Matches in SemOpenAlex for { <https://semopenalex.org/work/W2912777423> ?p ?o ?g. }
- W2912777423 endingPage "47" @default.
- W2912777423 startingPage "23" @default.
- W2912777423 abstract "Some standard numerical methods, such as mimetic finite difference method, finite volume method and mixed finite element method, often fail in solving nonlinear diffusion problems with degenerate diffusion coefficients, since a harmonic average of diffusion coefficients is involved in these methods. To avoid such problem, we present some finite volume element schemes to solve a class of 1D degenerate nonlinear parabolic equations in this paper. Some fully discrete schemes are given by using linear and quadratic finite volume elements in space and a backward difference formulation in time. To deal with unphysical numerical oscillation, we apply two nonnegativity-preserving repair techniques based on a posteriori corrections to finite volume element solutions. One is a local approach, in which any negative energy corresponding to some mesh node is absorbed by the positive values near the current node. The other is a global strategy, in which the total negative energy is redistributed to each positive value in the numerical solution in proportion to its value. In addition, some monotonous finite volume element schemes with lumped-mass strategy are presented. Numerical examples are included to demonstrate the effectiveness and competitive behavior of the proposed methods." @default.
- W2912777423 created "2019-02-21" @default.
- W2912777423 creator A5028168384 @default.
- W2912777423 creator A5035173652 @default.
- W2912777423 creator A5052600624 @default.
- W2912777423 creator A5058568814 @default.
- W2912777423 date "2019-06-01" @default.
- W2912777423 modified "2023-10-03" @default.
- W2912777423 title "Finite volume element approximation for nonlinear diffusion problems with degenerate diffusion coefficients" @default.
- W2912777423 cites W135868273 @default.
- W2912777423 cites W1492533170 @default.
- W2912777423 cites W1586307467 @default.
- W2912777423 cites W1879538256 @default.
- W2912777423 cites W1973903805 @default.
- W2912777423 cites W1981510480 @default.
- W2912777423 cites W1988391810 @default.
- W2912777423 cites W1989806103 @default.
- W2912777423 cites W2002182424 @default.
- W2912777423 cites W2009137576 @default.
- W2912777423 cites W2013826645 @default.
- W2912777423 cites W2014618205 @default.
- W2912777423 cites W2016641115 @default.
- W2912777423 cites W2020801965 @default.
- W2912777423 cites W2022022697 @default.
- W2912777423 cites W2022591932 @default.
- W2912777423 cites W2023963475 @default.
- W2912777423 cites W2024406524 @default.
- W2912777423 cites W2024612023 @default.
- W2912777423 cites W2031097253 @default.
- W2912777423 cites W2034583018 @default.
- W2912777423 cites W2037550635 @default.
- W2912777423 cites W2039770548 @default.
- W2912777423 cites W2051995249 @default.
- W2912777423 cites W2056793895 @default.
- W2912777423 cites W2061432261 @default.
- W2912777423 cites W2070621570 @default.
- W2912777423 cites W2076642757 @default.
- W2912777423 cites W2081062230 @default.
- W2912777423 cites W2085540192 @default.
- W2912777423 cites W2088776363 @default.
- W2912777423 cites W2089766265 @default.
- W2912777423 cites W2091275824 @default.
- W2912777423 cites W2093156044 @default.
- W2912777423 cites W2094545899 @default.
- W2912777423 cites W2118809139 @default.
- W2912777423 cites W2144507321 @default.
- W2912777423 cites W2144844073 @default.
- W2912777423 cites W2165189906 @default.
- W2912777423 cites W2168604188 @default.
- W2912777423 cites W2318389815 @default.
- W2912777423 cites W2329835172 @default.
- W2912777423 cites W2347539535 @default.
- W2912777423 cites W2510657622 @default.
- W2912777423 cites W2916655387 @default.
- W2912777423 cites W3100761649 @default.
- W2912777423 cites W3121669256 @default.
- W2912777423 doi "https://doi.org/10.1016/j.apnum.2019.01.013" @default.
- W2912777423 hasPublicationYear "2019" @default.
- W2912777423 type Work @default.
- W2912777423 sameAs 2912777423 @default.
- W2912777423 citedByCount "5" @default.
- W2912777423 countsByYear W29127774232020 @default.
- W2912777423 countsByYear W29127774232021 @default.
- W2912777423 countsByYear W29127774232022 @default.
- W2912777423 countsByYear W29127774232023 @default.
- W2912777423 crossrefType "journal-article" @default.
- W2912777423 hasAuthorship W2912777423A5028168384 @default.
- W2912777423 hasAuthorship W2912777423A5035173652 @default.
- W2912777423 hasAuthorship W2912777423A5052600624 @default.
- W2912777423 hasAuthorship W2912777423A5058568814 @default.
- W2912777423 hasConcept C121332964 @default.
- W2912777423 hasConcept C126255220 @default.
- W2912777423 hasConcept C129844170 @default.
- W2912777423 hasConcept C134306372 @default.
- W2912777423 hasConcept C135628077 @default.
- W2912777423 hasConcept C144468803 @default.
- W2912777423 hasConcept C158622935 @default.
- W2912777423 hasConcept C181330731 @default.
- W2912777423 hasConcept C2524010 @default.
- W2912777423 hasConcept C28826006 @default.
- W2912777423 hasConcept C33923547 @default.
- W2912777423 hasConcept C48753275 @default.
- W2912777423 hasConcept C50478463 @default.
- W2912777423 hasConcept C57879066 @default.
- W2912777423 hasConcept C62520636 @default.
- W2912777423 hasConcept C69357855 @default.
- W2912777423 hasConcept C72319582 @default.
- W2912777423 hasConcept C85405225 @default.
- W2912777423 hasConcept C93779851 @default.
- W2912777423 hasConcept C97355855 @default.
- W2912777423 hasConcept C97826883 @default.
- W2912777423 hasConceptScore W2912777423C121332964 @default.
- W2912777423 hasConceptScore W2912777423C126255220 @default.
- W2912777423 hasConceptScore W2912777423C129844170 @default.
- W2912777423 hasConceptScore W2912777423C134306372 @default.
- W2912777423 hasConceptScore W2912777423C135628077 @default.
- W2912777423 hasConceptScore W2912777423C144468803 @default.
- W2912777423 hasConceptScore W2912777423C158622935 @default.