Two Simple Derivations of Universal Bounds for the C.B.S. Inequality Constant |
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| Authors: | Owe Axelsson Radim Blaheta |
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| Institution: | (1) Faculty of Mathematics and Computer Science, University of Nijmegen, Toorneiveld 1, 6525 ED Nijmegen, The Netherlands;(2) Department of Applied Mathematics, Institute of Geonics AS CR, Studentská, 1768 Ostrava, Czech Republic |
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| Abstract: | Universal bounds for the constant in the strengthened Cauchy-Bunyakowski-Schwarz inequality for piecewise linear-linear and piecewise quadratic-linear finite element spaces in 2 space dimensions are derived. The bounds hold for arbitrary shaped triangles, or equivalently, arbitrary matrix coefficients for both the scalar diffusion problems and the elasticity theory equations. |
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| Keywords: | finite element method h- and p-refinement strengthened Cauchy-Bunyakowski-Schwarz inequality |
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