Optimality of grids based on a combined r-h adaptive strategy

• Autorzy: Rajagopal A. , Sivakumar S. M.
• Języki publikacji: EN

Abstrakty

EN

A critical review of earlier works on optimality of finite element grids has been made. A material force method of r-adaption to obtain optimal initial grids has been described. The study focuses on determining the configurational driving force and its convergence rate across an interior patch node for one-dimensional linear, quadratic element and two-dimensional bilinear quadrilateral elements. Numerical implementation is made on one and two-dimensional problems. Various aspects considered to define optimality in earlier works along with their predefined guidelines have also been worked out with some modifications for the material force method and it is shown that this method of adaption provides good optimal grids. The method is advantageous owing to its physical basis and mathematical vigor than earlier works. Based on the numerical studies conducted a combined adaptive strategy incorporating node disposition and mesh enrichment has been evolved to obtain an optimal mesh for a specified accuracy

Słowa kluczowe

EN

optimality of grids; finite element grids; finite element method

PL

optymalność siatki; metoda elementów skończonych

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2006
• Tom: Vol. 13, No. 2
• Strony: 247--268
• Opis fizyczny: Bibliogr. 40 poz., rys., wykr.

Twórcy

autor

Rajagopal A.

autor

Sivakumar S. M.

• Department of Civil Engineering, IIT Madras Chennai 60036,

Bibliografia

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