Smooth macro-elements on Powell-Sabin-12 splits
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- by Larry L. Schumaker and Tatyana Sorokina PDF
- Math. Comp. 75 (2006), 711-726 Request permission
Abstract:
Macro-elements of smoothness $C^r$ are constructed on Powell- Sabin-$12$ splits of a triangle for all $r \ge 0$. These new elements complement those recently constructed on Powell-Sabin-$6$ splits and can be used to construct convenient superspline spaces with stable local bases and full approximation power that can be applied to the solution of boundary-value problems and for interpolation of Hermite data.References
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Additional Information
- Larry L. Schumaker
- Affiliation: Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240
- Email: s@mars.cas.vanderbilt.edu
- Tatyana Sorokina
- Affiliation: Department of Mathematics, The University of Georgia, Athens, Georgia 30602
- Received by editor(s): October 29, 2004
- Received by editor(s) in revised form: February 14, 2005
- Published electronically: December 30, 2005
- Additional Notes: The first author was supported by the Army Research Office under grant DAAD-19-99-1-0160
- © Copyright 2005 American Mathematical Society
- Journal: Math. Comp. 75 (2006), 711-726
- MSC (2000): Primary 41A15, 65M60, 65N30
- DOI: https://doi.org/10.1090/S0025-5718-05-01813-2
- MathSciNet review: 2196988