Modeling, Simulation and Optimization for Science and Technology

✍ Scribed by William Fitzgibbon, Yuri A. Kuznetsov, Pekka Neittaanmäki, Olivier Pironneau (eds.)

• Publisher: Springer Netherlands
• Year: 2014
• Tongue: English
• Leaves: 252
• Series: Computational Methods in Applied Sciences 34
• Edition: 1
• Category: Library

✦ Synopsis

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 Jyväskylä, Finland. The first conference, “Optimization and PDEs with Industrial Applications” celebrated the seventieth birthday of Professor Jacques Périaux of the University of Jyväskylä 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.

✦ Table of Contents

Front Matter....Pages i-x
A Unified Approach to Measuring Accuracy of Error Indicators....Pages 1-22
On the Numerical Solution of the Dirichlet Problem for the Elliptic $$(\sigma _2)$$ ( σ 2 ) Equation....Pages 23-40
Multiple-gradient Descent Algorithm for Pareto-Front Identification....Pages 41-58
On Alternating Direction Methods of Multipliers: A Historical Perspective....Pages 59-82
Numerical Analysis and Simulation of the Dynamics of Mountain Glaciers....Pages 83-92
Fast Nash Hybridized Evolutionary Algorithms for Single and Multi-objective Design Optimization in Engineering....Pages 93-121
An Augmented Lagrangian Method for the Microstructure of a Liquid Crystal Model....Pages 123-137
On an Extension of the First Korn Inequality to Incompatible Tensor Fields on Domains of Arbitrary Dimensions....Pages 139-159
A Guide for the Selection of a Numerical Methodology Adapted to the Analysis of Extreme Events....Pages 161-169
Optimization Under Uncertainty Using the Generalized Inverse Distribution Function....Pages 171-190
Automating the Parameter Selection in VRP: An Off-line Parameter Tuning Tool Comparison....Pages 191-209
Comparison of Local Computational Approaches for Unsteady Viscous Incompressible Flows....Pages 211-223
Parameter Rating by Diffusion Gradient....Pages 225-248

✦ Subjects

Theoretical and Applied Mechanics; Computational Science and Engineering; Mathematics of Computing