New parameterized solution with application to bounding secondary variables in FE models of structures

作者：

Highlights：

• New method providing parameterized outer estimate of the united solution set to an interval parametric linear system.

• New simpler approach providing sharp enclosure of secondary (derived) quantities in interval finite element models of structures.

• Numerical examples illustrating properties and the application of the proposed methods.

摘要

•New method providing parameterized outer estimate of the united solution set to an interval parametric linear system.•New simpler approach providing sharp enclosure of secondary (derived) quantities in interval finite element models of structures.•Numerical examples illustrating properties and the application of the proposed methods.

论文关键词：Linear algebraic equations,Interval parameters,Solution set,Parameterized outer estimate,Secondary variables

论文评审过程：Received 6 February 2019, Revised 5 March 2020, Accepted 8 March 2020, Available online 31 March 2020, Version of Record 31 March 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125205