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Found 5152 publications

A block-circulant preconditioner for domain decomposition algorithm for the solution of the elliptic problems by second order finite elements

B. Kiss G. Molnárka

Publication Name: Computing Systems in Engineering

Publication Date: 1995-01-01

Volume: 6

Issue: 4-5

Page Range: 369-376

Description:

A preconditioned conjugate gradient domain decomposition method was given Refs 1 and 2 for the solution of a system of linear equations arising in the finite element method applied to the elliptic Dirichlet, Neumann and mixed boundary value problems. We have proved that the construction can be generalized2 for higher order finite element method. Here we give a construction and theoretical investigation of preconditioners for second order finite elements. A method and the the results of calculation is given. The presented numerical experiments show that this preconditioner works well. © 1995.

Open Access: Yes

DOI: 10.1016/0956-0521(95)00039-9

A circulant preconditioner for domain decomposition algorithm for the solution of the elliptic problems

N. A.A. Rahman B. Kiss G. Molnárka

Publication Name: Periodica Mathematica Hungarica

Publication Date: 1994-08-01

Volume: 29

Issue: 1

Page Range: 67-80

Description:

A preconditioned conjugate gradient (PCG)-based domain decomposition method was given in [11] and [12] for the solution of linear equations arising in the finite element method applied to the elliptic Neumann problem. The novelty of the proposed algorithm was that the recommended preconditioner was constructed by using symmetric-cyclic matrix. But we could give only the definitions of the entries of this cyclic matrix. Here we give a short description of this algorithm, the method of calculation of matrix entries and the results of calculation. The numerical experiments presented show, that this construction of precondition in the practice works well. © 1994 Akadémiai Kiadó.

Open Access: Yes

DOI: 10.1007/BF01876204

On the K0 factor

R. Szepeshazi

Publication Name: Periodica Polytechnica Civil Engineering

Publication Date: 1994-01-01

Volume: 38

Issue: 1

Page Range: 127-135

Description:

After presenting the significance of the K0 factor the paper discusses some aspects of the formulae for the coefficient of earth pressure at rest, mainly the well-known Jaky's equation. An improvement for the critical Jaky's assumption is introduced and a modified K0 ...φ relationship is deduced. All the formulae originating from Jaky's idea and some other continuum mechanical or speculative equations are tested against 153 measured data. The original Jaky's equation, and the ones from Vierbiczky and Matsuoka-Sakakibara were found to be the best. -from Author

Open Access: Yes

DOI: DOI not available

On the K0 factor

No authors available

Publication Name: Periodica Polytechnica Civil Engineering

Publication Date: 1994-01-01

Volume: 38

Issue: 1

Page Range: 127-135

Description:

After presenting the significance of the K0 factor the paper discusses some aspects of the formulae for the coefficient of earth pressure at rest, mainly the well-known Jaky's equation. An improvement for the critical Jaky's assumption is introduced and a modified K0 ...φ relationship is deduced. All the formulae originating from Jaky's idea and some other continuum mechanical or speculative equations are tested against 153 measured data. The original Jaky's equation, and the ones from Vierbiczky and Matsuoka-Sakakibara were found to be the best. -from Author

Open Access: No

DOI: DOI not available