Temat: boundary geometry identification

Skocz do pozycji: 1.

Tytuł:: The identification of the boundary geometry with corner points in inverse two-dimensional potential problems
Autorzy:: Zieniuk, E.
Gabrel, W.
Tematy:: inverse boundary value problem
boundary geometry identification
geometry
parametric integral equation system
finite element method
boundary element method
evolution algorithm
genetic algorithms; Pokaż więcej
Wydawca:: Politechnika Gdańska
Powiązania:: https://bibliotekanauki.pl/articles/1931586.pdf Link otwiera się w nowym oknie
Opis:: The paper presents fragment of a larger study concerning the effective methods of solving the inverse boundary value problems. The boundary value problem described here is formulated as a problem of the identification of a boundary geometry with corner points. A method using a parametric integral equations system (PIES) is proposed. PIES used in the method makes the easy modelling of the geometry with corner points possible. This effect is obtained by the application of modified splines. An evolution algorithm is used for the effective control of modifications of the boundary geometry. Some experimental tests of the efficiency of the discussed method were performed for two-dimensional inverse potential problems.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Trefftz method for polynomial-based boundary identification in two-dimensional Laplacian problems
Autorzy:: Hożejowski, L.
Tematy:: inverse geometry problem
boundary identification
Trefftz method
Laplace equation; Pokaż więcej
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Powiązania:: https://bibliotekanauki.pl/articles/280415.pdf Link otwiera się w nowym oknie
Opis:: The paper addresses a two-dimensional boundary identification (reconstruction) problem in steady-state heat conduction. Having found the solution to the Laplace equation by superpositioning T-complete functions, the unknown boundary of a plane region is approximated by polynomials of an increasing degree. The provided examples indicate that sufficient accuracy can be obtained with a use of polynomials of a relatively low degree, which allows avoidance of large systems of nonlinear equations. Numerical simulations for assessing the performance of the proposed algorithm show better than 1% accuracy after a few iterations and very low sensitivity to small data errors.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Trefftz method for an inverse geometry problem in steady-state heat conduction
Autorzy:: Hożejowski, L.
Tematy:: inverse geometry problem
boundary identification
Trefftz method
metoda Trefftza; Pokaż więcej
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Powiązania:: https://bibliotekanauki.pl/articles/122389.pdf Link otwiera się w nowym oknie
Opis:: The paper addresses a boundary identification problem in two-dimensional steady-state heat conduction. The proposed approach based on the Trefftz method allows one to reconstruct the unknown part of a regular domain boundary from the given temperature measurements on it, provided that both the temperature and heat flux on the remaining part of the boundary are known. The reconstruction of an unknown boundary is done through successive approximations with a polynomial or a truncated Fourier series. The proposed solution method, whose merit lies in the avoidance of large systems of nonlinear equations, is fast converging, accurate and numerically stable, as demonstrated in the included numerical examples.
Dostawca treści:: Biblioteka Nauki

Artykuł

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