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Multilevel solution method for the p-version of finite elements

โœ Scribed by S. Foresti; G. Brussino; S. Hassanzadeh; V. Sonnad

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
577 KB
Volume
53
Category
Article
ISSN
0010-4655

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โœฆ Synopsis

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 nested grids on complex geometries. We compare the performance of the multilevel method with other iterative methods, and a direct method for the solution of the Poisson equation on a square with the Dirichiet boundary conditions and demonstrate the effectiveness of this approach for both sequential and parallel computation.

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## 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