http://www.cnr.it/ontology/cnr/individuo/prodotto/ID85337
3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids (Contributo in atti di convegno)
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- 3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids (Contributo in atti di convegno) (literal)
- Anno
- 2011-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1007/978-3-642-20671-9_89 (literal)
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Eymard, Robert; Henry, Gerard; Herbin, Raphaele; Hubert, Florence; Kloefkorn, Robert; Manzini, Gianmarco (2011)
3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids
in 6th International Symposium on Finite Volumes for Complex Applications, Praga, 6-10 giugno 2011
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- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- Eymard, Robert; Henry, Gerard; Herbin, Raphaele; Hubert, Florence; Kloefkorn, Robert; Manzini, Gianmarco (literal)
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- http://link.springer.com/chapter/10.1007%2F978-3-642-20671-9_89 (literal)
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- Finite Volumes for Complex Applications VI Problems & Perspectives (literal)
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- In: \"Finite volumes for complex applications VI; Problems and perspectives\", Springer, 2011 (Springer proceedings in mathematics, vol. 4), pag. 977-984 p.
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- Université Paris-Est, Paris, France;
Université Aix-Marseille, Aix-Marseille, France;
Universität Freiburg, Freiburg, Germany (literal)
- Titolo
- 3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#isbn
- 978-3-642-20671-9 (literal)
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- Jaroslav Fort, Jiri Fürst, Jan Halama, Raphaèle Herbin, Florence Hubert (literal)
- Abstract
- We present a number of test cases and meshes that were designed as a benchmark for numerical schemes dedicated to the approximation of three-dimensional anisotropic and heterogeneous diffusion problems. These numerical schemes may be applied to general, possibly non conforming, meshes composed of tetrahedra, hexahedra and quite distorted general polyhedra. A number of methods were tested among which conforming finite element methods, discontinuous Galerkin finite element methods, cell-centered finite volume methods, discrete duality finite volume methods, mimetic finite difference methods, mixed finite element methods, and gradient schemes. We summarize the results presented by the participants to the benchmark, which range from the number of unknowns, the approximation errors of the solution and its gradient, to the minimum and maximum values and energy. We also compare the performance of several iterative or direct linear solvers for the resolution of the linear systems issued from the presented schemes. (literal)
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