How to create a rectangular domain made of many sub-regions in PDE toolbox

Hi all,

I need to use the PDE toolbox to solve the Laplace equation in a simple 2-D rectangular domain. The thing is that I want my rectangle to be divided in an arbitrary number of sub-regions (like a grid) to specify a different value of the dielectric constant in each of these regions.

I have been looking around but I have not come up with any solution yet. I have some experience with Matlab but I have never used it for PDE problems.

Thank you!

Answer 1

[Vaibhav]

Hi Gerardo

I understand that you are looking for solving a Laplace equation using a PDE toolbox.

You can refer to below documentation to know about solving Poisson's Equation, Laplace equation is special case of Poisson equation.

https://in.mathworks.com/help/pde/ug/solve-poissons-equation-on-a-unit-disk.html

You can refer to below documentation to get started with PDE Toolbox: https://in.mathworks.com/help/pde/getting-started-with-partial-differential-equation-toolbox.html?s_tid=CRUX_lftnav

Explore the documentation below to discover the range of equations you can handle with the PDE Toolbox: https://in.mathworks.com/help/pde/ug/equations-you-can-solve.html

For a comprehensive view of the new features introduced in the PDE Toolbox, refer to this documentation: https://in.mathworks.com/help/pde/release-notes.html

Hope this helps!

Regards,

Vaibhav