Titlebook: SAGA – Advances in ShApes, Geometry, and Algebra; Results from the Mar Tor Dokken,Georg Muntingh Book 2014 Springer International Publishin

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Bisectors and Voronoï Diagram of a Family of Parallel Half-Linesrallel half-lines in .. These subjects are closely related, and have applications in CAD/CAGD and Computational Geometry.We present a new approach to determine, using Cramer’s rule and suitable elimination steps, an exact algebraic parameterization (rational or non rational) of the bisector curve of

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Isogeometric Analysis of Navier-Stokes Flow Using Locally Refinable B-Splines approach to local refinement within isogeometric analysis based on piecewise polynomials. In this work we present numerical investigations of the use of LR B-splines in isogeometric analysis of flow problems. The problems considered are based on the steady-state, incompressible Navier-Stokes equati

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Polynomial Interpolation Problems in Projective Spaces and Products of Projective LinesAm Math Soc, 2014, to appear). Moreover we completely classify linear systems with double points in general position in products of projective lines . (Laface and Postinghel, Math. Ann. 356(4):1455-1470, 2013) and we relate this to the study of secant varieties of Segre-Veronese varieties.

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Isogeometric Analysis of Navier-Stokes Flow Using Locally Refinable B-Splinesnalysis. And through representative examples, we investigate the stability of the discretizations, we study their ability to reproduce an analytical solution, and we examine their performance on a standard benchmark problem.

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Singular Zeros of Polynomial Systemsa deflated system allows to refine the solution fast and to high accuracy, since the Jacobian matrix is regular and all the usual machinery, e.g. Newton’s method or existence and unicity criteria may be applied. Standard verification methods, based e.g. on interval arithmetic and a fixed point theor

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