Titlebook: Mesh Methods for Boundary-Value Problems and Applications; 13th International C Ildar B. Badriev,Victor Banderov,Sergey A. Lapin Conference

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Numerical Simulation of Water-Oil Inflow into the Producing Well from Non-uniform Oil Reservoir,red-heterogeneous oil reservoir are developed. The model consists of two group of differential equations. The first of them simulates a one-dimensional dispersed oil-water flow with discrete oil droplets included in a continuous water phase, and the second one—two-dimensional two-phase isothermal fi

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On Error Control at Numerical Solution of Forth Order Elliptic Equations with Strongly Discontinuou methods. We focus on the case of the element wise constant coefficient .., which chaotically varies between finite elements in the sufficiently wide range, and present the guaranteed, robust, and computable a posteriori error bounds. For the classical FEM’s, our bounds are robust for .. ∈ [0, ..],

epidermis

On the Solvability of a One-Dimensional Problem of Filtration Consolidation with a Limiting Gradienaturating the medium. In the filtration theory, this process is called filtration consolidation. From a mathematical viewpoint, the model under study is a system of nonlinear partial differential equations with respect to the pressure and displacement of liquid in the pores. Herewith, the degenerati

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Oleg Gerasimov,Nikita Kharin,Evgeny Statsenko,Dmitri Mukhin,Dmitri Berezhnoi,Oskar Sachenkovmpletely positive semigroups. This unified approach makes the material easily accessible to non-specialists and provides an easy access to practical applications. Written for graduate students, the book presents a wealth of useful examples; in particular, models of unstable and N-level systems are t

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