocation W27855627831 @default.
- W2785562783 hasLocation W27855627832 @default.
- W2785562783 hasLocation W27855627833 @default.
- W2785562783 hasOpenAccess W2785562783 @default.
- W2785562783 hasPrimaryLocation W27855627831 @default.
- W2785562783 hasRelatedWork W144643125 @default.
- W2785562783 hasRelatedWork W1966099618 @default.
- W2785562783 hasRelatedWork W1997400358 @default.
- W2785562783 hasRelatedWork W2011603787 @default.
- W2785562783 hasRelatedWork W204567622 @default.
- W2785562783 hasRelatedWork W2048123211 @default.
- W2785562783 hasRelatedWork W2066074846 @default.