@article{(Open Science Index):https://publications.waset.org/pdf/8347,
	  title     = {High Accuracy Eigensolutions in Elasticity for Boundary Integral Equations by Nyström Method},
	  author    = {Pan Cheng and  Jin Huang and  Guang Zeng},
	  country	= {},
	  institution	= {},
	  abstract     = {Elastic boundary eigensolution problems are converted
into boundary integral equations by potential theory. The kernels of
the boundary integral equations have both the logarithmic and Hilbert
singularity simultaneously. We present the mechanical quadrature
methods for solving eigensolutions of the boundary integral equations
by dealing with two kinds of singularities at the same time. The methods
possess high accuracy O(h3) and low computing complexity. The
convergence and stability are proved based on Anselone-s collective
compact theory. Bases on the asymptotic error expansion with odd
powers, we can greatly improve the accuracy of the approximation,
and also derive a posteriori error estimate which can be used for
constructing self-adaptive algorithms. The efficiency of the algorithms
are illustrated by numerical examples.},
	    journal   = {International Journal of Mathematical and Computational Sciences},
	  volume    = {5},
	  number    = {2},
	  year      = {2011},
	  pages     = {155 - 159},
	  ee        = {https://publications.waset.org/pdf/8347},
	  url   	= {https://publications.waset.org/vol/50},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 50, 2011},
	}