Journal ArticleDOI
An accurate and efficient Chebyshev expansion method for large-scale transient heat conduction problems
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TLDR
An efficient and accurate Chebyshev expansion method is presented for solving large-scale transient heat conduction problems and it is indicated that under the given truncation criterion, the computational cost decreases with the increasing of the time step.About:
This article is published in Computers & Structures.The article was published on 2021-06-01. It has received 6 citations till now. The article focuses on the topics: Chebyshev filter & Matrix exponential.read more
Citations
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Table Of Integrals Series And Products
TL;DR: The table of integrals series and products is universally compatible with any devices to read and is available in the book collection an online access to it is set as public so you can get it instantly.
Journal ArticleDOI
Analytically-integrated radial integration PBEM for solving three-dimensional steady heat conduction problems
TL;DR: In this paper, an analytically-integrated polygonal boundary element method (PBEM) was proposed for solving steady heat conduction problems, and the results show that the proposed method is accurate and more efficient than traditional PBEM.
Journal ArticleDOI
Highly Accurate and Efficient Time Integration Methods with Unconditional Stability and Flexible Numerical Dissipation
Yufeng Xing,Gail S. Prins +1 more
TL;DR: In this paper , the authors proposed a time integration method for the solution of transient problems, in which the right-hand side is decomposed into two parts, a linear part and a nonlinear part.
Journal ArticleDOI
Analysis of nonlinear heat conduction problems with temperature-dependent conductivity using peridynamic differential operator
TL;DR: In this article , a nonlocal approach for handling nonlinear heat conduction problems is developed using the peridynamic differential operator (PDDO), which transforms boundary conditions and temperature conduction equations from local differential form to nonlocal integral form by introducing perid dynamic functions.
Journal ArticleDOI
An efficient method for transient heat conduction problems with local nonlinearities based on the quasi-superposition principle
Chuanbao Nie,Bowen Fu,Qiang Gao +2 more
TL;DR: In this article , a quasi-superposition principle is presented for the transient heat conduction problems with local nonlinearities, which indicates that the solution of the original nonlinear problem can be derived by solving some nonlinear problems with small structures and a linear problem with the original structure.
References
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Book
Finite Element Procedures
TL;DR: The Finite Element Method as mentioned in this paper is a method for linear analysis in solid and structural mechanics, and it has been used in many applications, such as heat transfer, field problems, and Incompressible Fluid Flows.
Table Of Integrals Series And Products
TL;DR: The table of integrals series and products is universally compatible with any devices to read and is available in the book collection an online access to it is set as public so you can get it instantly.
Related Papers (5)
Application of multilevel scheme and two level discretization for POD based model order reduction of nonlinear transient heat transfer problems
A. K. Gaonkar,Salil S. Kulkarni +1 more