Parallel Finite Element Operator Application: Graph Partitioning and Coloring

2011 ◽  
Author(s):  
Katharina Kormann ◽  
Martin Kronbichler
Keyword(s):  
Finite Element ◽  
Graph Partitioning ◽  
Parallel Finite Element

scholarly journals Mesh Partitioning Algorithm Based on Parallel Finite Element Analysis and Its Actualization

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Lei Zhang ◽  
Guoxin Zhang ◽  
Yi Liu ◽  
Hailin Pan
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Parallel Computing ◽  
Domain Decomposition ◽  
Graph Partitioning ◽  
Element Analysis ◽  
Element Mesh ◽  
Mesh Partitioning ◽  
Parallel Finite Element ◽  
Partitioning Algorithm

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 partitioning. Relevant softwares are introduced, and the data structure and key functions of Metis and ParMetis are introduced. The writing, compiling, and testing of the mesh partitioning interface program based on these key functions are performed. The results indicate some objective law and characteristics to guide the users who use the graph partitioning algorithm and software to write PFEM program, and ideal partitioning effects can be achieved by actualizing mesh partitioning through the program. The interface program can also be used directly by the engineering researchers as a module of the PFEM software. So that it can reduce the application of the threshold of graph partitioning algorithm, improve the calculation efficiency, and promote the application of graph theory and parallel computing.

OpenMp solvers for parallel finite element and meshless analyses

2014 ◽  
Vol 31 (1) ◽  
pp. 2-17 ◽  
Author(s):  
S.H. Ju
Keyword(s):  
Finite Element ◽  
Stiffness Matrix ◽  
Preconditioned Conjugate Gradient ◽  
Content Type ◽  
Minimum Requirement ◽  
Source Codes ◽  
Parallel Solution ◽  
Parallel Finite Element ◽  
Fortran 90 ◽  
Global Stiffness Matrix

Purpose – This paper develops C++ and Fortran-90 solvers to establish parallel solution procedures in a finite element or meshless analysis program using shared memory computers. The paper aims to discuss these issues. Design/methodology/approach – The stiffness matrix can be symmetrical or unsymmetrical, and the solution schemes include sky-line Cholesky and parallel preconditioned conjugate gradient-like methods. Findings – By using the features of C++ or Fortran-90, the stiffness matrix and its auxiliary arrays can be encapsulated into a class or module as private arrays. This class or module will handle how to allocate, renumber, assemble, parallelize and solve these complicated arrays automatically. Practical implications – The source codes can be obtained online at http//myweb.ncku.edu.tw/∼juju. The major advantage of the scheme is that it is simple and systematic, so an efficient parallel finite element or meshless program can be established easily. Originality/value – With the minimum requirement of computer memory, an object-oriented C++ class and a Fortran-90 module were established to allocate, renumber, assemble, parallel, and solve the global stiffness matrix, so that the programmer does not need to handle them directly.

Implementation of a high performance parallel finite element micromagnetics package

2004 ◽  
Vol 272-276 ◽  
pp. 693-694 ◽  
Author(s):  
W Scholz ◽  
D Suess ◽  
R Dittrich ◽  
T Schrefl ◽  
V Tsiantos ◽  
...  
Keyword(s):  
Finite Element ◽  
High Performance ◽  
Parallel Finite Element

Time-Domain Parallel Finite-Element Method for Fast Magnetic Field Analysis of Induction Motors

2013 ◽  
Vol 49 (5) ◽  
pp. 2413-2416 ◽  
Author(s):  
Yasuhito Takahashi ◽  
Tadashi Tokumasu ◽  
Masafumi Fujita ◽  
Takeshi Iwashita ◽  
Hiroshi Nakashima ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Finite Element Method ◽  
Finite Element ◽  
Time Domain ◽  
Induction Motors ◽  
Field Analysis ◽  
Magnetic Field Analysis ◽  
Parallel Finite Element ◽  
Element Method
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