Massively Parallel Multifrontal Methods for Finite Element Analysis on MIMD Computer Systems
Massively Parallel Multifrontal Methods for Finite Element Analysis on MIMD Computer Systems

Author:

Publisher:

Published: 1993

Total Pages: 18

ISBN-13:

DOWNLOAD EBOOK

The development of highly parallel direct solvers for large, sparse linear systems of equations (e.g. for finite element or finite difference models) is lagging behind progress in parallel direct solvers for dense matrices and iterative methods for sparse matrices. We describe a massively parallel (MP) multifrontal solver for the direct solution of large sparse linear systems, such as those routinely encountered in finite element structural analysis, in an effort to address concerns about the viability of scalable, MP direct methods for sparse systems and enhance the software base for MP applications. Performance results are presented and future directions are outlined for research and development efforts in parallel multifrontal and related solvers. In particular, parallel efficiencies of 25% on 1024 nCUBE 2 nodes and 36% on 64 Intel iPSCS60 nodes have been demonstrated, and parallel efficiencies of 60--85% are expected when a severe load imbalance is overcome by static mapping and dynamic load balance techniques previously developed for other parallel solvers and application codes.

The Future of Finite Element Applications on Massively Parallel Supercomputers
The Future of Finite Element Applications on Massively Parallel Supercomputers

Author:

Publisher:

Published: 1994

Total Pages: 21

ISBN-13:

DOWNLOAD EBOOK

The current focus in large scale scientific computing is upon parallel supercomputers. While still relatively unproven, these machines are being slated for production-oriented, general purpose supercomputing applications. The promise, of course, is to use massively parallel computers to venture further into scientific realisms by performing computations with anywhere from 106 to 109 grid points thereby, in principle, obtaining a deeper understanding of physical processes. In approaching this brave new world of computing with finite element applications, many technical issues become apparent. This paper attempts to reveal some of the applications-oriented issues which are facing code developers and ultimately the users of engineering and scientific applications on parallel supercomputers, but which seem to be remaining unanswered by vendors, researchers and centralized computing facilities. At risk is the fundamental way in which analysis is performed in a production sense, and the insight into physical problems which results. while at first this treatise may seem to advocate traditional register-to-register vector supercomputers, the goal of this paper is simply an attempt to point out what is missing from the massively parallel computing picture not only for production finite element applications, but also for grand challenge problems. the limiting issues for the use of FEM applications on parallel supercomputers are centered about the need for adequate disk space, archival storage, high bandwidth networks, and continued software development for mesh generation, scientific visualization, linear equation solvers and parallel input/output.

Parallel Finite Element Computations
Parallel Finite Element Computations

Author: B. H. V. Topping

Publisher:

Published: 1996

Total Pages: 328

ISBN-13:

DOWNLOAD EBOOK

Describing the main procedures for the parallelization of the finite element method for distributed memory architectures, this book is for engineers, computer scientists and mathematicians working on the application of high performance computing to finite element methods. Its procedures are applicable to distributed memory computer architectures.

The Scaled Boundary Finite Element Method
The Scaled Boundary Finite Element Method

Author: Chongmin Song

Publisher: John Wiley & Sons

Published: 2018-06-19

Total Pages: 775

ISBN-13: 1119388457

DOWNLOAD EBOOK

An informative look at the theory, computer implementation, and application of the scaled boundary finite element method This reliable resource, complete with MATLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary finite element method systematically as a general numerical procedure, providing the reader with a sound knowledge to expand the applications of this method to a broader scope. The book also presents the applications of the scaled boundary finite element to illustrate its salient features and potentials. The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation covers the static and dynamic stress analysis of solids in two and three dimensions. The relevant concepts, theory and modelling issues of the scaled boundary finite element method are discussed and the unique features of the method are highlighted. The applications in computational fracture mechanics are detailed with numerical examples. A unified mesh generation procedure based on quadtree/octree algorithm is described. It also presents examples of fully automatic stress analysis of geometric models in NURBS, STL and digital images. Written in lucid and easy to understand language by the co-inventor of the scaled boundary element method Provides MATLAB as an integral part of the book with the code cross-referenced in the text and the use of the code illustrated by examples Presents new developments in the scaled boundary finite element method with illustrative examples so that readers can appreciate the significant features and potentials of this novel method—especially in emerging technologies such as 3D printing, virtual reality, and digital image-based analysis The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation is an ideal book for researchers, software developers, numerical analysts, and postgraduate students in many fields of engineering and science.

Finite Element Methods:
Finite Element Methods:

Author: Duc Thai Nguyen

Publisher: Springer Science & Business Media

Published: 2006-07-18

Total Pages: 545

ISBN-13: 0387308512

DOWNLOAD EBOOK

Finite element methods (FEM), and its associated computer software have been widely accepted as one of the most effective general tools for solving large-scale, practical engineering and science applications. For implicit finite element codes, it is a well-known fact that efficient equation and eigen-solvers play critical roles in solving large-scale, practical engineering/science problems. Sparse matrix technologies have been evolved and become mature enough that all popular, commercialized FEM codes have already inserted sparse solvers into their software. However, a few FEM books have detailed discussions about Lanczos eigen-solvers, or explain domain decomposition (DD) finite element formulation (including detailed hand-calculator numerical examples) for parallel computing purposes. The materials from this book have been evolved over the past several years through the author's research work, and graduate courses.