Matches in SemOpenAlex for { <https://semopenalex.org/work/W2890144937> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W2890144937 endingPage "508" @default.
- W2890144937 startingPage "490" @default.
- W2890144937 abstract "Strongly degenerate parabolic convection–diffusion equations arise as governing equations in a number of applications such as traffic flow with driver reaction and anticipation distance and sedimentation of solid–liquid suspensions in mineral processing and wastewater treatment. In these applications several parameters that define the convective flux function and the degenerating diffusion coefficient are subject to stochastic variability. A method to evaluate the variability of the solution of the governing partial differential equation in response to that of the parameters is presented. To this end, a generalized polynomial chaos (gPC) expansion of the solution is approximated by its projection onto a finite-dimensional space of piecewise polynomial functions defined on a suitable discretization of the stochastic domain, according to the basic principle of the hybrid stochastic Galerkin (HSG) approach. This approach is combined with a finite volume (FV) method, resulting in a so-called FV–HSG method, to compute the sought deterministic coefficient functions of the truncated polynomial-chaos-based expansion of the solution. Since the stochastic parameter space is now spanned by piecewise polynomial functions, one may employ the numerical result to compute the reconstruction of the numerical solution for arbitrary values of the random variables. The expectation, the variance or other stochastic quantities of the solution (as functions of time and position) can also be computed from these coefficient functions. The method is illustrated by a number of numerical examples." @default.
- W2890144937 created "2018-09-27" @default.
- W2890144937 creator A5024575553 @default.
- W2890144937 creator A5063621618 @default.
- W2890144937 date "2019-03-01" @default.
- W2890144937 modified "2023-10-01" @default.
- W2890144937 title "Computational uncertainty quantification for some strongly degenerate parabolic convection–diffusion equations" @default.
- W2890144937 cites W1502508041 @default.
- W2890144937 cites W1965062614 @default.
- W2890144937 cites W1972076817 @default.
- W2890144937 cites W1978744409 @default.
- W2890144937 cites W1982867713 @default.
- W2890144937 cites W1983156129 @default.
- W2890144937 cites W2000084698 @default.
- W2890144937 cites W2009386567 @default.
- W2890144937 cites W2036586276 @default.
- W2890144937 cites W2036766781 @default.
- W2890144937 cites W2041763847 @default.
- W2890144937 cites W2052831528 @default.
- W2890144937 cites W2061604462 @default.
- W2890144937 cites W2064332562 @default.
- W2890144937 cites W2065588677 @default.
- W2890144937 cites W2067973271 @default.
- W2890144937 cites W2069366742 @default.
- W2890144937 cites W2070821045 @default.
- W2890144937 cites W2075032856 @default.
- W2890144937 cites W2084444254 @default.
- W2890144937 cites W2085947879 @default.
- W2890144937 cites W2088820595 @default.
- W2890144937 cites W2093921901 @default.
- W2890144937 cites W2100917607 @default.
- W2890144937 cites W2139038267 @default.
- W2890144937 cites W2139798157 @default.
- W2890144937 cites W2140403587 @default.
- W2890144937 cites W2156669471 @default.
- W2890144937 cites W2294919930 @default.
- W2890144937 cites W3010292040 @default.
- W2890144937 doi "https://doi.org/10.1016/j.cam.2018.09.006" @default.
- W2890144937 hasPublicationYear "2019" @default.
- W2890144937 type Work @default.
- W2890144937 sameAs 2890144937 @default.
- W2890144937 citedByCount "6" @default.
- W2890144937 countsByYear W28901449372019 @default.
- W2890144937 countsByYear W28901449372021 @default.
- W2890144937 countsByYear W28901449372022 @default.
- W2890144937 countsByYear W28901449372023 @default.
- W2890144937 crossrefType "journal-article" @default.
- W2890144937 hasAuthorship W2890144937A5024575553 @default.
- W2890144937 hasAuthorship W2890144937A5063621618 @default.
- W2890144937 hasBestOaLocation W28901449371 @default.
- W2890144937 hasConcept C105795698 @default.
- W2890144937 hasConcept C134306372 @default.
- W2890144937 hasConcept C164660894 @default.
- W2890144937 hasConcept C17456955 @default.
- W2890144937 hasConcept C19499675 @default.
- W2890144937 hasConcept C197656079 @default.
- W2890144937 hasConcept C28826006 @default.
- W2890144937 hasConcept C33923547 @default.
- W2890144937 hasConcept C51955184 @default.
- W2890144937 hasConcept C73000952 @default.
- W2890144937 hasConcept C90119067 @default.
- W2890144937 hasConcept C93779851 @default.
- W2890144937 hasConceptScore W2890144937C105795698 @default.
- W2890144937 hasConceptScore W2890144937C134306372 @default.
- W2890144937 hasConceptScore W2890144937C164660894 @default.
- W2890144937 hasConceptScore W2890144937C17456955 @default.
- W2890144937 hasConceptScore W2890144937C19499675 @default.
- W2890144937 hasConceptScore W2890144937C197656079 @default.
- W2890144937 hasConceptScore W2890144937C28826006 @default.
- W2890144937 hasConceptScore W2890144937C33923547 @default.
- W2890144937 hasConceptScore W2890144937C51955184 @default.
- W2890144937 hasConceptScore W2890144937C73000952 @default.
- W2890144937 hasConceptScore W2890144937C90119067 @default.
- W2890144937 hasConceptScore W2890144937C93779851 @default.
- W2890144937 hasFunder F4320338073 @default.
- W2890144937 hasFunder F4320338106 @default.
- W2890144937 hasLocation W28901449371 @default.
- W2890144937 hasOpenAccess W2890144937 @default.
- W2890144937 hasPrimaryLocation W28901449371 @default.
- W2890144937 hasRelatedWork W1971746901 @default.
- W2890144937 hasRelatedWork W2010196228 @default.
- W2890144937 hasRelatedWork W2025769367 @default.
- W2890144937 hasRelatedWork W2056066177 @default.
- W2890144937 hasRelatedWork W2166246284 @default.
- W2890144937 hasRelatedWork W2369993966 @default.
- W2890144937 hasRelatedWork W2761503845 @default.
- W2890144937 hasRelatedWork W328558596 @default.
- W2890144937 hasRelatedWork W4232993046 @default.
- W2890144937 hasRelatedWork W97632883 @default.
- W2890144937 hasVolume "348" @default.
- W2890144937 isParatext "false" @default.
- W2890144937 isRetracted "false" @default.
- W2890144937 magId "2890144937" @default.
- W2890144937 workType "article" @default.