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High-accuracy discretization methods for solid mechanics

Tolstykh A. I., Lipavskii M. V., Shirobokov D. A.

Archives of Mechanics

2003

Vol. 55, nr 5-6

531-553

Novel high-accuracy computational techniques for solid mechanics problems are presented. They include fourth-order and arbitrary-order finite difference methods based on Pade-type differencing formulas and a meshless method which uses radial basis functions in a "finite difference'' mode. Some results illustrating high performance of the suggested numerical methods are displayed.