FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3080182617> ?p ?o ?g. }

• W3080182617 endingPage "102" @default.
• W3080182617 startingPage "81" @default.
• W3080182617 abstract "Analysis of Galerkin-mixed FEMs for incompressible miscible flow in porous media has been investigated extensively in the last several decades. Of particular interest in practical applications is the lowest-order Galerkin-mixed method, in which a linear Lagrange FE approximation is used for the concentration and the lowest-order Raviart-Thomas FE approximation is used for the velocity/pressure. The previous works only showed the first-order accuracy of the method in <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper L squared> <mml:semantics> <mml:msup> <mml:mi>L</mml:mi> <mml:mn>2</mml:mn> </mml:msup> <mml:annotation encoding=application/x-tex>L^2</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-norm in spatial direction, which however is not optimal and valid only under certain extra restrictions on both time step and spatial mesh. In this paper, we provide new and optimal <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper L squared> <mml:semantics> <mml:msup> <mml:mi>L</mml:mi> <mml:mn>2</mml:mn> </mml:msup> <mml:annotation encoding=application/x-tex>L^2</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-norm error estimates of Galerkin-mixed FEMs for all three components in a general case. In particular, for the lowest-order Galerkin-mixed FEM, we show unconditionally the second-order accuracy in <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper L squared> <mml:semantics> <mml:msup> <mml:mi>L</mml:mi> <mml:mn>2</mml:mn> </mml:msup> <mml:annotation encoding=application/x-tex>L^2</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-norm for the concentration. Numerical results for both two- and three-dimensional models are presented to confirm our theoretical analysis. More important is that our approach can be extended to the analysis of mixed FEMs for many strongly coupled systems to obtain optimal error estimates for all components." @default.
• W3080182617 created "2020-09-01" @default.
• W3080182617 creator A5014226512 @default.
• W3080182617 creator A5088646205 @default.
• W3080182617 date "2020-09-08" @default.
• W3080182617 modified "2023-10-16" @default.
• W3080182617 title "New analysis of Galerkin-mixed FEMs for incompressible miscible flow in porous media" @default.
• W3080182617 cites W1029435916 @default.
• W3080182617 cites W1510033248 @default.
• W3080182617 cites W1516132534 @default.
• W3080182617 cites W1575648505 @default.
• W3080182617 cites W1965012454 @default.
• W3080182617 cites W1967868847 @default.
• W3080182617 cites W1980628666 @default.
• W3080182617 cites W1986054947 @default.
• W3080182617 cites W1989867921 @default.
• W3080182617 cites W2015670999 @default.
• W3080182617 cites W2017034087 @default.
• W3080182617 cites W2019471783 @default.
• W3080182617 cites W2019557014 @default.
• W3080182617 cites W2023634815 @default.
• W3080182617 cites W2024625961 @default.
• W3080182617 cites W2031441801 @default.
• W3080182617 cites W203255013 @default.
• W3080182617 cites W2033783682 @default.
• W3080182617 cites W204624611 @default.
• W3080182617 cites W2047378168 @default.
• W3080182617 cites W2054181050 @default.
• W3080182617 cites W2057579751 @default.
• W3080182617 cites W2063012691 @default.
• W3080182617 cites W2064076233 @default.
• W3080182617 cites W2064591779 @default.
• W3080182617 cites W2066508574 @default.
• W3080182617 cites W2069726223 @default.
• W3080182617 cites W2080980858 @default.
• W3080182617 cites W2084041252 @default.
• W3080182617 cites W2091320748 @default.
• W3080182617 cites W2100363162 @default.
• W3080182617 cites W2114405526 @default.
• W3080182617 cites W2142436764 @default.
• W3080182617 cites W2168641622 @default.
• W3080182617 cites W2523474032 @default.
• W3080182617 cites W2532317810 @default.
• W3080182617 cites W2585820677 @default.
• W3080182617 cites W2603446208 @default.
• W3080182617 cites W2717874821 @default.
• W3080182617 cites W2801872526 @default.
• W3080182617 cites W2889590320 @default.
• W3080182617 cites W3016337953 @default.
• W3080182617 cites W3204708751 @default.
• W3080182617 cites W4237575966 @default.
• W3080182617 cites W4242273588 @default.
• W3080182617 cites W4242414820 @default.
• W3080182617 cites W574538030 @default.
• W3080182617 cites W593406250 @default.
• W3080182617 doi "https://doi.org/10.1090/mcom/3561" @default.
• W3080182617 hasPublicationYear "2020" @default.
• W3080182617 type Work @default.
• W3080182617 sameAs 3080182617 @default.
• W3080182617 citedByCount "7" @default.
• W3080182617 countsByYear W30801826172020 @default.
• W3080182617 countsByYear W30801826172021 @default.
• W3080182617 countsByYear W30801826172022 @default.
• W3080182617 countsByYear W30801826172023 @default.
• W3080182617 crossrefType "journal-article" @default.
• W3080182617 hasAuthorship W3080182617A5014226512 @default.
• W3080182617 hasAuthorship W3080182617A5088646205 @default.
• W3080182617 hasBestOaLocation W30801826171 @default.
• W3080182617 hasConcept C11413529 @default.
• W3080182617 hasConcept C121332964 @default.
• W3080182617 hasConcept C135628077 @default.
• W3080182617 hasConcept C33923547 @default.
• W3080182617 hasConcept C41008148 @default.
• W3080182617 hasConcept C92244383 @default.
• W3080182617 hasConcept C97355855 @default.
• W3080182617 hasConceptScore W3080182617C11413529 @default.
• W3080182617 hasConceptScore W3080182617C121332964 @default.
• W3080182617 hasConceptScore W3080182617C135628077 @default.
• W3080182617 hasConceptScore W3080182617C33923547 @default.
• W3080182617 hasConceptScore W3080182617C41008148 @default.
• W3080182617 hasConceptScore W3080182617C92244383 @default.
• W3080182617 hasConceptScore W3080182617C97355855 @default.
• W3080182617 hasIssue "327" @default.
• W3080182617 hasLocation W30801826171 @default.
• W3080182617 hasLocation W30801826172 @default.
• W3080182617 hasOpenAccess W3080182617 @default.
• W3080182617 hasPrimaryLocation W30801826171 @default.
• W3080182617 hasRelatedWork W1963948095 @default.
• W3080182617 hasRelatedWork W1979597421 @default.
• W3080182617 hasRelatedWork W2007980826 @default.
• W3080182617 hasRelatedWork W2019543145 @default.
• W3080182617 hasRelatedWork W2061531152 @default.
• W3080182617 hasRelatedWork W2386767533 @default.
• W3080182617 hasRelatedWork W2748952813 @default.
• W3080182617 hasRelatedWork W2899084033 @default.
• W3080182617 hasRelatedWork W4225152035 @default.
• W3080182617 hasRelatedWork W4245490552 @default.
• W3080182617 hasVolume "90" @default.

• next