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

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Gerardo Malavena
Gerardo Malavena 2022-2-13
编辑： Vaibhav 2023-10-6
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!

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回答（1 个）

Vaibhav
Vaibhav 2023-10-6
编辑：Vaibhav 2023-10-6
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

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