R. GRZHIBOVSKIS and S. RJASANOW
New applications of the Adaptive Cross Approximation in mechanical engineering
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.