Novel Partitioned Time-Stepping Algorithms for Fast Computation of Random Interface-Coupled Problems with Uncertain Parameters
作者机构：School of Mathematical SciencesEast China Normal UniversityShanghaiChina School of Mathematical SciencesMinistry of Education Key Laboratory of Mathematics and Engineering ApplicationsShanghai Key Laboratory of PMMPEast China Normal UniversityShanghaiChina
出 版 物：《Numerical Mathematics(Theory,Methods and Applications)》 (高等学校计算数学学报（英文版）)
年 卷 期：2024年第17卷第1期
页 面：145-180页
核心收录：
学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学]
主 题：Scalar auxiliary variable ensemble algorithm random interface-coupled problems implicit-explicit partitioned method data-passing partitioned method
摘 要：The simulation of multi-domain,multi-physics mathematical models with uncertain parameters can be quite demanding in terms of algorithm design and com-putation *** main objective in this paper is to examine a physical interface coupling between two random dissipative systems with uncertain *** to the complexity and uncertainty inherent in such interface-coupled problems,un-certain diffusion coefficients or friction parameters often arise,leading to consid-ering random *** employ Monte Carlo methods to produce independent and identically distributed deterministic heat-heat model samples to address ran-dom systems,and adroitly integrate the ensemble idea to facilitate the fast calcu-lation of these *** achieve unconditional stability,we introduce the scalar auxiliary variable(SAV)method to overcome the time constraints of the ensemble implicit-explicit ***,for a more accurate and stable scheme,the ensemble data-passing algorithm is raised,which is unconditionally stable and convergent without any auxiliary *** algorithms employ the same co-efficient matrix for multiple linear systems and enable easy parallelization,which can significantly reduce the computational ***,numerical experiments are conducted to support the theoretical results and showcase the unique features of the proposed algorithms.
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