On preconditioning strategies for geotechnics

C.E. Augarde

Research output: Contribution to conferencePoster

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Abstract

Iterative solvers are of increasing interest in geomechanics with the move towards 3D finite element modelling. Potentially, these methods can lead to reduced computational complexity as, unlike direct methods, they do not require the full system matrix to be assembled. In general, however, iterative solvers have not been widely adopted in geomechanics due to problems with convergence. This paper reviews the background to iterative methods for elastic and elasto-plastic material models. In some cases, existing numerical methods can be taken from research in the mathematics community. For other systems, further work is needed. The paper provides demonstrations of the capabilities of some strategies.
Original languageEnglish
Pages3-11
Number of pages8
Publication statusPublished - 19 Jun 2005
EventThe 11th International Conference of IACMAG - Turin, Italy
Duration: 19 Jun 200524 Jun 2005

Conference

ConferenceThe 11th International Conference of IACMAG
CityTurin, Italy
Period19/06/0524/06/05

Fingerprint

Geomechanics
Iterative methods
Computational complexity
Numerical methods
Demonstrations
Plastics

Keywords

  • preconditioning strategies
  • geotechnics
  • rock mechanics

Cite this

Augarde, C. E. (2005). On preconditioning strategies for geotechnics. 3-11. Poster session presented at The 11th International Conference of IACMAG, Turin, Italy, .
Augarde, C.E. / On preconditioning strategies for geotechnics. Poster session presented at The 11th International Conference of IACMAG, Turin, Italy, .8 p.
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Augarde, CE 2005, 'On preconditioning strategies for geotechnics', The 11th International Conference of IACMAG, Turin, Italy, 19/06/05 - 24/06/05 pp. 3-11.

On preconditioning strategies for geotechnics. / Augarde, C.E.

2005. 3-11 Poster session presented at The 11th International Conference of IACMAG, Turin, Italy, .

Research output: Contribution to conferencePoster

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T1 - On preconditioning strategies for geotechnics

AU - Augarde, C.E.

PY - 2005/6/19

Y1 - 2005/6/19

N2 - Iterative solvers are of increasing interest in geomechanics with the move towards 3D finite element modelling. Potentially, these methods can lead to reduced computational complexity as, unlike direct methods, they do not require the full system matrix to be assembled. In general, however, iterative solvers have not been widely adopted in geomechanics due to problems with convergence. This paper reviews the background to iterative methods for elastic and elasto-plastic material models. In some cases, existing numerical methods can be taken from research in the mathematics community. For other systems, further work is needed. The paper provides demonstrations of the capabilities of some strategies.

AB - Iterative solvers are of increasing interest in geomechanics with the move towards 3D finite element modelling. Potentially, these methods can lead to reduced computational complexity as, unlike direct methods, they do not require the full system matrix to be assembled. In general, however, iterative solvers have not been widely adopted in geomechanics due to problems with convergence. This paper reviews the background to iterative methods for elastic and elasto-plastic material models. In some cases, existing numerical methods can be taken from research in the mathematics community. For other systems, further work is needed. The paper provides demonstrations of the capabilities of some strategies.

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KW - rock mechanics

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M3 - Poster

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Augarde CE. On preconditioning strategies for geotechnics. 2005. Poster session presented at The 11th International Conference of IACMAG, Turin, Italy, .