scholarly journals Parallelization of Perturbation Analysis: Application to Large-scale Engineering Problems

2001 ◽  
Vol 31 (4) ◽  
pp. 461-473 ◽  
Author(s):  
Raya Khanin ◽  
Matthew Cartmell
2013 ◽  
Vol 444-445 ◽  
pp. 671-675
Author(s):  
Jian Ming Zhang ◽  
Yong He

In recent three decades, the finite element method (FEM) has rapidly developed as an important numerical method and used widely to solve large-scale scientific and engineering problems. In the fields of structural mechanics such as civil engineering , automobile industry and aerospace industry, the finite element method has successfully solved many engineering practical problems, and it has penetrated almost every field of today's sciences and engineering, such as material science, electricmagnetic fields, fluid dynamics, biology, etc. In this paper, we will overview and summarize the development of the p and h-p version finite element method, and introduce some recent new development and our newest research results of the p and h-p version finite element method with quasi-uniform meshes in three dimensions for elliptic problems.


2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Daiyu Zhang ◽  
Baowei Song ◽  
Peng Wang ◽  
Yanru He

Though quite a number of multidisciplinary design optimization (MDO) architectures have been proposed for the optimal design of large-scale multidisciplinary systems, how their performance changes with the complexity of MDO problem varied is not well studied. In order to solve this problem, this paper presents a variable complexity problem which allows people to obtain a MDO problem with arbitrary complexity by specifying its changeable parameters, such as the number of disciplines and the numbers of design variables. Then four investigations are performed to evaluate how the performance of different MDO architectures changes with the number of disciplines, global variables, local variables, and coupling variables varied, respectively. Finally, the results supply guidance for the selection of MDO architectures in solving practical engineering problems with different complexity.


PLoS Genetics ◽  
2020 ◽  
Vol 16 (8) ◽  
pp. e1008947
Author(s):  
Xinyuan Dong ◽  
Yu-Ru Su ◽  
Richard Barfield ◽  
Stephanie A. Bien ◽  
Qianchuan He ◽  
...  

MRS Bulletin ◽  
1994 ◽  
Vol 19 (9) ◽  
pp. 26-32 ◽  
Author(s):  
Hans J. Scheel

The discovery of superconductivity in yttrium barium cuprate above the boiling point of liquid nitrogen by Wu et al. initiated a race in the search for higher critical temperatures (Tc) which was singular in the history of science. Since the ceramic superconducting pellets could be prepared nearly overnight and superconductivity easily demonstrated with liquid nitrogen and a levitating magnet, a great deal of effort went into garnering funds for a “new technological era.” High Tc superconductivity (HTSC) was expected to have applications in many areas of our life, be it for energy transport and high-power generators, transformers, current limiters, or for ultrafast computers and communication technology, or in medicine for NMR tomography and for SQUIDs in magnetic encephalography. Large-scale uses were also foreseen, such as levitation for trains, magnetohydrodynamic propulsion in ships, and applications for fusion reactors. Thousands of physicists and engineers searched for new materials with high Tc, and explored thin-film preparation by physical vapor deposition. In the early phase only a few scientists recognized that materials engineering problems would greatly hinder the development of applications of the cuprate superconductors. Most early efforts on HTSC went toward physical investigations of samples (crystals, layers, sheets, wires, etc.) which due to their complexity could not be reproducibly prepared, and which were not adequately characterized (see the section on Characterization). The Bi-, Tl-, and Hg-containing cuprates with Tc up to 135 K, for example, were found empirically, not by physical understanding of the HTSC phenomenon. Applications of HTSC have been limited to very specific areas, but a concerted effort should reveal opportunities for the materials research and superconductivity communities. Significant applications could be developedwhich in the long run would also benefit fundamental physical investigations of the HTSC phenomenon.


2012 ◽  
Vol 09 (01) ◽  
pp. 1240011 ◽  
Author(s):  
XIAO-WEI GAO ◽  
LINGJIE LI

In this paper, a novel linear equation solution method is proposed based on a row elimination back-substitution method (REBSM). The elimination and back-substitution procedures are carried out on individual row levels. The advantage of the proposed method is that it is much faster and requires less storage than the Gaussian elimination algorithm and, therefore, is capable of solving larger systems of equations. The method is particularly efficient for solving band diagonal sparse systems with symmetric or nonsymmetric coefficient matrices, and can be easily applied to popular numerical methods, such as the finite element method and the boundary element method. Detailed Fortran codes and examples are given to demonstrate the robustness and efficiency of the proposed method.


2021 ◽  
Vol 264 ◽  
pp. 02014
Author(s):  
Barno Salimova ◽  
Abdukhaxxor Tulyaganov ◽  
Raykhan Khakimova ◽  
Pokizakhon Muslimova

In solving the engineering problems in the practice of different specialties, in the design of roads and roads, structures, determining the physiographic conditions of the same regional areas: basin area (F), height (Z), average square difference of basin height (s), slope (J), parameters such as the length of the main channel in the basin (L), the width of the maximum water flow in the basin (V) and its depth (h), that is the determination of the calculated values of morphological indicators, performed using a large-scale map. It allows to estimate the amount of physical-geographical and morphological indicators, analyze their interrelationships, reveal the regions' physical-geographical laws, use them in hydrological calculations in the basin, and determine their values, to apply them in solving engineering problems.


1990 ◽  
Vol 8 (04) ◽  
pp. 353-356
Author(s):  
Colin S. Coleman

AbstractLarge apparent superluminal velocities are observed in nuclear jets in Active Galaxies, indicating the presence of relativistic velocities almost along the line of sight. If the flow is well collimated, as suggested by the large scale radio structure, the inferred alignment leads to difficulties with source statistics. Here a modification of the usual relativistic beam model is proposed, in which the jet is assumed to contain azimuthal (swirling) flow. Perturbation analysis is used to show that the jet is unstable to a Kelvin-Helmholtz helical standing wave, the wavelength of which increases without bound in the limit of vanishing swirl. This instability may cause a cylindrical jet to follow a helical path in space, thereby reducing the implied alignment of a superluminal source, and providing a natural interpretation of non-constant superluminal velocities.


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