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Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Konferencja
International Workshop on the Trefftz Method (2 ; 1999 ; Lisbon, Portugal)
Języki publikacji
Abstrakty
The limiting analysis problem for dielectrics in nonhomogeneous powerful electrical fields is considered. In the framework of this problem the external charges for which the appropriate electrostatical variational problem has no solution are calculated, that solution is treated as a beginning of the electrical puncture of dielectric. From the mathematical point of view the limiting analysis problem is non-correct and needs a relaxation. This is achieved using a partial relaxation based on a special discontinuous finite-element approximation.
Słowa kluczowe
Rocznik
Tom
Strony
227--234
Opis fizyczny
Bibliogr. 13, wykr.
Twórcy
autor
- North-Western State Technical University, Millionnaya Str. 5, St. Petersburg, 191186, Russia
Bibliografia
- [1] I.A. Brigadnov. Existence theorems for boundary value problems of hyperelasticity. Sbornik: Mathematics, 187(1):1-14, (1996).
- [2] I.A. Brigadnov, Numerical methods in non-linear elasticity. In: J.-A. Desideri, P. Le Tallec, E. Onate, J. Periaux, E. Stein, eds., Numerical Methods in Engineering'96, 158-163. John Wiley & Sons Ltd, Chichester , (1996).
- [3] I.A. Brigadnov, Discontinuous solutions and their finite element approximation in non-linear elasticity. In: R. Van Keer, B. Verhegghe, M. Hogge, E. Noldus, eds., Advanced Computational Methods in Engineering`98, 141-148, Maastricht, Shaker Publishing B.V., (1998).
- [4] I.A. Brigadnov. Conditions of absence of electrostatical boundary-value problem solution as the puncture conditions of dielectrics. Technical Physics, to appear, (2000).
- [5] Ph.G. Ciarlet. The Finite Element Method for Elliptic Problems. North-Holland Publ. Co., Amsterdam, (1980).
- [6] I. Ekeland, R. Temam. Convex Analysis and Variational Problems. North-Holland Publ. Co., Amsterdam, (1976).
- [7] S. Fučik, A. Kufner. Nonlinear Differential Equations. Elsevier Sci. Publ. Co., Amsterdam, (1980).
- [8] E. Giusti. Minimal Surfaces and Functions of Bounded Variations. Birkhäuser, Boston, (1984).
- [9] N.N. Mirolyubov, M.V. Kostenko, M.L. Levinstein, N.N. Tikhodeev. Solving Methods for Electrostatical Fields. Vischaya Shkola, Moscow, in Russian, (1963).
- [10] S.I. Repin. A variational-difference method for solving problems with functionals of linear growth. U.S.S.R. Comput. Math. and Math. Phys., 29(5):693-708, (1989).
- [11] I.S. Rez, Yu.M.Poplavko. Dielectrics. Main Properties and Application in Electronics. Radio & Svyaz', Moscow, in Russian, (1989).
- [12] I.E. Tamm. The Bases of the Electricity Theory. Nauka, Moscow, in Russian, (1989).
- [13] R. Temam. Problµemes Mathematiques en Plasticité. Gauthier-Villars, Paris, (1983).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0006-0040