A method for a solution of equilibrium problem and fixed point problem of a nonexpansive semigroup in Hilbert's spaces.
Nguyen Buong, Nguyen Dinh Duong (2011)
Fixed Point Theory and Applications [electronic only]
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Nguyen Buong, Nguyen Dinh Duong (2011)
Fixed Point Theory and Applications [electronic only]
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Rath, Nandita (2003)
International Journal of Mathematics and Mathematical Sciences
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Suantai, Suthep, Sanhan, Winate (2002)
International Journal of Mathematics and Mathematical Sciences
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Robert Eymard, Raphaèle Herbin, Jean Claude Latché (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
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We present and analyse in this paper a novel colocated Finite Volume scheme for the solution of the Stokes problem. It has been developed following two main ideas. On one hand, the discretization of the pressure gradient term is built as the discrete transposed of the velocity divergence term, the latter being evaluated using a natural finite volume approximation; this leads to a non-standard interpolation formula for the expression of the pressure on the edges of the control volumes. On...
Cheng, Wanyou, Zhang, Zongguo (2009)
Mathematical Problems in Engineering
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Léo Agélas, Daniele A. Di Pietro, Jérôme Droniou (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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In the present work we introduce a new family of cell-centered Finite Volume schemes for anisotropic and heterogeneous diffusion operators inspired by the MPFA L method. A very general framework for the convergence study of finite volume methods is provided and then used to establish the convergence of the new method. Fairly general meshes are covered and a computable sufficient criterion for coercivity is provided. In order to guarantee consistency in the presence of heterogeneous ...
Melendez, Yolanda (1994)
Portugaliae Mathematica
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