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IsoGeometric analysis using T-splines on two-patch geometries
Authors:L Beirão da Veiga  A Buffa  D Cho  G Sangalli
Affiliation:1. Dipartimento di Matematica, Università di Milano, Via Saldini 50, 20133 Milano, Italy;2. Istituto di Matematica Applicata e Tecnologie Informatiche del CNR, Via Ferrata, 1, 27100 Pavia, Italy;3. Dipartimento di Matematica, Università di Pavia, Via Ferrata, 1, 27100 Pavia, Italy;1. Departamento de Métodos Matemáticos, Universidade da Coruña, Campus de A Coruña, 15071, A Coruña, Spain;2. Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA;3. Department of Civil Engineering and Architecture, University of Pavia, via Ferrata 3, 27100, Pavia, Italy;4. Technische Universität München–Institute for Advanced Study, Lichtenbergstraße 2a, 85748, Garching, Germany;1. Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, USA;2. Institute of Mechanics and Advanced Materials, School of Engineering, Cardiff University, Queen’s Buildings, The Parade, Cardiff CF24 3AA, Wales, UK;3. Department of Computer Science, Brigham Young University, Provo, UT 84602, USA;4. Department of Civil and Environmental Engineering, Brigham Young University, Provo, UT 84602, USA;1. Department of Mathematics, Brigham Young University, Provo, Utah 84602, USA;2. Department of Civil and Environmental Engineering, Brigham Young University, Provo, Utah 84602, USA;3. University of Science and Technology of China, Hefei, Anhui Province 230026, PR China;4. Department of Physics and Astronomy, Brigham Young University, Provo, Utah 84602, USA
Abstract:We develop optimal approximation estimates for T-splines in the case of geometries obtained by gluing two standard tensor product patches. We derive results both for the T-spline space in the parametric domain and the mapped T-NURBS in the physical one. A set of numerical tests in complete accordance with the theoretical developments is also presented.
Keywords:
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