Polynomial preserving recovery (PPR) was first proposed and analyzed in Zhang and Naga in SIAM J Sci Comput 26(4):1192–1213, (2005), with intensive following applications on elliptic problems. In this paper, we generalize the study of PPR to high-frequency wave propagation. Specifically, we establish the supercloseness between finite element solution and its interpolation with explicit dependen...

In David et al. (Adv Math 350:1109–1192, 2019) and Toro (Regularity of almost minimizers with free boundary. Calculus variations PDEs, 2020), the authors studied for functionals type first by Alt Caffarelli (J Reine Angew 325:105–144, 1981) (Trans Am Soc 282:431–461, 1984). this paper we study regularity to energy variable coefficients (as opposed Caffarelli, J 1981; al., Trans 1984; Adv 2019; ...

1181 Soil Sci. Soc. Am. J. 74:1181–1192 Published online 21 May 2010 doi:10.2136/sssaj2008.0065 Received 27 Feb. 2008. *Corresponding author ([email protected]). © Soil Science Society of America, 5585 Guilford Rd., Madison WI 53711 USA All rights reserved. No part of this periodical may be reproduced or transmitted in any form or by any means, electronic or mechanical, incl...

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