Temat: Schwarz-Christoffel - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Some quantitative evaluations on finite difference local and global results
Autorzy:: Costamagna, E.
Powiązania:: https://bibliotekanauki.pl/articles/140996.pdf
Data publikacji:: 2016
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: finite differences
Schwarz-Christoffel
static fields
Opis:: Refined Schwarz-Christoffel (SC) conformal transformations allow us to perform reliable quantitative evaluation of the accuracy of local computation of electric and magnetic fields with limited effort, which can be useful to complement well known comparisons of global results. In this paper some examples are presented for mesh point potentials obtained by means of finite difference (FD) methods, but it is possible that similar considerations will be useful in the case of finite element methods (FEM) or meshless computations too.
Źródło:: Archives of Electrical Engineering; 2016, 65, 2; 263-272
1427-4221
2300-2506
Pojawia się w:: Archives of Electrical Engineering
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Conformal mapping of the Gulf of Gdańsk onto a canonical domain
Autorzy:: Czesnik, P.P.
Prosnak, W.J.
Powiązania:: https://bibliotekanauki.pl/articles/48629.pdf
Data publikacji:: 2002
Wydawca:: Polska Akademia Nauk. Instytut Oceanologii PAN
Tematy:: Schwarz-Christoffel function
solution
conformal mapping
shoreline
Gdansk Gulf
inversion
Opis:: The paper deals with the conformal mapping of a plane, finite, simply connected domain, representing the southern segment of the Gulf of Gdańsk, enclosed from the North by a parallel, tangential to Cape Rozewie. The segment contains the Hel Peninsula. The method of double decomposition, presented in Prosnak & Cześnik (2001), is applied to the transformation of such an original domain onto a canonical one, which consists of two separate unit discs. The first decomposition concerns the domain which is split into two adjacent subdomains by means of a segment of a straight line. The second decomposition involves two holomorphic functions, each one mapping a subdomain onto a separate disc. The decomposition consists in replacing the function by a sequence of simple ones, so that the mapping is performed step-wise. Each sequence starts with the Schwarz-Christoffel function, the last step consisting in an inversion that transforms an infinite circular domain onto a disc. The data for the problem is contained in the Annex, and is represented by two sets of rectangular coordinates defining consecutive discrete points of the contours bounding the subdomains. The solution to the problem consists of:
– two sets of functions, consecutively transforming each of the subdomains;
– the numerical values of the parameters of these functions;
– a set of figures illustrating the consecutive transformations. The accuracy of the first, and of the penultimate transformation are given, because only in the case of these two functions do the unknown coefficients have to be determined by means of a suitable iterative process. The coefficients of all the remaining functions are evaluated from exact formulae. It should be recalled that the depth of the Gulf of Gdańsk varies considerably – from a few to 110 metres – the gradients of the bottom being rather large. Therefore, the domain of the solution for any mathematical problem describing the hydrodynamical phenomena occurring in the Gulf is usually taken to be three-dimensional. Nevertheless, the paper deals with the transformation of the free surface of the Gulf, assumed as plane. It should be emphasized that this assumption does not mean that the whole domain of the solution has to be regarded as plane.
Źródło:: Oceanologia; 2002, 44, 2
0078-3234
Pojawia się w:: Oceanologia
Dostawca treści:: Biblioteka Nauki

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