Titlebook: Numerical Methods for Free Boundary Problems; Proceedings of a Con P. Neittaanmäki Conference proceedings 1991 Springer Basel AG 1991 finit

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Stability of Thermocapillary Convection in Float-Zone Crystal Growthf buoyancy-driven convection in a cylinder heated from below has served as a test case for the three-dimensional problem. Here, initial results will be reported for thermocapillary convection under zero gravity. A description of the numerical method used to compute the stability bounds will also be given.

forestry

Numerical solution of coupled Navier-Stokes and Stefan equationsorresponding linear problem is obtained by means of finite element technique. Estimates for the rate of convergence of the approximate solution to the exact one are given. This method and the estimates are generalized to the case of quasistationary equations. Methods to solve nonstationary problems for Navier-Stokes and Stefan problem are given.

担忧

On approximation of the inverse one—phase Stefan problemalgorithm is derived. Its numerical implementation for bang-bang suboptimal controls is presented; particular attention is devoted to find a starting control by a local variations method. Numerical tests are given.

Yag-Capsulotomy

Penalties and Mixed Finite Element Analysis for Variational Inequalitiesarising parameters have to be adjusted in a proper way. In the present paper we discuss as well discretization by finite elements as parameter selection rules. Furthermore the iteration process for solving the discrete problems is investigated.

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Conference proceedings 1991, Finland, July 23-27, 1990. The main purpose of this conference was to provide up-to-date information on important directions of research in the field of free boundary problems and their numerical solutions. The contributions contained in this volume cover the lectures given in the conference. The

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CONE

On the convergence of solutions in problems of optimal control of variational inequality of the fourconcerned with the control of the variational inequality of the second order and describes the contact between the membrane and the two dies (. = 0). The limit procedure . → 0 which means vanishing of the plate thickness is analysed.

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