Convergence of a symmetric MPFA method on quadrilateral grids
By Ivar Aavatsmark, G. T. Eigestad, Runhild A. Klausen, Mary F. Wheeler, Ivan Yotov. 2007
133 citations recorded by the source corpus.
Subfields: Computational Mechanics, Electrical and Electronic Engineering
View Paper: https://www.semanticscholar.org/paper/390fbe58b58937379425dbde66d83b97b5546f61
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Ivan Yotov
- Ivar Aavatsmark
- Anis Younes
- Philippe Ackerer
- Frederick Delay
- Mary F. Wheeler
- Guangri Xue
- Barbara I. Wohlmuth
In Electrical and Electronic Engineering
- Ivar Aavatsmark
- Mary F. Wheeler
- Ivan Yotov
- Anis Younes
- Philippe Ackerer
- Guangri Xue
- Frederick Delay
- Barbara I. Wohlmuth
Citations in the corpus
- Coupling multipoint flux mixed finite element methodswith continuous Galerkin methods for poroelasticity (2013, methodology): “We refer to [23, 24] for a related work on quadrilateral grids using a broken Raviart-Thomas space and to [1, 22] for papers utilizing both approaches.”
- Mixed finite elements for solving 2‐D diffusion‐type equations (2010, methodology): “Reference space discretizations are symmetric, but their convergence diminishes or vanishes for rough quadrangular grids [Aavatsmark et al., 2007].”
- Multipoint flux approximation methods for quadrilateral grids (2007, methodology): “1 Convergence The convergence property for the equation (7) has been discussed in several papers [10, 11, 12, 13, 14, 42, 43, 54, 55, 68, 69].”
- MIXED FINITE ELEMENT METHODS: IMPLEMENTATION WITH ONE UNKNOWN PER ELEMENT, LOCAL FLUX EXPRESSIONS, POSITIVITY, POLYGONAL MESHES, AND RELATIONS TO OTHER METHODS (2013, result): “The last goal of the present paper is to, through the preceding developments, show the closeness of mixed finite element methods to various other discretization schemes, namely mimetic finite difference [43, 20, 40], hybrid finite volume [35], mixed finite volume [31], multi-point fluxapproximation ”