Optimization & MATLAB

A practical course on mathematical optimization, LiveLink for MATLAB and optimization workflows inside COMSOL Multiphysics.

ECTS credits

3.0 ECTS

Teaching hours

9 hours

Instructor

Institute of Interdisciplinary Mathematics
Complutense University of Madrid

The course is taught as a module in the Advanced Modeling, automation & optimization in COMSOL Multiphysics course and can also be included in a custom program.

Course overview

The design of devices is a crucial step in industrial processes, as it directly influences the efficiency and effectiveness of final products. In this context, mathematical optimization serves as a powerful tool to automate and enhance the design process.

This course develops a comprehensive understanding of optimization by using COMSOL models, with a focus on LiveLink for MATLAB and the Optimization Module.

LiveLink for MATLAB enables students to push models further through MATLAB programming capabilities and optimization tools, while the Optimization Module embeds optimization solutions directly within COMSOL models.

The course covers objective functions, design variables, constraints and optimization workflows, together with practical examples involving geometric optimization, material property optimization, topological optimization and parameter estimation.

Core tools covered include LiveLink for MATLAB, COMSOL model scripting, Optimization Module workflows, sensitivity analysis, parameter estimation and MATLAB optimization solvers.

Image made using the COMSOL Multiphysics software and provided by courtesy of COMSOL.

Syllabus

Module 01

Programming and model utilization in MATLAB

  • COMSOL Multiphysics and MATLAB integration.
  • Execution flow between COMSOL and MATLAB.
  • Low-level model information and post-processing.
  • Use of external MATLAB functions within COMSOL Multiphysics.
  • Management of COMSOL simulation models from MATLAB.
Module 02

Optimization and sensitivity analysis

  • Mathematical foundations of optimization and sensitivity analysis.
  • Optimization and sensitivity interfaces within COMSOL.
  • Optimization studies using the COMSOL platform.
  • Parameter estimation techniques within COMSOL.
  • Use of MATLAB optimization solvers together with COMSOL.

Use optimization to turn simulation models into better designs.

Continue reviewing the curriculum or visit the teaching team behind the program.