Riv. Mat. Univ. Parma, Vol. 2, No. 1, 2011

R. GRZHIBOVSKIS and S. RJASANOW

New applications of the Adaptive Cross Approximation in mechanical engineering

Pages: 77-98
Received: 11 March 2010   
Accepted in revised form: 18 January 2011
Mathematics Subject Classification (2000): 65N38, 65N30, 74B05, 74C05, 74E30.

Keywords: Adaptive Cross Approximation, radial basis functions, incremental metal forming, composite materials.

Abstract: Three new applications of the Adaptive Cross Approximation will be reviewed. The first one is devoted to the reconstruction of the three-dimensional metal sheet surfaces obtained via incremental forming techniques by the use of the radial basis functions. In the second application, a calculation of effective elastic moduli in three-dimensional linear elasticity for highly anisotropic composite material is considered. The third application is a coupling of the Finite and Boundary Element Methods for elastic-plastic deformations arising in deep rolling processes.


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