Matches in SemOpenAlex for { <https://semopenalex.org/work/W2000942284> ?p ?o ?g. }
- W2000942284 endingPage "257" @default.
- W2000942284 startingPage "219" @default.
- W2000942284 abstract "We propose a finite volume method on general meshes for the discretization of a degenerate parabolic convection–reaction–diffusion equation. Equations of this type arise in many contexts, such as for example the modeling of contaminant transport in porous media. The diffusion term, which can be anisotropic and heterogeneous, is discretized using a recently developed hybrid mimetic mixed framework. We construct a family of discretizations for the convection term, which uses the hybrid interface unknowns. We consider a wide range of unstructured possibly nonmatching polyhedral meshes in arbitrary space dimension. The scheme is fully implicit in time, it is locally conservative and robust with respect to the Péclet number. We obtain a convergence result based upon a priori estimates and the Fréchet–Kolmogorov compactness theorem. We implement the scheme both in two and three space dimensions and compare the numerical results obtained with the upwind and the centered discretizations of the convection term numerically." @default.
- W2000942284 created "2016-06-24" @default.
- W2000942284 creator A5044575554 @default.
- W2000942284 creator A5054981703 @default.
- W2000942284 creator A5069177148 @default.
- W2000942284 date "2012-07-19" @default.
- W2000942284 modified "2023-10-09" @default.
- W2000942284 title "A finite volume method on general meshes for a degenerate parabolic convection–reaction–diffusion equation" @default.
- W2000942284 cites W1494944027 @default.
- W2000942284 cites W1512127157 @default.
- W2000942284 cites W1555674425 @default.
- W2000942284 cites W1968754888 @default.
- W2000942284 cites W1970948210 @default.
- W2000942284 cites W1973533784 @default.
- W2000942284 cites W1973903805 @default.
- W2000942284 cites W1979093699 @default.
- W2000942284 cites W1979875310 @default.
- W2000942284 cites W1995315845 @default.
- W2000942284 cites W1998270701 @default.
- W2000942284 cites W2006669401 @default.
- W2000942284 cites W2010507423 @default.
- W2000942284 cites W2046128877 @default.
- W2000942284 cites W2062604016 @default.
- W2000942284 cites W2063862842 @default.
- W2000942284 cites W2089338801 @default.
- W2000942284 cites W2097964994 @default.
- W2000942284 cites W2111704392 @default.
- W2000942284 cites W2114405526 @default.
- W2000942284 cites W2119306252 @default.
- W2000942284 cites W2126086928 @default.
- W2000942284 cites W2138252964 @default.
- W2000942284 cites W2146475410 @default.
- W2000942284 cites W2156701719 @default.
- W2000942284 doi "https://doi.org/10.1007/s00211-012-0485-5" @default.
- W2000942284 hasPublicationYear "2012" @default.
- W2000942284 type Work @default.
- W2000942284 sameAs 2000942284 @default.
- W2000942284 citedByCount "31" @default.
- W2000942284 countsByYear W20009422842012 @default.
- W2000942284 countsByYear W20009422842014 @default.
- W2000942284 countsByYear W20009422842015 @default.
- W2000942284 countsByYear W20009422842016 @default.
- W2000942284 countsByYear W20009422842017 @default.
- W2000942284 countsByYear W20009422842018 @default.
- W2000942284 countsByYear W20009422842020 @default.
- W2000942284 countsByYear W20009422842021 @default.
- W2000942284 countsByYear W20009422842022 @default.
- W2000942284 countsByYear W20009422842023 @default.
- W2000942284 crossrefType "journal-article" @default.
- W2000942284 hasAuthorship W2000942284A5044575554 @default.
- W2000942284 hasAuthorship W2000942284A5054981703 @default.
- W2000942284 hasAuthorship W2000942284A5069177148 @default.
- W2000942284 hasBestOaLocation W20009422842 @default.
- W2000942284 hasConcept C101303905 @default.
- W2000942284 hasConcept C121332964 @default.
- W2000942284 hasConcept C134306372 @default.
- W2000942284 hasConcept C135628077 @default.
- W2000942284 hasConcept C144468803 @default.
- W2000942284 hasConcept C17456955 @default.
- W2000942284 hasConcept C186867907 @default.
- W2000942284 hasConcept C2524010 @default.
- W2000942284 hasConcept C28826006 @default.
- W2000942284 hasConcept C31487907 @default.
- W2000942284 hasConcept C33923547 @default.
- W2000942284 hasConcept C48753275 @default.
- W2000942284 hasConcept C50478463 @default.
- W2000942284 hasConcept C57879066 @default.
- W2000942284 hasConcept C62520636 @default.
- W2000942284 hasConcept C72319582 @default.
- W2000942284 hasConcept C73000952 @default.
- W2000942284 hasConcept C93779851 @default.
- W2000942284 hasConcept C97355855 @default.
- W2000942284 hasConceptScore W2000942284C101303905 @default.
- W2000942284 hasConceptScore W2000942284C121332964 @default.
- W2000942284 hasConceptScore W2000942284C134306372 @default.
- W2000942284 hasConceptScore W2000942284C135628077 @default.
- W2000942284 hasConceptScore W2000942284C144468803 @default.
- W2000942284 hasConceptScore W2000942284C17456955 @default.
- W2000942284 hasConceptScore W2000942284C186867907 @default.
- W2000942284 hasConceptScore W2000942284C2524010 @default.
- W2000942284 hasConceptScore W2000942284C28826006 @default.
- W2000942284 hasConceptScore W2000942284C31487907 @default.
- W2000942284 hasConceptScore W2000942284C33923547 @default.
- W2000942284 hasConceptScore W2000942284C48753275 @default.
- W2000942284 hasConceptScore W2000942284C50478463 @default.
- W2000942284 hasConceptScore W2000942284C57879066 @default.
- W2000942284 hasConceptScore W2000942284C62520636 @default.
- W2000942284 hasConceptScore W2000942284C72319582 @default.
- W2000942284 hasConceptScore W2000942284C73000952 @default.
- W2000942284 hasConceptScore W2000942284C93779851 @default.
- W2000942284 hasConceptScore W2000942284C97355855 @default.
- W2000942284 hasIssue "2" @default.
- W2000942284 hasLocation W20009422841 @default.
- W2000942284 hasLocation W20009422842 @default.
- W2000942284 hasLocation W20009422843 @default.
- W2000942284 hasLocation W20009422844 @default.
- W2000942284 hasLocation W20009422845 @default.
- W2000942284 hasLocation W20009422846 @default.