On finite element procedures of high order accuracy for parabolic equations
Some variational methods for nonlinear mechanics
A finite element solution for plasticity with strain-hardening
Some equilibrium and mixed models in the finite element method
Jak řešit úlohy s nejistými vstupními daty?
Derivation of non-classical variational principles in the theory of elasticity
Generalized variational principles, suggested by Hu Hai-Chang and Washizu or Hellinger and Reissner respectively, are derived on the base of complementary energy respectively. Besides, a short survey of further variational theorems, which follow from the fundamental principles, and the proof of the convergence for a method based on one of them, are presented.
Reissnerovske algoritmy 1. druhu v teorii válcových skořepin
Some variational principles for nonlinear elastodynamics
Three variational principles of linear elastodynamics for two initial conditions, recentrly established by M. R. Gurtin, are extended to nonlinear problems with large elastic deformations.
Řešení ohybu kruhově desky metodou Reissnerovských algoritmů 1. druhu
Variational principles for parabolic equations
New types of variational principles, each of them equivalent to the linear mixed problem for parabolic equation with initial and combined boundary conditions having been suggested by physicists, are discussed. Though the approach used here is purely mathematical so that it makes possible application to all mixed problems of mathematical physics with parabolic equations, only the example of heat conductions is used to show the physical interpretation. The principles under consideration are of two...
Variational principles in the linear theory of elasticity for general boundary conditions
Mixed boundary-value problem of the classical theory of elasticity is considered, where not only displacements and tractions are prescribed on some parts of the boundary, but also conditions of contact and elastic supports for normal and tangential directions to the boundary surface separately. Classical variational principles are derived using functional analysis methods, especially methods of Hilbert space. Furthermore, generalized variational principles and bilateral estimates of errors are...
Sur quelques théorèmes variationnels dans la théorie du fluage linéaire
Par la méthode de transformation en problèmes équivalentes de la théorie d'élasticité, on établit deux théorèmes variationnels analogues aux principes du minimum d'énergie potentielle et de Castigliano dans la théorie d'élasticité, pour les corps homogénes isotropes tenant compte à l'hérédité et de l'âge du matérial.
Несимметричный прогиб пологой сферической оболочки с начальной деформацией под действием внешнего давления
A finite element analysis for elastoplastic bodies obeying Hencky's law
Using the Haar-Kármán principle, approximate solutions of the basic boundary value problems are proposed and studied, which consist of piecewise linear stress fields on composite triangles. The torsion problem is solved in an analogous manner. Some convergence results are proven.
Dual finite element analysis for semi-coercive unilateral boundary value problems
On a semi-variational method for parabolic equations. I
Shape optimization of elastoplastic bodies obeying Hencky's law
A minimization of a cost functional with respect to a part of the boundary, where the body is fixed, is considered. The criterion is defined by an integral of a yield function. The principle of Haar-Kármán and piecewise constant stress approximations are used to solve the state problem. A convergence result and the existence of an optimal boundary is proved.
On the existence and uniqueness of solution of the Cauchy problem for linear integro-differential equations with operator coefficients
Penalty method and extrapolation for axisymmetric elliptic problems with Dirichlet boundary conditions
A second order elliptic problem with axisymmetric data is solved in a finite element space, constructed on a triangulation with curved triangles, in such a way, that the (nonhomogeneous) boundary condition is fulfilled in the sense of a penalty. On the basis of two approximate solutions, extrapolates for both the solution and the boundary flux are defined. Some a priori error estimates are derived, provided the exact solution is regular enough. The paper extends some of the results of J.T. King...
Variational formulation of the Cauchy problem for equations with operator coefficients
Page 1 Next