# Pde Articles and Tutorials

## Space-Time Transformation of 1D Time-Dependent to a 2D Stationary Simulation Model

## Space-Time Transformation of 1D Time-Dependent to a 2D Stationary Simulation Model

Space-Time Finite Element (FEM) Simulation FEATool Multiphysics is a very flexible CAE physics and continuum mechanics simulation toolbox, allowing users to customize, easily define, and solve their own systems of partial differential equations (PDE). In the following it is shown how the custom equation feature can be …

## Using Mixed Robin Boundary Conditions in FEATool

## Using Mixed Robin Boundary Conditions in FEATool

Robin boundary conditions or mixed Dirichlet (prescribed value) and Neumann (flux) conditions are a third type of boundary condition that for example can be used to implement convective heat transfer and electromagnetic impedance boundary conditions. In the following it will be discussed how mixed Robin conditions are …

## Euler-Bernoulli Beam - FEATool Modeling and Implementation Example

## Euler-Bernoulli Beam - FEATool Modeling and Implementation Example

This post will discuss how to implement and model elastic deformations of simple beams with FEATool Multiphysics. Although also available as a pre-defined physics mode and GUI option, beams and truss structures can also be implemented and accurately simulated with slight extension of the available FEM MATLAB functions …

## Custom Equations and the Weak PDE Formulation Equation Syntax

## Custom Equations and the Weak PDE Formulation Equation Syntax

The following post further examines PDE equation parsing and specifying custom equations in FEATool. Furthermore, a simple parametric heat transfer model will be shown and set up as a custom PDE equation, suitable for both the MATLAB command line and m-script file modeling. Stationary heat transfer by conduction and …

## Different Ways of Working with FEATool and FEM Simulations

## Different Ways of Working with FEATool and FEM Simulations

FEATool Multiphysics is unique in that it allows several different ways for users to work with FEM modeling and simulation. The whole spectrum from using the high-level graphical user interface down to low-level access of the fundamental matrices of the underlying finite element FEM discretization is possible. On top …

## Axisymmetric Modeling Using the Custom Equation Syntax

## Axisymmetric Modeling Using the Custom Equation Syntax

FEATool has been designed to be able to perform MATLAB multiphysics simulations in all spatial dimensions (1D, 2D, and 3D). However, running full 3D simulations often requires a significant amount of computational resources, that is memory and simulation time. It is therefore desirable to find simplifications to reduce …

## Modeling with Custom Equations in the FEATool GUI

## Modeling with Custom Equations in the FEATool GUI

FEATool Multiphysics features an equation parser which allows users to very easily implement and simulate custom systems of equations. The goal as always with FEATool is to make it as easy as possible, the parser can therefore interpret equations written almost as one would on paper. For example a two dimensional …