Convergence of multipoint flux approximations on quadrilateral grids
By Runhild A. Klausen, Ragnar Winther. 2006
101 citations recorded by the source corpus.
Subfields: Computational Mechanics, Electrical and Electronic Engineering
View Paper: https://www.semanticscholar.org/paper/6affe54b956596b8adf653dcffc4c1a65b5657fd
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
- Ivar Aavatsmark
- Ivan Yotov
- Mary F. Wheeler
- G. T. Eigestad
- Anis Younes
- Philippe Ackerer
- Runhild A. Klausen
- Frederick Delay
In Electrical and Electronic Engineering
- Ivar Aavatsmark
- Mary F. Wheeler
- Ivan Yotov
- G. T. Eigestad
- Runhild A. Klausen
- Anis Younes
- Philippe Ackerer
- Guangri Xue
Citations in the corpus
- 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].”
- Convergence of a symmetric MPFA method on quadrilateral grids (2007, methodology): “In this paper, we consider the MPFA method for quadrilateral grids in a reference space [1, 5, 23, 24] and its relationship to the mixed finite element (MFE) method [12].”
- Mixed finite elements for solving 2‐D diffusion‐type equations (2010, background): “D quadrilaterals [Klausen and Winther, 2006a, 2006b], of MPFA on 2‐”
- Coupling multipoint flux mixed finite element methodswith continuous Galerkin methods for poroelasticity (2013, methodology): “Keywords Poroelasticity · Geomechanics · Multipoint flux mixed finite element · Continuous Galerkin · Finite volume method”
- 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 ”