Adaptive component mode synthesis in linear elasticity

作者：Jakobsson Hakan^*; Bengzon Fredrik; Larson Mats G

来源：International Journal for Numerical Methods in Engineering, 2011, 86(7): 829-844.

DOI：10.1002/nme.3078

• component mode synthesis
• substructuring
• adaptivity
• a posteriori error estimation
• model reduction
• finite element method

Component mode synthesis (CMS) is a classical method for the reduction of large-scale finite element models in linear elasticity. In this paper we develop a methodology for adaptive refinement of CMS models. The methodology is based on a posteriori error estimates that determine to what degree each CMS subspace influence the error in the reduced solution. We consider a static model problem and prove a posteriori error estimates for the error in a linear goal quantity as well as in the energy and L-2 norms. Automatic control of the error in the reduced solution is accomplished through an adaptive algorithm that determines suitable dimensions of each CMS subspace. The results are demonstrated in numerical examples.

• 出版日期2011-5-20