Results 61 to 70 of about 2,916,443 (230)
Fractional order, discrete model of heat transfer process using time and spatial Grünwald-Letnikov operator [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 1921 In the paper a new, state space, fully discrete, fractional model of a heat transfer process in one dimensional body is addressed. The proposed model derives directly from fractional heat transfer equation.
Krzysztof Oprzędkiewicz
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Advanced Engineering Materials, EarlyView.A combined experimental–computational framework identifies energy‐dependent laser absorptivity for NiTi in laser powder‐bed fusion, applicable to conduction and transition modes. Single‐track experiments and thermofluid smoothed particle hydrodynamics simulations are coupled through inverse analysis of melt pool geometry.
Mohamadreza Afrasiabi +3 more
wiley +1 more source
The local backward heat problem
, 2017 In this paper, we study the local backward problem of a linear heat equation with time-dependent coefficients under the Dirichlet boundary condition. Precisely , we recover the initial data from the observation on a subdomain at some later time.
Vo, Thi Minh Nhat
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An improved stability result for a heat equation backward in time with nonlinear source [PDF]
, 2012 We consider a nonlinear backward heat conduction problem in a strip. The problem is ill-posed in the sense that the solution (if it exists) does not depend continuously on the data.
Tuan, Nguyen Huy, Quan, Pham Hoang
core
Shannon wavelet regularization methods for a backward heat equation
Journal of Computational and Applied Mathematics, 2011 The author considers the backward heat equation that is used in order to model, e.g., heat propagation in thermophysics or in some other problems arising from continuum mechanics. The backward heat equation is usually ill-posed. The authors uses the Shannon wavelet regularization in order to approximate the backward heat equation efficiently.
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A new stability results for the backward heat equation
, 2009 In this paper, we regularize the nonlinear inverse time heat problem in the unbounded region by Fourier method. Some new convergence rates are obtained. Meanwhile, some quite sharp error estimates between the approximate solution and exact solution are provided.
Pham Ngoc Dinh, Alain +3 more
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Comparison of Triply Periodic Minimal Surface Energy Absorbers Under Uniaxial Compressive Loading
Advanced Engineering Materials, EarlyView.This study investigates LCD 3D printed Triply Periodic Minimal Surface (TPMS) structures as mechanical energy absorbers. By comparing various base designs and layered combinations under uniaxial compression, it identifies that a Diamond‐Gyroid sandwich structure offers superior performance.
Sergej Grednev +2 more
wiley +1 more source
Construction of entire solutions for semilinear parabolic equations
Electronic Journal of Differential Equations, 2008 Entire solutions of parabolic equations (those which are defined for all time) are typically rather rare. For example, the heat equation has exactly one entire solution - the trivial solution.
Michael Robinson
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Advanced Engineering Materials, EarlyView.Experiments and thermophysical simulations were conducted to investigate the electron beam powder bed fusion electron beam (PBF‐EB/M) process for the γ′‐strengthened nickel‐based superalloy Inconel 738LC. The results demonstrate the impact of process‐induced microstructural variations on high‐temperature mechanical behavior, providing a basis for ...
Jan Niklas Petenati +11 more
wiley +1 more source
Regularization and error estimates for asymmetric backward nonhomogeneous heat equations in a ball
Electronic Journal of Differential Equations, 2016 The backward heat problem (BHP) has been researched by many authors in the last five decades; it consists in recovering the initial distribution from the final temperature data.
Le Minh Triet, Luu Hong Phong
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