Mathematics of Computation

Author(s): Larry L. Schumaker; Tatyana Sorokina.
Journal: Math. Comp. 75 (2006), 711-726.
MSC (2000): Primary 41A15, 65M60, 65N30
Posted: December 30, 2005
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Abstract: Macro-elements of smoothness

are constructed on Powell- Sabin-

splits of a triangle for all $r \ge 0$ . These new elements complement those recently constructed on Powell-Sabin-

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.

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Retrieve articles in Mathematics of Computation with MSC (2000): 41A15, 65M60, 65N30

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

DOI: 10.1090/S0025-5718-05-01813-2
PII: S 0025-5718(05)01813-2
Keywords: Macro-elements, stable bases, spline spaces, Powell-Sabin
Received by editor(s): October 29, 2004
Received by editor(s) in revised form: February 14, 2005
Posted: December 30, 2005
Additional Notes: The first author was supported by the Army Research Office under grant DAAD-19-99-1-0160
Copyright of article: Copyright 2005, American Mathematical Society

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