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On preconditioning strategies for geotechnics C.E. Augarde
 

Summary: On preconditioning strategies for geotechnics
C.E. Augarde
School of Engineering, University of Durham, UK
A. Ramage
Department of Mathematics, University of Strathclyde, UK
J. Staudacher
School of Engineering, University of Durham, UK
Keywords: preconditioning, elasticity, iterative solvers
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.
1 Introduction
Numerical modelling in geotechnics is overwhelmingly dominated by the use of finite element (FE)
methods. They have proved to be robust, relatively easy to use and are available in commercial
software, with attractive GUIs. As FE software has improved, so have the ambitions of users. For a

  

Source: Augarde, Charles - School of Engineering, University of Durham

 

Collections: Engineering