Temat: równanie całkowe - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Optimal Shape Design for Elliptic Equations Via Bie-Methods
Autorzy:: Eppler, K.
Powiązania:: https://bibliotekanauki.pl/articles/911209.pdf
Data publikacji:: 2000
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: rozwiązanie podstawowe
równanie całkowe
optimal shape design
fundamental solution
boundary integral equation
first-order necessary condition
Opis:: A special description of the boundary variation in a shape optimization problem is investigated. This, together with the use of a potential theory for the state, result in natural embedding of the problem in a Banach space. Therefore, standard differential calculus can be applied in order to prove the Frechet-differentiability of the cost function for appropriately chosen data (sufficiently smooth). Moreover, necessary optimality conditions are obtained in a similar way as in other approaches, and are expressed in terms of an adjoint state for more regular data.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2000, 10, 3; 487-516
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: A regularized Newton method in electrical impedance tomography using shape Hessian information
Autorzy:: Eppler, K.
Harbrecht, H.
Powiązania:: https://bibliotekanauki.pl/articles/970140.pdf
Data publikacji:: 2005
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: tomografia impedancyjna
optymalizacja kształtu
brzegowe równanie całkowe
electrical impedance tomography
shape optimization
boundary integral equation
Newton type descent
Opis:: The present paper is concerned with the identification of an obstacle or void of different conductivity included in a two-dimensional domain by measurements of voltage and currents at the boundary. We employ a reformulation of the given identification problem as a shape optimization problem as proposed by Roche and Sokolowski (1996). It turns out that the shape Hessian degenerates at the given hole which gives a further hint on the ill-posedness of the problem. For numerical methods, we propose a preprocessing for detecting the barycentre and a crude approximation of the void or hole. Then, we resolve the shape of the hole by a regularized Newton method.
Źródło:: Control and Cybernetics; 2005, 34, 1; 203-225
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

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