Relationships among some locally conservative discretization methods which handle discontinuous coefficients
By Runhild A. Klausen, Thomas F. Russell. 2004
101 citations recorded by the source corpus.
Subfields: Computational Mechanics, Electrical and Electronic Engineering
View Paper: https://www.semanticscholar.org/paper/bdc25771b0300e0de716778d7ee2e6a9e977e85b
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In Computational Mechanics
- Ivar Aavatsmark
- Runhild A. Klausen
- Ragnar Winther
- Martin Vohralík
- Barbara I. Wohlmuth
- Costanza Aricò
- Tullio Tucciarelli
- Marco Sinagra
In Electrical and Electronic Engineering
- Ivar Aavatsmark
- Runhild A. Klausen
- Ragnar Winther
- Martin Vohralík
- Barbara I. Wohlmuth
- Costanza Aricò
- Lorenzo Begnudelli
- Tullio Tucciarelli
Citations in the corpus
- MAST-2D diffusive model for flood prediction on domains with triangular Delaunay unstructured meshes (2011, methodology): “MAST scheme is a locally conservative method, meaning that the sum of the fluxes over each cell edges equals the accumulation term plus any sources or sinks in the cell, and the flux is continuous across each edge [29] (see Appendix C).”
- Equivalence between lowest-order mixed finite element and multi-point finite volume methods on simplicial meshes (2006, background): “Relations among several different schemes on quadrilateral grids are also studied in [28].”
- MIXED FINITE ELEMENT METHODS: IMPLEMENTATION WITH ONE UNKNOWN PER ELEMENT, LOCAL FLUX EXPRESSIONS, POSITIVITY, POLYGONAL MESHES, AND RELATIONS TO OTHER METHODS (2013, result): “For some other comparisons between these various methods, we refer to [45, 32] and the references therein.”
- A stabilized mixed discontinuous Galerkin method for Darcy flow (2006, unknown): “This topic has been recently investigated thoroughly by Tom Russell and his colleagues [30] [35], wherein a number of formulations are studied.”
- Convergence of multipoint flux approximations on quadrilateral grids (2006, methodology): “A connection from an expanded mixed finite element method, [7], to a MPFA is shown on orthogonal grids in [21].”
- Multipoint flux approximation methods for quadrilateral grids (2007, methodology): “In [41, 58, 64, 65] the MPFA O-method is compared to other local conservative discretization methods, see also [47].”