Minimization of functional majorant in a posteriori error analysis based on (div) multigrid-preconditioned CG method.
Valdman, Jan (2009)
Advances in Numerical Analysis
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Displaying similar documents to “A twisted block tangential filtering decomposition preconditioner.”
Minimization of functional majorant in a posteriori error analysis based on (div) multigrid-preconditioned CG method.
Hybrid parallelization of an adaptive finite element code
Axel Voigt, Thomas Witkowski (2010)
Kybernetika
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We present a hybrid OpenMP/MPI parallelization of the finite element method that is suitable to make use of modern high performance computers. These are usually built from a large bulk of multi-core systems connected by a fast network. Our parallelization method is based firstly on domain decomposition to divide the large problem into small chunks. Each of them is then solved on a multi-core system using parallel assembling, solution and error estimation. To make domain decomposition...
Generalizations and error analysis of the iterative operator splitting method
Tamás Ladics, István Faragó (2013)
Open Mathematics
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The properties of iterative splitting with two bounded linear operators have been analyzed by Faragó et al. For more than two operators, iterative splitting can be defined in many different ways. A large class of the possible extensions to this case is presented in this paper and the order of accuracy of these methods are examined. A separate section is devoted to the discussion of two of these methods to illustrate how this class of possible methods can be classified with respect to...
ALBERT---Software for scientific computations and applications.
Schmidt, Alfred, Siebert, K.G. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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On the accuracy of multigrid truncation error estimates.
Fulton, Scott R. (2003)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Adaptive mixed hybrid and macro-hybrid finite element methods.
Hoppe, R.H.W., Wohlmuth, B.I. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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Error estimation on the Padé approximation of transfer functions via the Lanczos process.
Bai, Zhaojun, Ye, Qiang (1998)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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On preconditioning Schur complement and Schur complement preconditioning.
Zhang, Jun (2000)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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A posteriori error estimation and adaptivity in the method of lines with mixed finite elements
Jan Brandts (1999)
Applications of Mathematics
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We will investigate the possibility to use superconvergence results for the mixed finite element discretizations of some time-dependent partial differential equations in the construction of a posteriori error estimators. Since essentially the same approach can be followed in two space dimensions, we will, for simplicity, consider a model problem in one space dimension.