Recent developments in stabilized Galerkin and collocation meshfree methods

• Autorzy: Chen J-S. , Chi S-W. , Hu H-Y.
• Języki publikacji: EN

Abstrakty

EN

Meshfree methods have been developed based on Galerkin type weak formulation and strong formulationwith collocation. Galerkin type formulation in conjunction with the compactly supported approximation functions and polynomial reproducibility yields algebraic convergence, while strong form collocationmethod with nonlocal approximation such as radial basis functions offers exponential convergence. In thiswork, we discuss rank instability resulting from the nodal integration of Galerkin type meshfree methodas well as the ill-conditioning type instability in the radial basis collocation method. We present the recentadvances in resolving these diffculties in meshfree methods, and demonstrate how meshfree methods can be applied to problems di?cult to be modeled by the conventional ?nite element methods due to their intrinsic regularity constraints.

Słowa kluczowe

EN

meshfree methods; stabilization method; collocation method; reproducing kernel; radial basis function

PL

metoda kolokacji; reprodukcja jądra; radialna funkcja bazowa

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2011
• Tom: Vol. 18, no. 1-2
• Strony: 3--21
• Opis fizyczny: Bibliogr. 53 poz., rys., tab., wykr.

Twórcy

autor

Chen J-S.

autor

Chi S-W.

autor

Hu H-Y.

• Department of Civil & Environmental Engineering University of California Los Angeles, CA 90095, USA,

Bibliografia

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