Yasuhito Takahashi, Koji Fujiwara, Takeshi Iwashita et al. · IEEE Transactions on Magnetics · 2015
This paper investigates the effectiveness of a parallel finite-element method based on a domain decomposition method taking account of nonconforming mesh connection between moving and fixed parts in magnetic field analyses of rotating machines. Numerical results of interbar current analyses in a cage induction motor that verify the effectiveness of the proposed method are presented.
Cited by 26
S. Boeriu, John C. Bruch · Computer Methods in Applied Mechanics and Engineering · 2004
Cited by 3
Dan Givoli, Joseph E. Flaherty, Mark S. Shephard · International Journal of Numerical Methods for Heat & Fluid Flow · 1997
Describes a new finite element scheme for the large‐scale analysis of compressible and incompressible viscous flows. The scheme is based on a combined compressible‐ incompressible Galerkin least‐squares (GLS) space‐time variational formulation. Three‐ dimensional unstructured meshes are employed, with piecewise‐constant temporal interpolation, local time‐stepping for steady flows, and linear continuous spatial interpolation in all the variables. The scheme incorporates automatic adaptive mesh refinement, with a choice of various error indicators. It is implemented on a distributed‐memory parallel computer, and includes an automatic load‐balancing procedure. Demonstrates the ability to solve both compressible and incompressible viscous flow problems using the parallel adaptive framework via numerical examples. These include Mach 3 flow over a flat plate, and a divergence‐free buoyancy‐driven flow in a cavity. The latter is a model for the steady melt flow in a Czochralski crystal growth process.
Cited by 5
Junwei Lu, Yao Li, Chengzheng Sun et al. · 2002
This paper presents a parallel computation model for the time-periodic nonlinear electromagnetic field analysis in the frequency domain using harmonic balance finite element method (HBFEM). The proposed model, different from the traditional HBFEM technique that requires large memory and long CPU time, divides the global system matrix into a number of matrices in the frequency domain. Each computation unit has exactly the same number of elements and unknown values. The work involved in calculating the element matrices is equal, therefore the load can be well-balanced and the maximum speed-up will be M times if M processors are available (M is the number of harmonics considered in the electromagnetic field). The model is well-suited to MIMD parallel computer or multiple computers connected by local area networks.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
Cited by 4
Tadashi Yamaguchi, Yoshihiro Kawase, Shunsuke Hori et al. · 2015
We developed a 3-D parallel finite element method with prismatic edge elements for dynamic analysis of electromagnets. In this paper, the usefulness of the method is clarified through the dynamic analysis of an electromagnet behavior.
Cited by 3
Shin-ichiro Sugimoto, Masao Ogino · Keisan Rikigaku Koenkai koen ronbunshu/Keisan Rikigaku Kouenkai kouen rombunshuu · 2013
2020年頃に登場するとされているエクサスケール級スーパーコンピュータに向けて,予測されるアーキテクチヤ上で動作する大規模数値計算システムに関する基盤技術として,主に数値解析手法向けに開発されてきた階層型領域分割法の技術を応用した階層型領域分割法による大規模数値計算システムの研究開発を行っている.本稿では,主に実数向けに開発されている大規模数値計算システムを電磁場問題などに出てくる辺要素や複素数を用いた数値計算にも対応させるため,電磁場解析向けの並列有限要素解析ソルバの実装と高速化について検討する.
Cited by 0Open access
Atsuya Oishi, Shinobu Yoshimura, Genki YAGAWA · TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A · 2000
Computer simulations are about to replace experiments in various fields related to dynamic problems, such as crashworthiness of vehicles, vibration of a nuclear reactor in earthquake and ultrasonic wave propagation in solid with cracks for nondestructive evaluation. For solving such large scale problems, the parallel processing has become a key technology. In this paper, a parallel contact algorithm suitable for a domain decomposition technique is proposed, and implemented on a dynamic finite element analysis code based on an explicit time integration scheme. Parallel efficiency of the code is tested through sample analyses on a PC cluster.
Cited by 0Open access
Weijie Wang, Xiaojie Chen, Hanyu Li et al. · IEEE Transactions on Antennas and Propagation · 2018
Adaptive process of finite-element method always needs to solve a set of linear systems repeatedly. This communication proposes an accurate and efficient domain decomposition method (DDM) based on a multilevel algorithm and a coarse-level correction strategy. Our developed algorithm facilitates the adaptive refinement process utilizing dynamic coarse-level correction, exploits the hierarchical feature of the refined systems through p-type multigrid method in subdomains, then solves the lowest order system through algebraic multigrid method in auxiliary and node-based spaces. The numerical results show that with this effective coarse-level correction, the residual errors introduced by adaptive refined systems can be eliminated quickly by the DDM. Besides, optimal performance in terms of simulation time is achieved, regardless of workload imbalances during the adaptive steps. Several large-scale electromagnetic problems are analyzed for accuracy as well as performance evaluation of the proposed method.
Cited by 9
Nozomi Magome, Naoki MORITA, Shigeki Kaneko et al. · Keisan Rikigaku Koenkai koen ronbunshu/Keisan Rikigaku Kouenkai kouen rombunshuu · 2023
We aim to analyze a flapping-wing motion of a free-flight insect and have developed a new framework of s-version of finite element method (SFEM) called B-spline SFEM (BSFEM), which achieves both localized high accuracy and low computational cost. To analyze a large-scale problem such as a flapping free flight, distributed memory parallel computers are often used. In this study, we achieve parallel computing using BSFEM based on the graph structure representing the interactions between computational nodes. A strong scaling test is performed to evaluate its parallel performance.
Cited by 0Open access
Georges Sadaka, Pierre Jolivet, E. G. Charalampidis et al. · Computer Physics Communications · 2024
Cited by 1Open access
Oğuz Buhara, Erkan Erkmen, Kaan Orhan · Medical Science Monitor · 2017
BACKGROUND The purpose of this analysis was to evaluate the displacement patterns of the maxilla under parallel and rotational setbacks using the finite element method (FEM). MATERIAL AND METHODS A three-dimensional (3D) finite element model of a hemimaxilla was constructed. Through a conventional Le Fort I osteotomy, 2 and 3 mm of posterior movement in a parallel and rotational manner were simulated and the displacement pattern of the maxilla in each movement type was evaluated. RESULTS Both parallel and rotational setbacks resulted in lateral and inferior displacement of the maxillary segment. The largest inferior displacement was 3.0 mm and the largest lateral displacement was 1.84 mm. All lateral displacements in the anterior region were found to be more than 1 mm. CONCLUSIONS The results of this study may provide insight into how the maxilla tends to move during total maxillary setback surgery.
Cited by 5Open access
M. Koshiba, Kazuhiro Ooishi, Toshiaki Miki et al. · Electronics Letters · 1982
A method for the solution of the discontinuity problem of TE modes and TM modes in a dielectric slab waveguide bounded by parallel plates is described. The approach is a combination of the finite-element and the analytical method. Results are compared with those given by previous authors.
Cited by 20
M. B. Van Gijzen, T. B. Jönsthövel, C. Vuik et al. · 2013
The introduction of computed x-ray tomography in the field of structural mechanics allows for the construction of high quality, material-per-element 3D finite element meshes. The use of these meshes enables a shift from meso to micro scale analysis of composite materials like cement concrete, rocks and asphalt concrete. The computationally most demanding operation of the finite element analysis is the solution of a sequence of large linear systems. Given the size of the problem parallel computing is necessary. The properties of the matrix make the well-known Preconditioned Conjugate Gradient (PCG) algorithm the method of choice. The different materials give rise to large jumps in the material parameters, which results in a highly ill-conditioned stiffness matrix, and slow convergence of the PCG method. To address this issue, the PCG method has been enhanced with a deflation technique that uses information about the rigid body modes of the aggregates. This deflation based iterative solution technique shows an aggregate independent convergence behavior. The resulting number of iterations is bounded by the material behavior of the matrix only. In the talk we will describe the solution procedure and explain how it can be efficiently implemented on a distributed memory parallel computer. We will illustrate the performance of the deflated PCG
Cited by 0
Masao Ogino, Ryuji Shioya, Hiroshi Kanayama et al. · Keisan Rikigaku Koenkai koen ronbunshu/Keisan Rikigaku Kouenkai kouen rombunshuu · 2006
Cited by 0Open access
Amane Takei, Kouhei Murotani, Shin-ichiro Sugimoto et al. · 2016
This paper describes large-scale full-wave analyses of electromagnetic fields using numerical human body models. This is achieved by the use of the parallel finite element method with iterative domain decomposition. The numerical human body models provided by the National Institute of Information and Communications Technology (NICT) in Japan are composed of voxel data with all sides of 2mm and include skin layers, blood vessels, bones, internal organs, etc. distinguished by material properties. By using a High Performance Computing Infrastructure (HPCI), the user can evaluate the electromagnetic filed distribution inside the whole body model.
Cited by 2
Baggio, Paolo · Institutional Research Information System (Università degli Studi di Trento) · 1999
Cited by 0
WANG X., BAGGIO P., SCHREFLER, BERNHARD · Research Padua Archive (University of Padua) · 1999
This paper presents a multi-level frontal algorithm and its implementation and applications on parallel computation. A multi-frontal program is given which may be used for unsymmetric finite element matrix equations. The parallel program is developed on a cluster of workstations. The PVM (parallel virtual machine) system is used to handle communications among networked workstations. The method has advantages such as numbering of the finite element mesh in an arbitrary manner, simple programming organization, smaller core requirements and computation times. An implementation of this parallel method on workstations is discussed, the speedup and efficiency of this method being demonstrated and compared with general domain decomposition method based on band matrix methods by numerical examples.
Cited by 0
山田 外史 · Kanazawa University Repository for Academic Resources (DSpace) (Kanazawa University) · 1995
This paper presents a parallel computation model for the time-periodic nonlinear electromagnetic field analysis in the frequency domain using Harmonic Balance Finite Element Method (HBFEM). The proposed model, different from the traditional HBFEM technique that requires large memory and long CPU time, divides the global system matrix into a number of matrices in the frequency domain. Each computation unit has exactly the same number of elements and unknown values. The work involved in calculating the element matrices is equal, therefore the load can be well-balanced and the maximum speed-up will be M times if M processors are available (M is the number of harmonics considered in the electromagnetic field). The model is well-suited to MIMD parallel computer or multiple computers connected by Local Area Networks.
Cited by 0Open access
Avinash V. Navale, C. H. Solanki, V. A. Sawant · AIP conference proceedings · 2023
Cited by 0
Sadaka, Georges, Jolivet, Pierre, Charalampidis, Efstathios G. et al. · Mendeley Data · 2024
We present and distribute a parallel finite-element toolbox written in the free software FreeFEM for computing the Bogoliubov-de Gennes (BdG) spectrum of stationary solutions to one- and two-component Gross-Pitaevskii (GP) equations, in two or three spatial dimensions. The parallelization of the toolbox relies exclusively upon the recent interfacing of FreeFEM with the PETSc library. The latter contains itself a wide palette of state-of-the-art linear algebra libraries, graph partitioners, mesh generation and domain decomposition tools, as well as a suite of eigenvalue solvers that are embodied in the SLEPc library. Within the present toolbox, stationary states of the GP equations are computed by a Newton method. Branches of solutions are constructed using an adaptive step-size continuation algorithm. The combination of mesh adaptivity tools from FreeFEM with the parallelization features from PETSc makes the toolbox efficient and reliable for the computation of stationary states. Their BdG spectrum is computed using the SLEPc eigenvalue solver. We perform extensive tests and validate our programs by comparing the toolbox's results with known theoretical and numerical findings that have been reported in the literature.
Cited by 0Open access