Mixed finite volume methods on nonstaggered quadrilateral grids for elliptic problems

Cited 31 time in webofscience Cited 0 time in scopus
  • Hit : 203
  • Download : 0
We construct and analyze a mixed finite volume method on quadrilateral grids for elliptic problems written as a system of two first order PDEs in the state variable (e.g., pressure) and its flux (e.g., Darcy velocity). An important point is that no staggered grids or covolumes are used to stabilize the system. Only a single primary grid system is adopted, and the degrees of freedom are imposed on the interfaces. The approximate flux is sought in the lowest-order Raviart-Thomas space and the pressure field in the rotated-Q1 nonconforming space. Furthermore, we demonstrate that the present finite volume method can be interpreted as a rotated-Q1 nonconforming finite element method for the pressure with a simple local recovery of flux. Numerical results are presented for a variety of problems which confirm the usefulness and effectiveness of the method.
Publisher
AMER MATHEMATICAL SOC
Issue Date
2003
Language
English
Article Type
Article
Keywords

ELEMENT METHODS; COVOLUME METHODS; SCHEMES; MESHES

Citation

MATHEMATICS OF COMPUTATION, v.72, no.242, pp.525 - 539

ISSN
0025-5718
URI
http://hdl.handle.net/10203/81342
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 31 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0