On preconditioning strategies for geotechnics

نویسندگان

  • C. E. Augarde
  • A. Ramage
  • J. Staudacher
چکیده

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.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Robust Preconditioned Iterative So- lution Methods for Large-scale Non- symmetric Problems

We study robust, preconditioned, iterative solution methods for largescale linear systems of equations, arising from different applications in geophysics and geotechnics. The first type of linear systems studied here, which are dense, arise from a boundary element type of discretization of crack propagation in brittle material. Numerical experiment show that simple algebraic preconditioning str...

متن کامل

On Preconditioning Schur Complement and Schur Complement Preconditioning

We study two implementation strategies to utilize Schur complement technique in multilevel recursive incomplete LU preconditioning techniques (RILUM) for solving general sparse matrices. The first strategy constructs a RILUM to precondition the original matrix. The second strategy solves the first Schur complement matrix using the lower level parts of the RILUM as the preconditioner. We discuss...

متن کامل

Investigating the role of acute and repeated stress on remote ischemic preconditioning-induced cardioprotection

Objective(s): To study the effect of acute and repeated stress on cardioprotection-induced by remote ischemic preconditioning (RIPC).Materials and Methods: RIPC was induced by giving 4 short cycles of ischemia and reperfusion, each consisting of five min. The Langendorff’s apparatus was used to perfuse the isolated rat hearts by subjecti...

متن کامل

Preconditioning strategies to enhance physical performance on the day of competition.

Sports scientists and strength and conditioning professionals spend the majority of the competition season trying to ensure that their athletes' training and recovery strategies are appropriate to ensure optimal performance on competition day. However, there is an additional window on the day of competition where performance can be acutely enhanced with a number of preconditioning strategies. T...

متن کامل

Effect of endogenous nitric oxide on cardiac ischemic preconditioning in rat

Introduction: Ischemic Preconditioning (IPC) is the phenomen that happens on the heart by one or several short periods of ischemia followed by reperfusion that improve the postischemic recovery of mechanical function. Ischemic preconditioning (IPC) may protect the heart from ischemia reperfusion injury by nitric oxide formation. This study investigated the effect of ischemic preconditioni...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005