The next seminar “Modelling of materials – theory, model reduction and efficient numerical methods” will take place next Monday (October 21, 2019) in the room K2 from 9:00 till 10:30. The talk will be given by Prof. K.C. Park. Please see the details below.
Title: Method of Localized Lagrange Multipliers and its Recent Applications: Multi-Physics, Reduced-Order Modeling, and Uncertainty Quantification
Abstract: The present talk introduces a localized version of ‘la méthode des multiplicateurs’ ( known as method of Lagrange multipliers) and its recent applications in computational engineering. We will, first, offer a brief review of a variational formulation for the partitioned equations of motion for multi-physics and/or multi-domains utilizing the method of localized Lagrange multipliers, with its earlier application examples: pore fluid-soil, structure-control, acoustic-structure, structural-thermal and structure-electromagnetic problems. We then focus on recent advances in the four categories: regularization for stiff coupled systems, reduced-order modeling, nonmatching interfaces, a direct generation of inverse mass matrices for explicit transient analysis, and uncertainty quantification analysis. The presentation concludes with potential areas of further developments in partitioned analysis employing the method of localized Lagrange multipliers.