# finite element algorithms

Real-time prediction of brain shift using nonlinear finite element algorithms

FREE-DOWNLOAD [PDF] G Joldes, A Wittek, M Couton, S Warfield Image Computing and , 2009

An additive Schwarz algorithm for two-and three-dimensional finite element elliptic problems

In this paper, we present an additive variant of the Schwarz alternating method for finite element approximations of two and three dimensional elliptic problems with mixed boundary conditions. We establish that the rate of convergence of this method is optimal even when

Moving finite elements

finite . A MOVING MESH FINITE ELEMENT ALGORITHM FOR. CiteSeer We have developed a numerical model for simulating the deformation behavior of elastic sheet materials based on the moving finite elements MFE. The

Parallel finite element analysis using Jacobi-conditioned conjugate gradient algorithm

In this paper a modified parallel Jacobi-conditioned conjugate gradient (CG) method is proposed for solving linear elastic finite element system of equations. The conventional element -by- element and diagonally conditioned approaches are discussed with respect to

A direct finite element implementation of the gradient-dependent theory

The details of the finite element implementation of the proposed algorithm are thoroughly dis- cussed in Section 5. The non-local continuum and consistent tangent stiffnesses are derived in Section 6. Section 7 describes the results of shear band simulations, demonstrating

Finite element valuation of swing options

the initial spot prices. A comparison of the Finite Element algorithm to Monte Carlo and lattice methods demonstrates the strengths of the proposed numerical algorithm time problem. 3 Finite Element pricing algorithm In the

Using a reduced number of Lagrange multipliers for assembling parallel incomplete field finite element approximations

Finally, we assess the performance of the computational hybrid algorithm developed with the large-scale finite element static analysis of the Solid Rocket Booster (SRB) on a 4 processor CRAY Y-MP; we demonstrate that for that problem, our algorithm outperforms the fastest of

Domain splitting algorithm for mixed finite element approximations to parabolic problems

In this paper we fromulate and study a domain decomposition algorithm for solving mixed finite element approximations to parabolic initial-boundary value problems. In contrast to the usual overlapping domain decomposition method this technique leads to noniterative

On the implementation of the k-epsilon turbulence model in incompressible flow solvers based on a finite element discretization

This paper presents a de- tailed numerical study of the k − ε model as implemented in an unstructured grid finite element code. The pro- posed algorithm combines and extends some useful ideas found in the literature (Grotjans and Menter; Codina and Soto; Medic

Finite element modelling in structural and petroleum geology

Facult des Sciences Appliqu es Finite Element Modelling in Structural and Petroleum Geology par Also, a 2D automatic adaptive re-meshing algorithm is developed for complex multidomains configurations, in order to overcome the limitation of the Lagrangian mesh

A convergent reinforcement learning algorithm in the continuous case: the finite - element reinforcement learning

This paper presents a direct reinforcement learning algorithm , called Finite - Element Reinforcement Learning, in the continuous case, ie continuous state-space and time. The evaluation of the value function enables the generation of an optimal policy for rein- forcement control problems, such

Selected topics in finite element methods

51 5.1. The model problem 51 5.2. Iterative methods 52 5.3. The multigrid V-cycle algorithm 55 5.4. The finite element multigrid V-cycle algorithm 61 iii Page 4. iv CONTENTS 5.5. The full multigrid and work estimate 62 5.6. The adaptive multigrid method 64 5.7. Exercises 65

A multilevel k way partitioning algorithm for finite element meshes using competing ant colonies

The self organizing properties of ant colonies are employed to tackle the classical combinatorial optimization problem of graph partitioning. Structural information from the graph is mapped onto an environment upon which a number of colonies compete for

An implicit finite element cavitation algorithm

This paper describes an implicit ﬁnite element cavitation algorithm . The cavitation problem is formulated using the complementarity form. By using the complementarity formulation, the ﬂuid pressure in the non-cavitation region and the density of the airlﬂuid mixture in the

Algorithm For Solving Maxwells Equations

a point-matched time domain finite element method . All of these new methods make use of the conforming ability of the finite - element method to approximate physical boundaries more accurately. This letter proposes a modified form of the finite -difference algorithm , with a

An optimal dynamic load balancing algorithm

Finite element calculation is one such example. For other applications where the parallelism is ﬁne grained and the load changes rapidly every iteration, an asychronous diffusion type algorithm be more suitable because the cost of sychronisation can be too expensive

A physically based, two-dimensional, finite -difference algorithm for modeling variably saturated flow

Panday et al. (1993) discussed recent advances in finite - element modeling techniques for variably saturated flow problems. The objective of the present work is to develop and present a computationally simple and efficient finite -difference algorithm that can solve a wide variety

Analysis of the Schwarz algorithm for mixed finite elements methods

741 solution. The method fits the genera! strategy of the product it rative method proposed in [ 2 28], which is designed for elliptic problems. However, due to the saddle point property of the mixed finite element method, the product algorithm can not be applied directly here

Spectral finite element and genetic algorithm for crack detection in cantilever rod

Key Engineering Materials Vols. 204-205 (2001) pp 241-250 (2001) Trans Tech Publications, Switzerland doi:10.4028/www. scientific.net/KEM. 204-205.241 SPECTRAL FINITE ELEMENT AND GENETIC ALGORITHM FOR CRACK DETECTION IN CANTILEVER ROD

Multi-stage finite element algorithm for excavation in elastoplastic soils