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Synopsis
Michael A. Matt constructs two trivariate local Lagrange interpolation methods which yield optimal approximation order and Cr macro-elements based on the Alfeld and the Worsey-Farin split of a tetrahedral partition. The first interpolation method is based on cubic C1 splines over type-4 cube partitions, for which numerical tests are given. The second is the first trivariate Lagrange interpolation method using C2 splines. It is based on arbitrary tetrahedral partitions using splines of degree nine. The author constructs trivariate macro-elements based on the Alfeld split, where each tetrahedron is divided into four subtetrahedra, and the Worsey-Farin split, where each tetrahedron is divided into twelve subtetrahedra, of a tetrahedral partition. In order to obtain the macro-elements based on the Worsey-Farin split minimal determining sets for Cr macro-elements are constructed over the Clough-Tocher split of a triangle, which are more variable than those in the literature.
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About the Author
Dr. Michael A. Matt completed his doctoral thesis under the supervision of Prof. Dr. Günther Nürnberger at the Chair of Mathematics IV, University of Mannheim.
From the Back Cover
Michael A. Matt constructs two trivariate local Lagrange interpolation methods which yield optimal approximation order and Cr macro-elements based on the Alfeld and the Worsey-Farin split of a tetrahedral partition. The first interpolation method is based on cubic C1 splines over type-4 cube partitions, for which numerical tests are given. The second is the first trivariate Lagrange interpolation method using C2 splines. It is based on arbitrary tetrahedral partitions using splines of degree nine. The author constructs trivariate macro-elements based on the Alfeld split, where each tetrahedron is divided into four subtetrahedra, and the Worsey-Farin split, where each tetrahedron is divided into twelve subtetrahedra, of a tetrahedral partition. In order to obtain the macro-elements based on the Worsey-Farin split minimal determining sets for Cr macro-elements are constructed over the Clough-Tocher split of a triangle, which are more variable than those in the literature.
"About this title" may belong to another edition of this title.
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Trivariate local lagrange interpolation and macro-elements of arbitrary smoothness.
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Wiesbaden, Springer Spektrum., 2012
ISBN 10: 383482383X
ISBN 13: 9783834823830
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Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness
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Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness (Paperback)
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Springer Fachmedien Wiesbaden, Weisbaden, 2012
ISBN 10: 383482383X
ISBN 13: 9783834823830
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Paperback. Condition: new. Paperback. Michael A. Matt constructs two trivariate local Lagrange interpolation methods which yield optimal approximation order and Cr macro-elements based on the Alfeld and the Worsey-Farin split of a tetrahedral partition. The first interpolation method is based on cubic C1 splines over type-4 cube partitions, for which numerical tests are given. The second is the first trivariate Lagrange interpolation method using C2 splines. It is based on arbitrary tetrahedral partitions using splines of degree nine. The author constructs trivariate macro-elements based on the Alfeld split, where each tetrahedron is divided into four subtetrahedra, and the Worsey-Farin split, where each tetrahedron is divided into twelve subtetrahedra, of a tetrahedral partition. In order to obtain the macro-elements based on the Worsey-Farin split minimal determining sets for Cr macro-elements are constructed over the Clough-Tocher split of a triangle, which are more variable than those in the literature. The author constructs trivariate macro-elements based on the Alfeld split, where each tetrahedron is divided into four subtetrahedra, and the Worsey-Farin split, where each tetrahedron is divided into twelve subtetrahedra, of a tetrahedral partition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783834823830
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Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness
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Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness
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Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness
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Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness
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Trivariate Local Lagrange Interpolation and Macro-Elements of Arbitrary Smoothness
Published by
Springer Fachmedien Wiesbaden, 2012
ISBN 10: 383482383X
ISBN 13: 9783834823830
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Softcover
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Condition: New. Constructs two trivariate local Lagrange interpolation methods which yield optimal approximation order and Cr macro-elements based on the Alfeld and the Worsey-Farin split of a tetrahedral partition. Num Pages: 370 pages, 85 black & white illustrations, 2 colour illustrations, 12 black & white tables, biograph. BIC Classification: PBW. Category: (P) Professional & Vocational. Dimension: 210 x 148 x 20. Weight in Grams: 500. . 2012. Paperback. . . . . Seller Inventory # V9783834823830
Quantity: 15 available
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Trivariate Local Lagrange Interpolation and Macro-Elements of Arbitrary Smoothness
Published by
Springer Fachmedien Wiesbaden, 2012
ISBN 10: 383482383X
ISBN 13: 9783834823830
New
Softcover
Seller: Kennys Bookstore, Olney, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Constructs two trivariate local Lagrange interpolation methods which yield optimal approximation order and Cr macro-elements based on the Alfeld and the Worsey-Farin split of a tetrahedral partition. Num Pages: 370 pages, 85 black & white illustrations, 2 colour illustrations, 12 black & white tables, biograph. BIC Classification: PBW. Category: (P) Professional & Vocational. Dimension: 210 x 148 x 20. Weight in Grams: 500. . 2012. Paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9783834823830
Quantity: 15 available
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Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness
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Paperback. Condition: Brand New. 2012 edition. 370 pages. 8.25x5.75x0.75 inches. In Stock. Seller Inventory # x-383482383X
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