OPTIMUM DESIGN WITH FINITE-ELEMENTS - DESIGN OF ELECTROCHEMICAL MACHINING

被引：8

作者：

BUTT, R

机构：

[1] Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1993年 / 47卷 / 02期

关键词：

OPTIMAL SHAPES; ELECTROCHEMICAL MACHINING PROBLEMS; CONVEXITY; GRADIENT METHOD; FINITE-ELEMENT METHOD; APPROXIMATION; SOBOLEV SPACES; VARIATIONAL FORMULATION;

D O I：

10.1016/0377-0427(93)90002-S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An electrochemical machining moving boundary problem is formulated, which is designed by the techniques of optimal control descretized with triangular finite elements of degree one; the gradient of the criteria as a function of coordinates moving nodes is computed, and the performance criterion is then minimized by a gradient method.

引用

页码：151 / 165

页数：15

共 8 条

[1]

Angrand, Numerical method for optimal shape design in aerodynamics, Thèse du 3ème cycle, (1980)

[2]

Butt, Optimal shape design for differential inequalities, Ph.D. Thesis, (1988)

[3]

Ciarlet, The Finite Element Method for Elliptic Problems, Stud. Math. Appl., 4, (1979)

[4]

Glowinski, Lions, Tremolieres, Numerical Analysis of Variational Inequalities, Stud. Math. Appl., 8, (1981)

[5]

Lions, Some topics on variational inequalities and applications, New Developments in Differential Equations, 21, pp. 1-38, (1976)

[6]

Pironneau, Optimal Shape Design for Elliptic Systems, (1984)

[7]

Saguez, Contrôle d'un système gouverné par une inequation variationnelle parabolique

[8]

observation de domaine de contact, C.R. Acad. Sci. Paris Sér. I. Math., 287, pp. 955-957, (1979)

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