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Equation-Based Modeling Blog Posts

Using Global Equations to Introduce Fully Coupled Goal Seeking

January 20, 2021

Learn how to introduce a goal-seeking equation, combined with a fully coupled approach, to solve a nonlinear model. (Follow-up to an earlier blog post on goal seeking with a segregated solver.)

Introducing Goal Seeking into the Segregated Solver

January 19, 2021

Did you know that you can adjust a model input to achieve a desired output in your nonlinear problems? The process involves implementing a global equation into the segregated solver.

Equation-Based Modeling with a Space-Time Discretization

September 24, 2020

In COMSOL Multiphysics®, almost any expression in a computational model can be modified. For example, using a space-time discretization can make optimization problems easy and fast to implement.

Modeling the Spread of COVID-19 with COMSOL Multiphysics®

April 7, 2020

From susceptible to exposed and infected to recovered: See how numerical modeling can help us understand the dynamics of the COVID-19 pandemic and how it spreads.

How to Simulate Control Systems Using the PID Controller Add-In

January 9, 2020

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

August 5, 2019

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®

June 11, 2019

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

May 1, 2019

In this comprehensive blog post, we go over the theory behind numerical integration, Gaussian quadrature, Gauss points, weak contributions, and much more.

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