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Derivations and differential operators on rings and fields Kiss, Gergely Scientific Conference (2018, June) Detailed reference viewed: 44 (0 UL)Derivations of the Lie algebras of differential operators ; Poncin, Norbert in Indagationes Mathematicae (2005), 16(2), 181--200 Detailed reference viewed: 126 (3 UL)Derivations of the Lie algebras of differential operators Poncin, Norbert Scientific Conference (2004) Detailed reference viewed: 116 (2 UL)Derivative and divergence formulae for diffusion semigroups Thalmaier, Anton ; Thompson, James in Annals of Probability (2019), 47(2), 743-773 Detailed reference viewed: 528 (110 UL)Derivative estimates of semigroups and Riesz transforms on vector bundles Thalmaier, Anton ; in Potential Analysis (2004), 20(2), 105-123 Detailed reference viewed: 289 (27 UL)Derivative recovery and a posteriori error estimate for extended finite elements Bordas, Stéphane ; in Computer Methods in Applied Mechanics and Engineering (2007), 196(35-36), 3381-3399 This paper is the first attempt at error estimation for extended finite elements. The goal of this work is to devise a simple and effective local a posteriori error estimate for partition of unity ... [more ▼] This paper is the first attempt at error estimation for extended finite elements. The goal of this work is to devise a simple and effective local a posteriori error estimate for partition of unity enriched finite element methods such as the extended finite element method (XFEM). In each element, the local estimator is the L2 norm of the difference between the raw XFEM strain field and an enhanced strain field computed by extended moving least squares (XMLS) derivative recovery obtained from the raw nodal XFEM displacements. The XMLS construction is tailored to the nature of the solution. The technique is applied to linear elastic fracture mechanics, in which near-tip asymptotic functions are added to the MLS basis. The XMLS shape functions are constructed from weight functions following the diffraction criterion to represent the discontinuity. The result is a very smooth enhanced strain solution including the singularity at the crack tip. Results are shown for two- and three-dimensional linear elastic fracture mechanics problems in mode I and mixed mode. The effectivity index of the estimator is close to 1 and improves upon mesh refinement for the studied near-tip problem. It is also shown that for the linear elastic fracture mechanics problems treated, the proposed estimator outperforms one of the superconvergent patch recovery technique of Zienkiewicz and Zhu, which is only C0. Parametric studies of the general performance of the estimator are also carried out. © 2007 Elsevier B.V. All rights reserved. [less ▲] Detailed reference viewed: 202 (6 UL)Derivative relationships between volume and surface area of compact regions in Rd Marichal, Jean-Luc ; in Rocky Mountain Journal of Mathematics (2007), 37(2), 551-571 We explore the idea that the derivative of the volume, V, of a region in R^d with respect to r equals its surface area, A, where r=d V/A. We show that the families of regions for which this formula for r ... [more ▼] We explore the idea that the derivative of the volume, V, of a region in R^d with respect to r equals its surface area, A, where r=d V/A. We show that the families of regions for which this formula for r is valid, which we call homogeneous families, include all the families of similar regions. We determine equivalent conditions for a family to be homogeneous, provide examples of homogeneous families made up of non-similar regions, and offer a geometric interpretation of r in a few cases. [less ▲] Detailed reference viewed: 41 (2 UL)Derivative relationships between volume and surface area of compact regions in Rd Marichal, Jean-Luc Presentation (2005, April 08) Detailed reference viewed: 33 (1 UL)Derivative relationships between volume and surface area of compact regions in Rd Marichal, Jean-Luc Presentation (2003, October 21) We explore the idea that the derivative of the volume, V , of a region in Rp with respect to r equals its surface area, A, where r = p V/A. We show that the families of regions for which this formula for ... [more ▼] We explore the idea that the derivative of the volume, V , of a region in Rp with respect to r equals its surface area, A, where r = p V/A. We show that the families of regions for which this formula for r is valid, which we call homogeneous families, include all the families of similar regions. We determine equivalent conditions for a family to be homogeneous, provide examples of homogeneous families made up of non-similar regions, and offer a geometric interpretation of r in a few cases. [less ▲] Detailed reference viewed: 83 (1 UL)Derivatives in Islamic Finance: Examining the Market Risk Management Framework (Book Review) Nabilou, Hossein in Banking & Finance Law Review (2016), 32(1), 203-207 Detailed reference viewed: 87 (11 UL)Derivatives of Feynman-Kac Semigroups Thompson, James in Journal of Theoretical Probability (2019) We prove Bismut-type formulae for the first and second derivatives of a Feynman-Kac semigroup on a complete Riemannian manifold. We derive local estimates and give bounds on the logarithmic derivatives of ... [more ▼] We prove Bismut-type formulae for the first and second derivatives of a Feynman-Kac semigroup on a complete Riemannian manifold. We derive local estimates and give bounds on the logarithmic derivatives of the integral kernel. Stationary solutions are also considered. The arguments are based on local martingales, although the assumptions are purely geometric. [less ▲] Detailed reference viewed: 263 (67 UL)Derived algebraic geometry over differential operators Govzmann, Alisa Doctoral thesis (2023) Detailed reference viewed: 30 (2 UL)Derived categories of (nested) Hilbert schemes Belmans, Pieter ; in Michigan Mathematical Journal (2023) Detailed reference viewed: 26 (0 UL)Derived categories of flips and cubic hypersurfaces Belmans, Pieter ; ; in Proc. Lond. Math. Soc. (3) (2022), 125(6), 1452--1482 Detailed reference viewed: 17 (0 UL)Derived categories of the Cayley plane and the coadjoint Grassmannian of type F Belmans, Pieter ; ; in Transformation Groups (2021) Detailed reference viewed: 15 (0 UL)Derived category of filtered objects Schapira, Pierre ; E-print/Working paper (2013) Detailed reference viewed: 52 (1 UL)Derived D-Geometry Poncin, Norbert Presentation (2018, September 18) Detailed reference viewed: 153 (3 UL)Derived D-Geometry and Field Theory Bonavolonta, Giuseppe Doctoral thesis (2013) Detailed reference viewed: 136 (14 UL)Derived Geometry and Applications Poncin, Norbert Presentation (2014) Detailed reference viewed: 157 (13 UL)Derived Parabolic induction Scherotzke, Sarah ; in Bulletin of the London Mathematical Society (2022), 54(1), 264-274 Detailed reference viewed: 29 (0 UL) |
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