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Superconducting axisymmetric finite elements based on a gauged potential variational principle—II. Solution and numerical results 基于测量电位变分原理的超导轴对称有限元2。解和数值结果
Computing Systems in Engineering Pub Date : 1994-06-01 DOI: 10.1016/0956-0521(94)90002-7
James J. Schuler, Carlos A. Felippa
{"title":"Superconducting axisymmetric finite elements based on a gauged potential variational principle—II. Solution and numerical results","authors":"James J. Schuler,&nbsp;Carlos A. Felippa","doi":"10.1016/0956-0521(94)90002-7","DOIUrl":"https://doi.org/10.1016/0956-0521(94)90002-7","url":null,"abstract":"<div><p>Part II of a two part paper discusses an incremental-iterative nonlinear solution technique for solving the nonlinear finite element equations of the superconducting state of a superconductor. The untreated equations are highly ill-conditioned and are impossible to solve within the typical 16-place double precision supplied by most computers. A combination of matrix scaling and mesh grading techniques is used to reduce the condition number of the tangent stiffness matrix and increase the accuracy of the current carrying boundary layer representation. Numerical results for a one-dimensional model of a time-independent superconductor treated by the Ginzburg-Landau model are presented and discussed. The computed solutions clearly display the Meissner effect of magnetic field expulsion from the central region of the superconductor. These results are compared to the physics of a low-viscosity fluid problem. From this analogy, a physical argument is advanced about the macroscopic behavior of superconductors.</p></div>","PeriodicalId":100325,"journal":{"name":"Computing Systems in Engineering","volume":"5 3","pages":"Pages 227-237"},"PeriodicalIF":0.0,"publicationDate":"1994-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0956-0521(94)90002-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91754254","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Superconducting axisymmetric finite elements based on a gauged potential variational principle—II. Solution and numerical results 基于测量电位变分原理的超导轴对称有限元2。解和数值结果
Computing Systems in Engineering Pub Date : 1994-06-01 DOI: 10.1016/0956-0521(94)90002-7
J. Schuler, C. Felippa
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引用次数: 2
Boundary element analysis on vector and parallel computers 矢量与并行计算机的边界元分析
Computing Systems in Engineering Pub Date : 1994-06-01 DOI: 10.1016/0956-0521(94)90003-5
J.H. Kane
{"title":"Boundary element analysis on vector and parallel computers","authors":"J.H. Kane","doi":"10.1016/0956-0521(94)90003-5","DOIUrl":"10.1016/0956-0521(94)90003-5","url":null,"abstract":"<div><p>Boundary element analysis (BEA) can be characterized as a numerical technique that generally shifts the computational burden in the analysis toward numerical integration and the solution of nonsymmetric and either dense or blocked sparse systems of algebraic equations. Researchers have explored the concept that the fundamental characteristics of BEA can be exploited to generate effective implementations on vector and parallel computers. In this paper, the results of some of these investigations are discussed. The performance of overall algorithms for BEA on vector supercomputers, massively data parallel single instruction multiple data (SIMD), and relatively fine grained distributed memory multiple instruction multiple data (MIMD) computer systems is described. Some general trends and conclusions are discussed, along with indications of future developments that may prove fruitful in this regard.</p></div>","PeriodicalId":100325,"journal":{"name":"Computing Systems in Engineering","volume":"5 3","pages":"Pages 239-252"},"PeriodicalIF":0.0,"publicationDate":"1994-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0956-0521(94)90003-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76063616","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 14
A new method for failure prediction of SR-200 beryllium sheet structures SR-200铍片结构失效预测新方法
Computing Systems in Engineering Pub Date : 1994-06-01 DOI: 10.1016/0956-0521(94)90007-8
P. Papados, P. Roschke
{"title":"A new method for failure prediction of SR-200 beryllium sheet structures","authors":"P. Papados, P. Roschke","doi":"10.1016/0956-0521(94)90007-8","DOIUrl":"https://doi.org/10.1016/0956-0521(94)90007-8","url":null,"abstract":"","PeriodicalId":100325,"journal":{"name":"Computing Systems in Engineering","volume":"1 1","pages":"285-293"},"PeriodicalIF":0.0,"publicationDate":"1994-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76346278","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Parallelization of a multilevel domain decomposition method 并行化的多层域分解方法
Computing Systems in Engineering Pub Date : 1994-06-01 DOI: 10.1016/0956-0521(94)90004-3
Y. Escaig, G. Touzot, M. Vayssade
{"title":"Parallelization of a multilevel domain decomposition method","authors":"Y. Escaig, G. Touzot, M. Vayssade","doi":"10.1016/0956-0521(94)90004-3","DOIUrl":"https://doi.org/10.1016/0956-0521(94)90004-3","url":null,"abstract":"","PeriodicalId":100325,"journal":{"name":"Computing Systems in Engineering","volume":"152 1","pages":"253-263"},"PeriodicalIF":0.0,"publicationDate":"1994-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77289415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 16
Solving large scale problems in mechanics 解决大规模的力学问题
Computing Systems in Engineering Pub Date : 1994-06-01 DOI: 10.1016/0956-0521(94)90009-4
J.L. Meek
{"title":"Solving large scale problems in mechanics","authors":"J.L. Meek","doi":"10.1016/0956-0521(94)90009-4","DOIUrl":"https://doi.org/10.1016/0956-0521(94)90009-4","url":null,"abstract":"","PeriodicalId":100325,"journal":{"name":"Computing Systems in Engineering","volume":"5 3","pages":"Page 295"},"PeriodicalIF":0.0,"publicationDate":"1994-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0956-0521(94)90009-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91754222","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An optimized computer implementation of incomplete Cholesky factorization 不完全Cholesky分解的优化计算机实现
Computing Systems in Engineering Pub Date : 1994-06-01 DOI: 10.1016/0956-0521(94)90005-1
N. Bitoulas, M. Papadrakakis
{"title":"An optimized computer implementation of incomplete Cholesky factorization","authors":"N. Bitoulas, M. Papadrakakis","doi":"10.1016/0956-0521(94)90005-1","DOIUrl":"https://doi.org/10.1016/0956-0521(94)90005-1","url":null,"abstract":"","PeriodicalId":100325,"journal":{"name":"Computing Systems in Engineering","volume":"57 1","pages":"265-274"},"PeriodicalIF":0.0,"publicationDate":"1994-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83864226","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 20
Superconducting axisymmetric finite elements based on a gauged potential variational principle—I. Formulation 基于量变分原理的超导轴对称有限元——ⅰ。配方
Computing Systems in Engineering Pub Date : 1994-06-01 DOI: 10.1016/0956-0521(94)90001-9
James J. Schuler, Carlos A. Felippa
{"title":"Superconducting axisymmetric finite elements based on a gauged potential variational principle—I. Formulation","authors":"James J. Schuler,&nbsp;Carlos A. Felippa","doi":"10.1016/0956-0521(94)90001-9","DOIUrl":"https://doi.org/10.1016/0956-0521(94)90001-9","url":null,"abstract":"<div><p>The present work is part of a research program for the numerical simulation of electromagnetic (EM) fields within conventional Ginzburg-Landau (GL) superconductors. The final goal of this research is to formulate, develop and validate finite element (FE) models that can accurately capture electromagnetic, thermal and material phase changes in a superconductor. The formulations presented here are for a time-independent Ginzburg-Landau superconductor and are derived from a potential-based variational principle.</p><p>In Part I of this paper, we develop an appropriate variational formulation of time-independent superconductivity for the general three-dimensional case and specialize it to the one-dimensional case. Also developed are expressions for the material-dependent parameters α and β of GL theory and their dependence upon the temperature <span><math><mtext>T</mtext></math></span>. The one-dimensional formulation is then discretized for finite element purposes and the first variation of these equations is obtained. The resultant Euler equations contain nonlinear terms in the primary variables. To solve these equations, an incremental-iterative solution method is used. Expressions for the internal force vector, external force vector, loading vector and tangent stiffness matrix are therefore developed for use with the solution procedure.</p></div>","PeriodicalId":100325,"journal":{"name":"Computing Systems in Engineering","volume":"5 3","pages":"Pages 215-225"},"PeriodicalIF":0.0,"publicationDate":"1994-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0956-0521(94)90001-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91754219","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
An optimized computer implementation of incomplete Cholesky factorization 不完全Cholesky分解的优化计算机实现
Computing Systems in Engineering Pub Date : 1994-06-01 DOI: 10.1016/0956-0521(94)90005-1
N. Bitoulas, M. Papadrakakis
{"title":"An optimized computer implementation of incomplete Cholesky factorization","authors":"N. Bitoulas,&nbsp;M. Papadrakakis","doi":"10.1016/0956-0521(94)90005-1","DOIUrl":"https://doi.org/10.1016/0956-0521(94)90005-1","url":null,"abstract":"<div><p>Preconditioning techniques based on incomplete Cholesky factorization are very efficient in increasing the convergence rates of basic iterative methods. Complicated addressings and high demands for auxiliary storage, or increased factorization time, have reduced their appeal as general purpose preconditioners. In this study an elegant computational implementation is presented which succeeds in reducing both computing storage and factorization time. The proposed implementation is applied to two incomplete factorization schemes. The first is based on the rejection of certain terms according to their magnitude, while the second is based on a rejection criterion relative to the position of the zero terms of the coefficient matrix. Numerical results demonstrate the superiority of the proposed preconditioners over other types of preconditioning matrices, particularly for ill-conditioned problems. They also show their efficiency for large-scale problems in terms of computer storage and CPU time, over a direct solution method using the skyline storage scheme.</p></div>","PeriodicalId":100325,"journal":{"name":"Computing Systems in Engineering","volume":"5 3","pages":"Pages 265-274"},"PeriodicalIF":0.0,"publicationDate":"1994-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0956-0521(94)90005-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91754218","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 20
Applications of Artificial Intelligence in Engineering VII: Edited by D. E. Grierson and R. A. Adey 人工智能在工程中的应用:D. E. Grierson和R. A. Adey主编
Computing Systems in Engineering Pub Date : 1994-06-01 DOI: 10.1016/0956-0521(94)90008-6
B. Kumar
{"title":"Applications of Artificial Intelligence in Engineering VII: Edited by D. E. Grierson and R. A. Adey","authors":"B. Kumar","doi":"10.1016/0956-0521(94)90008-6","DOIUrl":"https://doi.org/10.1016/0956-0521(94)90008-6","url":null,"abstract":"","PeriodicalId":100325,"journal":{"name":"Computing Systems in Engineering","volume":"19 1","pages":"295"},"PeriodicalIF":0.0,"publicationDate":"1994-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80506074","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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