Dipartimento di Matematica ''F. Casorati''

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Quadrature schemes for isogeometric boundary element method with hierarchical B-splines

Tadej Kanduč, INdAM c/o Universita` di Firenze

Sala conferenze IMATI-CNR, Pavia - Tuesday, January 29, 2019 h.15:00

Abstract. In this talk I will present quadratures schemes for adaptive isogeometric boundary element method. The schemes are based on a spline quasi-interpolation operator. Local construction of the rules can readily be exploited when applied to both regular and singular integrals involving hierarchical spline shape functions. At the end I will show some error plots of the studied approximations of integrals and some 2D Laplace model problems, where the optimal order of convergence for the Galerkin solution is recovered by the proposed adaptive model.

Joint work with A. Falini, C. Giannelli and A. Sestini from University of Florence, and M. L. Sampoli from University of Siena.

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Dipartimento di Matematica ''F. Casorati''

Università degli Studi di Pavia - Via Ferrata, 5 - 27100 Pavia
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