FE-holomorphic operator function method for nonlinear plate vibrations with elastically added masses

Vibrations of a folded plate

— In this article, it is shown that the eigenvalues and eigenvector s o f the threedimensional linearized elasticity operator in a thin folded plate converge toward the eigenvalues and eigenvectors of a limit 2d-2d model as the thickness o fthe plates tends to 0. The convergence o f the associated stresses is also established. Resumé. — On montre dans cet article que les valeurs propres et vect...

Univalent holomorphic functions with fixed finitely many coefficients involving Salagean operator

By using generalized Salagean differential operator a newclass of univalent holomorphic functions with fixed finitely manycoefficients is defined. Coefficient estimates, extreme points,arithmetic mean, and weighted mean properties are investigated.

The Post-processed Galerkin Method Applied to Nonlinear Shell Vibrations

Continuous modified Newton’s-type method for nonlinear operator equations

A nonlinear operator equation F (x) = 0, F : H → H, in a Hilbert space is considered. Continuous Newton’s-type procedures based on a construction of a dynamical system with the trajectory starting at some initial point x0 and becoming asymptotically close to a solution of F (x) = 0 as t → +∞ are discussed. Well-posed and ill-posed problems are investigated.

A generalized conditional gradient method for nonlinear operator equations

The intention of this paper is to show the applicability of a generalized conditional gradient method for the minimization of Tikhonov-type functionals, which occur in the regularization of nonlinear inverse problems with sparsity constraints. We consider functionals of Tikhonov type where the usual quadratic penalty term is replaced by the pth power of a weighted p-norm. First of all, we analy...