Search

In this paper, we examine the influence of approximate first and/orsecond derivatives on the filter-trust-region algorithm designed forsolving unconstrained nonlinear optimization problems and proposed byGould, Sainvitu and Toint in [12]. Numericalexperiments carried out on small-scaled unconstrained problems fromthe CUTEr collection describe the effect of the use ofapproximate derivatives on the robustness and the efficiency of thefilter-trust-region method.

Estimates for the combined effect of boundaryapproximation and numerical integration on the approximation of(simple) eigenvalues and eigenvectors of 4th order eigenvalue problems with variable/constant coefficientsin convex domains with curved boundary by an isoparametric mixed finite element method, which,in the particular case of bending problems ofaniso-/ortho-/isotropic plates with variable/constant thickness, gives a simultaneous approximation to bending momenttensor field $\Psi= (\psi_{ij})_{1 \le i,j \le 2}$ anddisplacement field `u', have been developed.

Search Results

Refine search

Refine search

Actions for selected content:

2 results

How much do approximate derivatives hurt filter methods?

Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients

Search Results

Refine search

Refine search

Actions for selected content:

Save Search

2 results

How much do approximate derivatives hurt filter methods?

Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients