Results 61 to 70 of about 233,511 (375)

Massively parallel solvers for elliptic partial differential equations in numerical weather and climate prediction [PDF]

arXiv.org, 2013
The demand for substantial increases in the spatial resolution of global weather and climate prediction models makes it necessary to use numerically efficient and highly scalable algorithms to solve the equations of large‐scale atmospheric fluid dynamics.
E. Müller, Robert Scheichl
semanticscholar   +1 more source

Multiscale Modeling of Process‐Induced Defects in Fused Filament Fabrication‐Printed Materials

Advanced Engineering Materials, EarlyView.
This study presents a predictive multiscale modeling tool for defect analysis of fused filament fabricated‐printed materials and their performance prediction using a mechanistic data science‐based reduced‐order modeling approach. Process‐induced defects are inherent to additively manufactured parts and significantly influence the performance of printed
Satyajit Mojumder, Derick Suarez, Trevor Abbott, Wing Kam Liu   +3 more
wiley   +1 more source

Classification of Exact Solutions for Generalized Form of Equation

Abstract and Applied Analysis, 2013
The classification of exact solutions, including solitons and elliptic solutions, to the generalized equation by the complete discrimination system for polynomial method has been obtained.
Hasan Bulut
doaj   +1 more source

Non-local Gehring lemmas in spaces of homogeneous type and applications

, 2018
We prove a self-improving property for reverse H{\"o}lder inequalities with non-local right hand side. We attempt to cover all the most important situations that one encounters when studying elliptic and parabolic partial differential equations as well ...
Auscher, Pascal, Bortz, Simon, Egert, Moritz, Saari, Olli   +3 more
core   +1 more source

Residual Stress States in Microstructurally Graded PBF–LB/M Austenitic Steel Components

Advanced Engineering Materials, EarlyView.
This study examines microstructurally graded 316L rectangular tube profiles fabricated via PBF–LB/M using a dual‐laser system. A 1 kW top‐hat and a 400 W Gaussian laser create distinct grain sizes and crystallographic texture. Mechanical properties are linked to microstructural evolution driven by processing conditions.
Nico Möller, Florian Loebich, Thomas Wegener, Julia Richter, Jens Gibmeier, Thomas Niendorf   +5 more
wiley   +1 more source

The (G′/G)-expansion method for solving a nonlinear PDE describing the nonlinear low-pass electrical lines

Journal of Taibah University for Science, 2019
In this paper, we apply the (G′/G)-expansion method based on three auxiliary equations, namely, the generalized Riccati equation $ G^{\prime}(\xi ) = r + pG(\xi ) + q{G^2}(\xi ) $ , the Jacobi elliptic equation $ {({G^{\prime}(\xi )} )^2} = R + Q{G^2 ...
Ayad M. Shahoot, Khaled A. E. Alurrfi, Mohamed O. M. Elmrid, Ali M. Almsiri, Abdullah M. H. Arwiniya   +4 more
doaj   +1 more source

A double inverse problem for Fredholm integro-differential equation of elliptic type

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
In this paper the double inverse problem for partial differential equations is considered. The method of studying the one value solvability of the double inverse problem for a Fredholm integro-differential equation of elliptic type with degenerate kernel
Tursun K Yuldashev
doaj   +1 more source

On the definition of ellipticity for systems of partial differential equations

Journal of Mathematical Analysis and Applications, 1991
The paper is devoted to the study of ellipticity of partial differential equations and systems. In particular the author studies the relationship between the concepts introduced by \textit{A. Douglis} and \textit{L. Nirenberg} [Commun. Pure Appl. Math. 8, 503--538 (1955; Zbl 0066.08002)] and by \textit{M. H. Protter} [Pitman Res. Notes Math., Ser. 175,
openaire   +3 more sources

Bi‐Directional Assembly of Boron Nitride µ‐Platelets by Micro‐Molding for Advanced Thermal Interface Materials

Advanced Functional Materials, EarlyView.
Bi‐directionally assembled BN µ‐platelets in micropatterns formed by a micro‐molding method for thermal interface materials are demonstrated. The BN µ‐platelets are vertically aligned selectively, while compressed regions without patterns accommodate horizontally assembled BN µ‐platelets. Through anisotropic orientation, high thermal conductivities for
Young Gil Kim, In‐Young Jung, Yujin Mun, Joo Hwan Shin, Sang Gil Lee, Gyan Raj Koirala, Taewoo Kang, Jehyung Ok, Hyesu Choi, Jiwon Kim, Youngkwang Shin, Seok Joon Kwon, Tae‐il Kim   +12 more
wiley   +1 more source

Abundant Explicit and Exact Solutions for the Variable Coefficient mKdV Equations

Abstract and Applied Analysis, 2013
This paper is concerned with the variable coefficients mKdV (VC-mKdV) equation. First, through some transformation we convert VC-mKdV equation into the constant coefficient mKdV equation.
Xiaoxiao Zheng, Yadong Shang, Yong Huang
doaj   +1 more source