منابع مشابه
Adaptive BDDC in three dimensions
The adaptive BDDC method is extended to the selection of face constraints in three dimensions. A new implementation of the BDDC method is presented based on a global formulation without an explicit coarse problem, with massive parallelism provided by a multifrontal solver. Constraints are implemented by a projection and sparsity of the projected operator is preserved by a generalized change of ...
متن کاملThree-level BDDC
BDDC (Balancing Domain Decomposition by Constraints) methods, so far developed for two levels [3, 7, 8], are similar to the balancing Neumann-Neumann algorithms. However, the BDDC coarse problem is given in terms of a set of primal constraints and the matrix of the coarse problem is generated and factored by direct solvers at the beginning of the computation. The coarse component of the precond...
متن کاملBDDC Preconditioners for Spectral Element Discretizations of Almost Incompressible Elasticity in Three Dimensions
Balancing domain decomposition by constraints (BDDC) algorithms are constructed and analyzed for the system of almost incompressible elasticity discretized with Gauss–Lobatto– Legendre spectral elements in three dimensions. Initially mixed spectral elements are employed to discretize the almost incompressible elasticity system, but a positive definite reformulation is obtained by eliminating al...
متن کاملBddc Preconditioners for Spectral Element Discretizations of Almost Incompressible Elasticity in Three Dimensions Tr2010-928
BDDC algorithms are constructed and analyzed for the system of almost incompressible elasticity discretized with Gauss-Lobatto-Legendre spectral elements in three dimensions. Initially mixed spectral elements are employed to discretize the almost incompressible elasticity system, but a positive definite reformulation is obtained by eliminating all pressure degrees of freedom interior to each su...
متن کاملAdaptive Multilevel Methods in Three Space Dimensions
We consider the approximate solution of selfadjoint elliptic problems in three space dimensions by piecewise linear finite elements with respect to a highly non–uniform tetrahedral mesh which is generated adaptively. The arising linear systems are solved iteratively by the conjugate gradient method provided with a multilevel preconditioner. Here, the accuracy of the iterative solution is couple...
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ژورنال
عنوان ژورنال: Mathematics and Computers in Simulation
سال: 2012
ISSN: 0378-4754
DOI: 10.1016/j.matcom.2011.03.014