Pii: S0168-9274(01)00181-7
نویسندگان
چکیده
An energy-preserving explicit extension operator is proposed to extend finite element functions defined on the boundary of a star-shaped polygonal domain into its interior. The pre-assigned finite element triangulation in the interior of the domain needs not be multilevel-structured. The extension operator has wide applications in the construction of non-overlapping domain decomposition methods and fictitious domain methods. 2002 IMACS. Published by Elsevier Science B.V. All rights reserved.
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Pii: S0168-9274(01)00134-9
A postprocessing technique to improve the accuracy of Galerkin methods, when applied to dissipative partial differential equations, is examined in the particular case of very smooth solutions. Pseudospectral methods are shown to perform poorly. This performance is studied and a refined postprocessing technique is proposed. 2002 IMACS. Published by Elsevier Science B.V. All rights reserved.
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We present in this paper optimal and accelerated row projection algorithms arising from the use of quadratic programming, that allow us to define the iterate xk+1 as the projection of x onto a hyperplane which minimizes its distance to the solution x∗. These algorithms also use a novel partition strategy into blocks based on sequential estimations of their condition numbers. 2001 IMACS. Publi...
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The aim of this work is to present a nonstandard linear finite element method for a planar elasticity problem. The error for the solution computed with this method is estimated with respect to H 1 ×H 1-norm and second-order convergence is shown. 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.
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We consider the parallel computation of the stationary probability distribution vector of ergodic Markov chains with large state spaces by preconditioned Krylov subspace methods. The parallel preconditioner is obtained as an explicit approximation, in factorized form, of a particular generalized inverse of the generator matrix of the Markov process. Graph partitioning is used to parallelize the...
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In the present paper we are concerned with boundary-value problems (BVP) for the generalized Emden–Fowler equations. Asymptotic expansions of the solution are obtained near the endpoints. We use a finite-difference scheme to approximate the solution and the convergence is accelerated by means of extrapolation methods. A variable substitution is introduced to diminish the effect of the singulari...
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