Results 71 to 80 of about 274,119 (324)

Discrete Differential-Geometry Operators for Triangulated 2-Manifolds [PDF]

, 2003
This paper proposes a unified and consistent set of flexible tools to approximate important geometric attributes, including normal vectors and curvatures on arbitrary triangle meshes. We present a consistent derivation of these first and second order differential properties using averaging Voronoi cells and the mixed Finite-Element/Finite-Volume method,
Meyer, Mark, Desbrun, Mathieu, Schröder, Peter, Barr, Alan H.   +3 more
openaire   +2 more sources

Microstructural Evolution and Vacancy Defect Formation in Mn–Mo–Ni RPV Steel Under Low Cycle Fatigue: Insights From EBSD and PALS

Advanced Engineering Materials, EarlyView.
Low‐cycle fatigue damage in Mn–Mo–Ni reactor pressure vessel steel is examined using a combined electron backscatter diffraction and positron annihilation lifetime spectroscopy approach. The study correlates texture evolution, dislocation substructure development, and vacancy‐type defect formation across uniform, necked, and fracture regions, providing
Apu Sarkar, Dhanadeep Dutta, G. Bharat Reddy   +2 more
wiley   +1 more source

Eigenvalue Problem for the Second Order Differential Equation with Nonlocal

Nonlinear Analysis, 2006
The paper deals with numerical methods for eigenvalue problem for the second order ordinary differential operator with variable coefficient subject to nonlocal integral condition.
B. Bandyrskii, I. Lazurchak, V. Makarov, M. Sapagovas   +3 more
doaj   +1 more source

Differential operator for discrete Gegenbauer–Sobolev orthogonal polynomials: Eigenvalues and asymptotics [PDF]

Journal of Approximation Theory, 2018
We consider the following discrete Sobolev inner product involving the Gegenbauer weight $$(f,g)_S:=\int_{-1}^1f(x)g(x)(1-x^2)^αdx+M\big[f^{(j)}(-1)g^{(j)}(-1)+f^{(j)}(1)g^{(j)}(1)\big],$$ where $α>-1,$ $j\in \mathbb{N}\cup \{0\},$ and $M>0.$ Let $\{Q_n^{(α,M,j)}\}_{n\geq0}$ be the sequence of orthogonal polynomials with respect to the above ...
Lance L. Littlejohn, Juan F. Mañas-Mañas, Juan J. Moreno-Balcázar, Richard Wellman   +3 more
openaire   +4 more sources

Reduction of Oxide Inclusions During the High‐Frequency Welding of Steel via a Nonthermal Ar/H2 Plasma Jet

Advanced Engineering Materials, EarlyView.
High‐frequency (HF) welding of steel is limited by oxide inclusions that degrade weld quality. This study demonstrates, for the first time, the integration of a nonthermal Ar/H2 dielectric barrier discharge (DBD) plasma jet into HF welding. Local plasma treatment provides effective shielding and in‐situ oxide reduction, resulting in markedly fewer and ...
Viktor Udachin, Lienhard Wegewitz, René Gustus, Henning Wiche, Wolfgang Maus‐Friedrichs   +4 more
wiley   +1 more source

Crank-Nicolson orthogonal spline collocation method combined with WSGI difference scheme for the two-dimensional time-fractional diffusion-wave equation

Open Mathematics, 2020
In this paper, a discrete orthogonal spline collocation method combining with a second-order Crank-Nicolson weighted and shifted Grünwald integral (WSGI) operator is proposed for solving time-fractional wave equations based on its equivalent partial ...
Xu Xiaoyong, Zhou Fengying
doaj   +1 more source

Non Markovian Quantum Repeated Interactions and Measurements

, 2009
A non-Markovian model of quantum repeated interactions between a small quantum system and an infinite chain of quantum systems is presented. By adapting and applying usual pro jection operator techniques in this context, discrete versions of the integro ...
Alicki R, Attal S, Barchielli A, Bouten L, Breuer H-P, C Pellegrini, Davies E B, F Petruccione, Gambetta J, Gardiner C W, Holevo A S, Parthasarathy K R, Pellegrini C, Pellegrini C   +13 more
core   +2 more sources

Electrical Conductivities of Conductors, Semiconductors, and Their Mixtures at Elevated Temperatures

Advanced Engineering Materials, EarlyView.
This article presents a comprehensive review of temperature‐dependent electrical conductivity data for multiple material classes at elevated temperatures, highlighting a persistent conductivity gap between metals and semiconductors in the range of 102$\left(10\right)^{2}$– 107$\left(10\right)^{7}$ S/m. Metal–ceramic irregular metamaterials are proposed
Valentina Torres Nieto, Marcia A. Cooper
wiley   +1 more source

HAM-Based Adaptive Multiscale Meshless Method for Burgers Equation

Journal of Applied Mathematics, 2013
Based on the multilevel interpolation theory, we constructed a meshless adaptive multiscale interpolation operator (MAMIO) with the radial basis function.
Shu-Li Mei
doaj   +1 more source

A Real Space Renormalization Group Approach to Field Evolution Equations

, 2001
A new operator formalism for the reduction of degrees of freedom in the evolution of discrete partial differential equations (PDE) via real space Renormalization Group is introduced, in which cell-overlapping is the key concept.
A. Degenhard, A. Degenhard, Andreas Degenhard, E. Katz, Javier Rodríguez-Laguna, L. P. Kadanoff, M. A. Martin-Delgado, M. F. Zimmer, M. Kardar, N. Goldenfeld, P. Hasenfratz, Q. Hou, S. R. White   +12 more
core   +2 more sources