Multiscale seamless-domain method for solving nonlinear heat conduction problems without iterative multiscale calculations
نویسندگان
چکیده
منابع مشابه
Quantifying Uncertainty in Multiscale Heat Conduction Calculations
In recent years, there has been interest in employing atomistic computations to inform macroscale thermal transport analyses. In heat conduction simulations in semiconductors and dielectrics, for example, classical molecular dynamics (MD) is used to compute phonon relaxation times, from which material thermal conductivity may be inferred and used at the macroscale. A drawback of this method is ...
متن کاملA regularization method for solving a nonlinear backward inverse heat conduction problem using discrete mollification method
The present essay scrutinizes the application of discrete mollification as a filtering procedure to solve a nonlinear backward inverse heat conduction problem in one dimensional space. These problems are seriously ill-posed. So, we combine discrete mollification and space marching method to address the ill-posedness of the proposed problem. Moreover, a proof of stability and<b...
متن کاملAn Iterative Method for Problems with Multiscale Conductivity
A model with its conductivity varying highly across a very thin layer will be considered. It is related to a stable phantom model, which is invented to generate a certain apparent conductivity inside a region surrounded by a thin cylinder with holes. The thin cylinder is an insulator and both inside and outside the thin cylinderare filled with the same saline. The injected current can enter onl...
متن کاملOn Iterative Substructuring Methods for Multiscale Problems
In this note, we discuss iterative substructuring methods for a scalar elliptic model problem with a strongly varying diffusion coefficient that is typically discontinuous and exhibits large jumps. Opposed to earlier theory, we treat the case where the jumps happen on a small spatial scale and can in general not be resolved by a domain decomposition. We review the available theory of FETI metho...
متن کاملDomain decomposition method for nonlinear multiscale analysis of structures
In this presentation we consider efficient numerical strategies designed to compute the evolution of large structures undergoing localized nonlinear phenomena such as plasticity, damage, cracking or microbuckling. Despite Newton-Schur-Krylov strategies which associate both Newton type solvers and domain decomposition methods (and especially non-overlapping ones [1,2]) provide an efficient frame...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mechanical Engineering Journal
سال: 2016
ISSN: 2187-9745
DOI: 10.1299/mej.15-00491