Construction of local $C^1$ quartic spline elements for optimal-order approximation
نویسندگان
چکیده
منابع مشابه
Construction of local C1 quartic spline elements for optimal-order approximation
This paper is concerned with a study of approximation order and construction of locally supported elements for the space S 1 4 (() of C 1 pp (piecewise polynomial) functions on an arbitrary triangulation of a connected polygonal domain in R 2. It is well-known that even when is a three-directional mesh (1) , the order of approximation of S 1 4 (((1)) is only 4, not 5. The objective of this pape...
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This paper is concerned with a study of approximation order and construction of locally supported elements for the space S1 4 (∆) of C 1 pp (piecewise polynomial) functions on an arbitrary triangulation ∆ of a connected polygonal domain Ω in R2. It is well known that even when ∆ is a threedirectional mesh ∆(1), the order of approximation of S1 4(∆ (1)) is only 4, not 5. The objective of this pa...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1996
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-96-00689-8