On the constants in hp-finite element trace inverse inequalities
نویسندگان
چکیده
منابع مشابه
On the constants in hp-finite element trace inverse inequalities
We derive inverse trace inequalities for hp-finite elements. Utilizing orthogonal polynomials, we show how to derive explicit expressions for the constants when considering triangular and tetrahedral elements. We also discuss how to generalize this technique to the general d-simplex. 2003 Elsevier Science B.V. All rights reserved.
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This work is concerned with the development of inverse-type inequalities for piecewise polynomial functions and, in particular, functions belonging to hp-finite element spaces. The cases of positive and negative Sobolev norms are considered for both continuous and discontinuous finite element functions.The inequalities are explicit both in the local polynomial degree and the local mesh size.The...
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ژورنال
عنوان ژورنال: Computer Methods in Applied Mechanics and Engineering
سال: 2003
ISSN: 0045-7825
DOI: 10.1016/s0045-7825(03)00294-9