Enabling Predictive Simulation and UQ of Complex Multiphysics PDE Systems by the Development of Goal-Oriented Variational Sensitivity Analysis and a-Posteriori Error Estimation Methods

Estep, Donald¹ 

[1] Colorado State Univ., Fort Collins, CO (United States)

关键词: a posteriori error analysis;    uncertainty quantification;    sensitivity analysis;    multiphysics and multiscale problems;    adaptive discretization;   

DOI  :  10.2172/1227282
RP-ID  :  DOE-CSU--05304-1
PID  :  OSTI ID: 1227282

学科分类：数学（综合）

美国|英语

来源: SciTech Connect

【 摘 要 】

This project addressed the challenge of predictive computational analysis of strongly coupled, highly nonlinear multiphysics systems characterized by multiple physical phenomena that span a large range of length- and time-scales. Specifically, the project was focused on computational estimation of numerical error and sensitivity analysis of computational solutions with respect to variations in parameters and data. In addition, the project investigated the use of accurate computational estimates to guide efficient adaptive discretization. The project developed, analyzed and evaluated new variational adjoint-based techniques for integration, model, and data error estimation/control and sensitivity analysis, in evolutionary multiphysics multiscale simulations.