Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: inverse problems

Sortuj według:

Ogranicz wyniki do:

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

An agent-oriented hierarchic strategy for solving inverse problems

100%

Smołka M., Schaefer R., Paszyński M., Pardo D., Álvarez-Aramberri J.

International Journal of Applied Mathematics and Computer Science

2015

tom 25

nr 3

483-498

The paper discusses the complex, agent-oriented hierarchic memetic strategy (HMS) dedicated to solving inverse parametric problems. The strategy goes beyond the idea of two-phase global optimization algorithms. The global search performed by a tree of dependent demes is dynamically alternated with local, steepest descent searches. The strategy offers exceptionally low computational costs, mainly because the direct solver accuracy (performed by the hp-adaptive finite element method) is dynamically adjusted for each inverse search step. The computational cost is further decreased by the strategy employed for solution inter-processing and fitness deterioration. The HMS efficiency is compared with the results of a standard evolutionary technique, as well as with the multi-start strategy on benchmarks that exhibit typical inverse problems' difficulties. Finally, an HMS application to a real-life engineering problem leading to the identification of oil deposits by inverting magnetotelluric measurements is presented. The HMS applicability to the inversion of magnetotelluric data is also mathematically verified.

An inverse problem for adhesive contact and non-direct evaluation of material properties for nanomechanics applications

86%

Borodich F. M., Galanov B. A., Gorb S. N., Prostov M. Y., Prostov Y. I., Suarez-Alvarez M. M.

Nanoscale Systems: Mathematical Modeling, Theory and Applications

2012

tom 1

80-92

We show how the values of the effective elastic modulus of contacting solids and the work of adhesion, that are the crucial material parameters for application of theories of adhesive contact to nanomechanics, may be quantified from a single test using a non-direct approach (the Borodich-Galanov (BG) method). Usually these characteristics are not determined from the same test, e.g. often sharp pyramidal indenters are used to determine the elastic modulus from a nanoindentation test, while the work of adhesion is determined from a different test by the direct measurements of pull-off force of a sphere. The latter measurements can be greatly affected by roughness of contacting solids and they are unstable due to instability of the load-displacement diagrams at tension. The BG method is based on an inverse analysis of a stable region of the force-displacements curve obtained from the depth-sensing indentation of a sphere into an elastic sample. Various aspects related to solving the inverse problem for adhesive contact and experimental evaluation of material properties for nanomechanics applications are discussed. It is shown that the BG method is simple and robust. Some theoretical aspects of the method are discussed and the BG method is developed by application of statistical approaches to experimental data. The advantages of the BG method are demonstrated by its application to soft polymer (polyvinylsiloxane) samples.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Nanoscale Systems: Mathematical Modeling, Theory and Applications

1 Borodich F. M.

1 Galanov B. A.

1 Gorb S. N.

1 Pardo D.

1 Paszyński M.

1 Prostov M. Y.

1 Prostov Y. I.

1 Schaefer R.

1 Smołka M.

1 Suarez-Alvarez M. M.

1 Álvarez-Aramberri J.

1 2015

1 2012

Wyniki wyszukiwania

An agent-oriented hierarchic strategy for solving inverse problems

An inverse problem for adhesive contact and non-direct evaluation of material properties for nanomechanics applications