Ozisik, SevtapRiviere, BeatriceWarburton, Tim2018-06-192018-06-192010-05Ozisik, Sevtap, Riviere, Beatrice and Warburton, Tim. "On the Constants in Inverse Inequalities in L2." (2010) <a href="https://hdl.handle.net/1911/102161">https://hdl.handle.net/1911/102161</a>.https://hdl.handle.net/1911/102161In this paper we determine the constants in multivariate Markov inequalities in the L2-norm on an interval, a triangle and a tetrahedron. Using orthonormal polynomials, we derive explicit expression for the constants on that given 1-simplex, 2-simplex and 3-simplex. Accurate values for the constants are crucial for the correct derivation of a priori and a posteriori error estimations in adaptive computation.15 ppengTechnical reportTR10-19