Modeling, Simulation and Optimization for Science and Technology [Hardcover]

This volume contains thirteen articles on advances in applied mathematics and computing methods for engineering problems. Six papers are on optimization methods and algorithms with emphasis on problems with multiple criteria; four articles are on numerical methods for applied problems modeled with nonlinear PDEs; two contributions are on abstract estimates for error analysis; finally one paper deals with rare events in the context of uncertainty quantification. Applications include aerospace, glaciology and nonlinear elasticity.

Herein?is a selection of contributions from speakers at two conferences on applied mathematics held in June 2012 at the University of Jyv?skyl?, Finland. The first conference, Optimization and PDEs with Industrial Applications celebrated the seventieth birthday of Professor Jacques P?riaux of the?University of Jyv?skyl? and Polytechnic University of Catalonia (Barcelona Tech) and the second conference, Optimization and PDEs with Applications celebrated the seventy-fifth birthday of Professor Roland Glowinski of the University of Houston.

This work should be of interest to researchers and practitioners as well as advanced students or engineers in computational and applied mathematics or mechanics.

Foreword.- 1. A Unified Approach to Measuring Accuracy of Error Indicators, by Immanuel Anjam, Olli Mali, Pekka Neittaanm?ki, and Sergey Repin.- 2. On the Numerical Solution of the Dirichlet Problem for the Elliptic (s2) Equation, by ?Alexandre Caboussat.- 3. Multiple-Gradient Descent Algorithm (MGDA) for Pareto-Front Identification, by Jean-Antoine D?sid?ri4. On Alternating Direction Methods of Multipliers: A Historical Perspective, by Roland Glowinski.- 5. Numerical Analysis and Simulation of the Dynamics of Mountain Glaciers, by Guillaume Jouvet and Jacques Rappaz.- 6. Fast Nash Hybridized Evolutionary Algorithms for Single and Multi-Objective Design Optimization in Engineering, bl“)