Grid convergence analysis of grid-characteristic method on chimera meshes in ultrasonic nondestructive testing of railroad rail

AA Kozhemyachenko, AV Favorskaya - Computational Mathematics and …, 2023 - Springer
A three-dimensional direct problem of ultrasonic nondestructive testing of a railroad rail
treated as a linear elastic medium is solved by applying a grid-characteristic method on …

Grid-characteristic method on Chimera meshes using a single background grid with varying elastic properties

E Pesnya, A Favorskaya, N Khokhlov - Procedia Computer Science, 2022 - Elsevier
Nowadays, traditional hydrocarbon reserves are depleted. The search for and production of
oil and gas in hard-to-reach fields require the development of appropriate computing …

Parallel computations by the grid-characteristic method on Chimera computational grids in 3D problems of railway non-destructive testing

A Favorskaya, N Khokhlov, V Sagan… - Russian Supercomputing …, 2022 - Springer
Our work is devoted to the numerical solution of direct problems of non-destructive testing of
rails in a full-wave three-dimensional formulation. The complexity of this class of problems is …

Thermal-mechanical coupling model based on the hybrid finite element method for solving bipolar the plate deformation of hydrogen fuel cells

W Chen, S Dai, B Zheng - Machines, 2022 - mdpi.com
New energy is the focus of attention all over the world, and research into new energy can
inject new vitality into the industrial system. Hydrogen fuel cells are not only environmentally …

[HTML][HTML] 基于改进的傅里叶神经算子数值求解频率域声波方程

潘代英, 何清龙 - Operations Research and Fuzziology, 2023 - hanspub.org
在许多应用中, 频率域声波方程的数值求解发挥着重要作用, 如医学成像和地震勘探.
传统的频率域声波方程求解方法, 如有限差分法, 有限元法等, 通常具有参数依赖性 …

[PDF][PDF] UNIFORMLY EXPONENTIALLY STABLE APPROXIMATION FOR THE TRANSMISSION LINE WITH VARIABLE COEFFICIENTS AND ITS APPLICATION

B Zhang, F Zheng, Y He - Journal of Applied Analysis & …, 2024 - jaac-online.com
We analyze an ideal transmission line, which is defined by the telegraph equation with
variable coefficients, from the perspectives of numerical analysis and control theory in this …

Исследование сеточной сходимости сеточно-характеристического метода на химерных сетках в задаче ультразвукового неразрушающего контроля …

АА Кожемяченко… - … vyčislitelʹnoj matematiki i …, 2023 - journals.rcsi.science
В работе рассматривается пример решения трехмерной прямой задачи
ультразвукового контроля в рельсовом полотне, представляемого в виде линейно …

Uniformly exponentially stable approximation for the transmission line with varying structure parameters

F Zheng, S Li, W Xue, X Wang - Available at SSRN 4385133 - papers.ssrn.com
In this note we study an ideal transmission line, which is described by the telegraph's
equation with variable coefficients, from the viewpoints of numerical analysis and control …