Titlebook: Domain Decomposition Methods in Science and Engineering XIX; Yunqing Huang,Ralf Kornhuber,Jinchao Xu Conference proceedings 2011 Springer-

Abjure

Stefanos Georganos,Monika Kuffert of certain a posteriori error estimates for high order finite elements based on superconvergence [7–9].We wanted to create an environment where these estimates could be evaluated in terms of their ability to estimate global errors for a wide range of problems, and to be used as the basis for adapt

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CALL

Monika Kuffer,Stefanos Georganosnion of polygonal substructures .. of size .(..). We allow this substructure decomposition to be geometrically nonconforming. Inside each substructure .., a conforming finite element space associated to a triangulation . is introduced. To handle the nonmatching meshes across ., a discontinuous Galer

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Jati Pratomo,Karin Pfeffer,Monika Kufferctly becomes a bottleneck. Since the coarse problem has the same structure as the original problem, it is straightforward to apply the method recursively to solve it only approximately. The two-level BDDC analysis has been extended into three-levels in a pioneering work in [14, 15], and into a gener

遭遇

Rufai Haruma Kilu,Mohammed-Amidu Sandato refine or adjust the mesh such that the errors are “equally” distributed over the computational mesh, with the aim of achieving a better accurate solution using an optimal number of degrees of freedom. By using the information from the approximated solution and the known data, the a posteriori er

Dorsal

Jean Kabongo,James Baba Abugre,Simon Siguécean-atmosphere coupling and far field simulations of underground nuclear waste disposal. For such problems with long time computations, a splitting of the time interval into windows is essential. This allows for robust and fast solvers in each time window, with the possibility of nonconforming spac

占卜者

Jean Kabongo,Simon Sigué,James Baba Abugrecross two subdomains. In one space dimension, we obtain convergence theorems by extending known results from the linear case. They hold both on the continuous and on the discrete level. From the proofs one can infer mesh-independence of the convergence rates for the Dirichlet–Neumann method, but not

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馬賽克

Usage-Based Second Language Instructionmploy a first or higher order boundary condition along the artificial interface to accelerate its convergence. In the literature, analysis of optimized Schwarz methods rely on Fourier analysis and so the domains are restricted to be regular (rectangle or disk). By expressing the interface operator i

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Kostas Arvanitis,Robert Simpsonpect that the discretized method performs as predicted by the continuous analysis. We show in this short note for two model problems that this is not always the case, and that the discretization can both increase and decrease the convergence speed predicted by the continuous analysis.