Titlebook: Domain Decomposition Methods in Science and Engineering XXI; Jocelyne Erhel,Martin J. Gander,Olof Widlund Conference proceedings 2014 Spri

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Recent Advances in Domain Decomposition Methods for the Stokes Problemure functions and more flexibility in the construction of the coarse problem. For the case of discontinuous pressure functions, a coarse problem related to only primal velocity unknowns is shown to give scalability in both dual and primal types of domain decomposition methods. The two formulations a

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On an Adaptive Coarse Space and on Nonlinear Domain Decomposition eigenvalue problems for the solution of heterogeneous, e.g., multiscale, problems is considered. This strategy to construct a coarse space is implemented using a deflation approach. In the second part of the proceedings article, new domain decomposition approaches for nonlinear problems are introdu

LIKEN

A Domain-Based Multinumeric Method for the Steady-State Convection-Diffusion Equationrkin method is used or a cell-centered finite volume is used. Both methods are locally mass conservatives and therefore well-suited for modeling porous media flows. Convergence of the method is obtained by deriving a priori error estimates.

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Pepsin

A Multi-Stage Preconditioner for the Black Oil Model and Its OpenMP Implementatione take several analytical and physical considerations into account, and choose appropriate auxiliary spaces (problems) to design a preconditioner in the framework of auxiliary space preconditioning method. Secondly, we present an efficient implementation of the proposed preconditioner in modern mult

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Generating Equidistributed Meshes in 2D via Domain Decompositiony review the derivation of the local equidistribution principle and the appropriate choice of boundary conditions. We then introduce classical and optimized Schwarz domain decomposition methods to solve the resulting system of nonlinear equations. The implementation of these iterations are discussed

Cabinet

MPI–OpenMP Algorithms for the Parallel Space–Time Solution of Time Dependent PDEse with a classical domain decomposition method in space, was proposed and studied. The algorithm enables a multiplicative increase in the number of cores utilized in the spatial solver equal to the order of accuracy in time. This paper reviews the RIDC–DD method and presents in detail two hybrid MPI

Grating

Asparagus

GPU-Based Parallel Reservoir Simulators Unit (GPU), a high-profile parallel processor with hundreds of microprocessors, offers great potential in parallel reservoir simulation because of its efficient power utilization and high computational efficiency. In addition, its cost is relatively low, making large-scale parallel reservoir simula

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