OpenMp solvers for parallel finite element and meshless analyses. Issue 1 (25th February 2014)

• Record Type: Journal Article
• Authors: Ju, S.H.
• Is Part Of: Engineering computations. Volume 31:Issue 1(2014)
• Page Start: 2
• Page End: 17
• Publication Date: 2014-02-25
• Subjects: Parallel -- Finite element method -- C++ -- Conjugate gradient method -- Fortran -- Object-oriented programming; Computer-aided engineering -- Periodicals; Computer graphics -- Periodicals; 620.00285
• DOI: 10.1108/EC-02-2012-0032
• Languages: English
• ISSNs: 0264-4401

Abstract

Abstract : 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 athttp//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.