Equation-Based Modeling Blog Posts
How to Simulate Control Systems Using the PID Controller Add-In
A PID controller can be used in a variety of industries. This blog post demonstrates how a PID controller add-in can be easily incorporated in two simulation examples.
Defeating Giant Movie Monsters Using Mathematical Modeling
The predator-prey equation can predict how we’d fare in a monster invasion, as well as real-world biology and ecology scenarios like shark overpopulation and tumor movement.
Optimizing PID Controller Performance with COMSOL Multiphysics®
PID controllers involve three components that must work together simultaneously, and it can be challenging to get each of them just right. That’s where process control simulation comes in.
Introduction to Numerical Integration and Gauss Points
In this comprehensive blog post, we go over the theory behind numerical integration, Gaussian quadrature, Gauss points, weak contributions, and much more.
Simulation Applications Enable Digitalization at ABB Traction Motors
Here’s a real-world example of optimizing R&D processes with COMSOL Server™: At ABB Traction Motors, engineers use simulation applications to analyze CFD and heat in electric motor designs.
3 Approaches to Modeling Moving Loads and Constraints in COMSOL®
Learn 3 ways to model moving loads and constraints in COMSOL Multiphysics®: using variables, interpolation functions, and paths imported from CAD geometries.
Nonstandard Constraints and the Power of Weak Contributions
For a flexible and physics-independent way to extend the applicability of the COMSOL Multiphysics® software, you can implement nonstandard constraints using the so-called weak contributions.
How to Implement the Weak Form for Time-Dependent Equations
Here’s a comprehensive equation-based modeling guide on how to implement the weak form for time-dependent equations, including theoretical background and step-by-step instructions.
Image Denoising and Other Multidimensional Variational Problems
Learn how to solve variational problems featuring multiple dimensions, higher-order derivatives, and multiple unknowns with a fun example: image denoising in a grainy photograph.
Methods for Enforcing Inequality Constraints
Learn 2 methods for enforcing inequality constraints in your variational problems, the Lagrange Multiplier method and Augmented Lagrangian method, as well as the theory behind them.
Methods for Dealing with Numerical Issues in Constraint Enforcement
This post is helpful if you use equation-based modeling: Learn a variety of different methods for dealing with numerical issues when enforcing constraints in variational problems.
Specifying Boundary Conditions and Constraints in Variational Problems
In part 2 of a blog series on solving variational problems in COMSOL Multiphysics®, we discuss how to specify general boundary conditions and constraints.