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The h-p version of the finite element method for parabolic equations. Part I. The p-version in time

โœ Scribed by Ivo Babuska; Tadeusz Janik

Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
1000 KB
Volume
5
Category
Article
ISSN
0749-159X

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โœฆ Synopsis

The paper is the first in the series addressing the h-p version of the finite element method for parabolic equations. The h-p version is applied to both time and space variables. The present paper addresses the case when in time the p-version with one single time element is used. Error estimation is given and numerical computations are presented.

๐Ÿ“œ SIMILAR VOLUMES

The h-p version of the finite element me
The h-p version of the finite element method for parabolic equations. II. The h-p version in time
โœ Ivo Babuลก; Tadeusz Janik ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 790 KB

## Abstract The paper is the second in the series addressing the __hโ€p__ version of the finite element method for parabolic equations. The present paper addresses the case when in both variables, the spatial and time, the __hโ€p__ version is used. Error estimation is given and numerical computations

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โœ JACOB FISH; RAVI GUTTAL ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 385 KB ๐Ÿ‘ 2 views

An adaptive solver for large-scale hierarchic finite element systems has been developed. A decision-making methodology aimed at selecting an optimal solution strategy on the basis of estimated conditioning, sparsity and memory requirements for a given problem has been devised. Numerical experiments

Multilevel solution method for the p-ver
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โœ S. Foresti; G. Brussino; S. Hassanzadeh; V. Sonnad ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 577 KB

A multilevel iteration scheme is utilized in the solution of equations resulting from the p-version of the finite element method. The advantage of this approach is that it is possible to attain the speed of multigrid techniques in the solution of systems of equations without generating a sequence of

Performance of the hโ€“p version of the fi
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โœ I. Babuลกka; H. C. Elman ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 928 KB

The paper addresses the performance of square elements of type Q ( p ) and Q'(p). ( Q ( p ) and Q ' ( p ) are elements of degree p, analogous to the well-known 9-and 8-noded elements for p = 2.) The performance is analysed theoretically for the class of analytic functions. Numerical experiments conf