nu-spline curves for boundary geometry modeling in two-dimensional potential boundary value problems with singular corner points

• Autorzy: Zieniuk E.
• Języki publikacji: EN

Abstrakty

EN

The paper presents a new modeling method of boundary geometry in boundary value-problems by nu-spline curves. To define a smooth boundary geometry both Bezier and B-spline curves are applied. At the segment join points Bezier curves ensure continuity C1, and B-spline curves allow us to maintain continuity C2. However, the curves hinder boundary modeling with corner points. In order to weaken the continuity at segment join points nu-spline curves are proposed. These curves are combined analytically with the Green formula, thus yielding the Parametric Integral Equation System (PIES). To solve the PIES a pseudospectral method is used. The results obtained for the domains with singular corner points are compared with the corresponding non-singular ones as defined by the nu-spline curves.

Słowa kluczowe

EN

parametric integral equation system; boundary integral equation; potential problem; nu-spline

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2002
• Tom: Vol. 6, No 4
• Strony: 641--650
• Opis fizyczny: Bibliogr. 8 poz., rys., tab.

Twórcy

autor

Zieniuk E.

• Department of Mathematics and Physics, Institute of Cmputer Science, University of Bialystok, Sosnowa 64, 15-887 Bialystok, Poland

Bibliografia

• [1] Zienkiewicz O 1977 The Finite Element Methods, McGraw-Hill, London
• [2] Brebbia C A, Telles J C F andWrobel L C 1984 Boundary Element Techniques, Theory and Applications in Engineering, Spronger-Verlag, New-York
• [3] Zieniuk E 2001 Engoneering Analysis with Boundary Elements 25 (3) 185
• [4] Zieniuk E and Szczebiot R 1999 Modelling and Simulation: A Tool for the Next Millennium, 13tfl European Simulation Multiconference, Warsaw, Poland I pp. 532-537
• [5] Zieniuk E 2000 Systems Analysis Modelling Simulation Akademie 38 51
• [6] Mortenson M 1985 Geometric Modelling, John and Sons, Chichester
• [7] Szczebiot R and Zieniuk E 2001 Proc. 8th Workshop PTSK, Simulation in Research and Development, Gdansk Sobieszewo, Poland, pp. 444-450
• [8] Hartmann F 1989 Introduction to Boundary Elements - Theory and Applications, Springer-Verlag, Berlin