3 edition of Mesh partitioning techniques and domain decomposition methods found in the catalog.
Mesh partitioning techniques and domain decomposition methods
Includes bibliographical references and index.
|Statement||edited by F. Magoulès.|
|Series||Saxe-Coburg publications on computational engineering|
|LC Classifications||QA402.2 .M47 2007|
|The Physical Object|
|Pagination||xiv, 352 p. :|
|Number of Pages||352|
|LC Control Number||2008378517|
C. Farhat, N. Maman, and G. Brown. Mesh partitioning for implicit computations via iterative domain decomposition: impact and optimization of the subdomain aspect ratio. International Journal for Numerical Methods in Engineering, –, CrossRef Google ScholarCited by: 1. Unfitted finite element methods, e.g., extended finite element techniques or the so-called finite cell method, have a great potential for large scale simulations, since they avoid the generation of body-fitted meshes and the use of graph partitioning techniques, two main bottlenecks for .
A number of domain partitioning techniques have been proposed in recent years to e⁄ect load balancing in parallel Þnite element analysis. The domain partitioning techniques decompose the domain of a Þnite element mesh into a number of subdomains which are distributed among. Parallel Unstructured Mesh Partitioning (CROS,EVERETT & WALSHAW) Domain Decomposition and Multilevel Methods in Diffpack (BRUASET, LANGTANGEN & ZUMBUSCH) On Object Oriented Programming Languages as a Tool for a Domain Decomposition Method with Local Adaptive Refinement (ERSLAND & ESPEDAL).
domain decomposition is a natural choice. Overlapping Schwarz methods and non-overlapping iterative substructuring methods are the two major classes of domain decomposition methods [13, 14, 15]. In this paper we only consider overlapping methods for . the proposed domain decomposition methods are presented in a uni ed framework. For symmetric schemes, it is shown that the condition number of the preconditioned system is of order O (H/h), where H and h are the mesh sizes of the coarse and ne grids respectively, which are assumed to be by:
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In this manuscript, mesh partitioning techniques and domain decomposition methods are presented in thirteen chapters. Each chapter, written by different authors, presents a state-of-the-art review of some well known methods, tech- niques and algorithms.
A bibliography is. Summary: "This volume presents both mesh partitioning techniques and domain decomposition methods. The topics covered in this book are wide ranging and demonstrate the use of mesh partitioning and domain decomposition methods in fluid mechanics, acoustics and structural mechanics."--BOOK JACKET.
partitions of the domain Ω and the problem becomes locally ill-posed. However, as shown in and, coloring techniques can be used to extend the domain decomposition method proposed above to arbitrary mesh partitions while ensuring well-posed local problems.
Alternatively, one can address general partitions of Ω by relaxing the equality ij−. Strategies of Domain Decomposition to Partition Mesh-Based Applications onto Computational Grids Beatriz Otero and Marisa Gil Abstract— In this paper, we evaluate strategies of domain decomposition in Grid environment to solve mesh-based applications.
We compare the balanced distribution strategy with unbalanced distribution strategies. Mesh Partitioning Techniques and Domain Decomposition Methods Edited by: F. Magoul`es Object Oriented Methods and Finite Element Analysis R.I.
Mackie Programming Distributed Finite Element Analysis R.I. Mackie Computer Aided Design of Cable-Membrane Structures B.H.V. Topping and P. Ivanyi´ Domain Decomposition Methods for Distributed Computing. ysis is presented. The domain decomposition method allows decomposition of large-size problem solutions to solutions of several smaller size problems.
Algorithms of domain partitioning with compute load balancing as well as direct and iterative solu-tion techniques are considered. Keywords: Finite element method, domain decomposition, partitioning, parallel. 1 IntroductionFile Size: KB. Figure 2. Partitioning phases in various decomposition approaches Exploiting Domain Knowledge to Optimize Mesh Partitioning for Multi-Scale Methods M.
Hasan Jamal1, Milind Kulkarni1, and Arun Prakash2 1 School of Electrical and Computer Engineering, Purdue University 2 Lyles School of Civil Engineering, Purdue University Ω 1 t 0 Ω 2 t 0 Ω 3 File Size: 1MB.
Parallel PHYSICA uses SPMD techniques to provide potentially high performance on a wide variety of parallel platforms. The domain decomposition method employed is to partition the computational mesh into P parts which are distributed on to P processors.
Data that is required in one partition (processor) but is calculated in another partition creates a requirement for communication between. The method, using domain decomposition ordering for multi-process parallelism and introducing block multi-color ordering for multi-thread parallel processing, attains a high convergence rate with.
dual nature of domain decomposition methods. They are solvers of linear systems keeping in mind that the matrices arise from the discretization of partial di erential operators. As for domain decomposition methods that directly address non linearities, we refer the.
Frederic Nataf. The classical Schwarz method is a domain decomposition method to solve elliptic partial differential equations in parallel. Convergence is achieved through overlap of the. An overlapping domain partitioning based on adapting nodes is presented for the meshless-type methods.
The decomposition of the domain is carried out based on the distribution of the nodes produced rather than the geometry of the problem.
A set of adaptive nodes is first generated using the dimension reduction and equidistributing along the coordinate directions with respect to arc-length Cited by: 1. In parallel computing based on finite element analysis, domain decomposition is a key technique for its preprocessing.
Generally, a domain decomposition of a mesh can be realized through partitioning of a graph which is converted from a finite element mesh. This paper discusses the method for graph partitioning and the way to actualize mesh by: 1.
number and size of subdomains during mesh decomposition. Existing partitioners like METIS  do not incorporate the necessary domain knowledge for multi-scale problems, re-sulting in poorly performing decompositions.
To circumvent this issue, domain scientists often make intuitive judgments and partition the mesh manually for multi-scale problems.
We love research, and work in the field of Domain Decomposition theory. We adore magic of mathematics and computer science, and we enjoy digging into HPC code. We share common vision and ideas, and we want people like us to join and create the worldwide Domain Decomposition community.
Mesh partitioning remains an active area of research, as various decompositions of the domain can lead to diﬀerent levels of parallelism in the resulting numerical algorithms. The Domain Decomposition Problem for Parallel Mesh Generation Despite the fact that domain decomposition is only applied before the main computation step (as.
This book presents an easy-to-read discussion of domain decomposition algorithms, their implementation and analysis. The relationship between domain decomposition and multigrid methods is carefully explained at an elementary level, and discussions of the implementation of domain decomposition methods on massively parallel super computers are also included.4/5(1).
Computational Techniques for Civil and Structural Engineering Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping Substructuring Techniques and Domain Decomposition Methods Edited by: F.
Magoulès book description - table of contents Mesh Partitioning Techniques and Domain Decomposition Methods Edited by: F. Magoulès. Two different domain decomposition methods are implemented for the parallel solution of the Poisson's equation arising in the numerical analysis of the incompressible flow problems.
The Poisson's equation is written both in terms of pressure and auxiliary potential. The Advancing-Partition Method The present method of domain decomposition is an extension of the meshing methodology incorporated in the grid generation software VGRID and is best described by first presenting the underlying grid techniques followed by their implementation for domain Size: 1MB.
In many of the popular domain decomposition methods, neighboring subdomains are not using the same type of boundary conditions, e.g. the Dirichlet-Neumann methods invented by Bjørstad and Widlund , or the two-sided optimized Schwarz methods proposed in , and one has to decide which subdomain uses which boundary by: 1.NCAR, 22 July Remarks on definition zDomain decomposition has generic and specific senses within the universe of parallel algorithms generic sense: any data decomposition (considered in contrast to task decomposition) specific sense: the domain is the domain of definition of an operator equation (differential, integral, algebraic)File Size: 2MB.overrelaxation (SOR) as well as various modern techniques, especially multigrid and domain decomposition methods.
Chapter 3 presents a detailed analysis of numerical methods for time-dependent (evolution) equations and emphasizes the very e cient so-called \time-splitting" methods. These can, in general, beFile Size: 1MB.