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FEM to solve for 2D Laplace's Equation

version 1.0.0 (2.24 KB) by Roche de Guzman
FEM solution to a steady-state PDE (example: Laplace's) applied to an electric potential

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Updated 26 Apr 2019

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%% Laplace's Equation: nabla^2 u = 0 (version 2: acquire matrix results)
% 2 space dimensions: uxx + uyy = 0, where u = V (electric potential)
% by Prof. Roche C. de Guzman
clear; clc; close('all');

%% Given
% source geometry (circle)
r = 0.5; % radius [m]
C = [0 0]; % center (h,k)
% domain geometry (rectangle)
f = 1.5; % factor relative to the circle
% electric potential
Vg = 0; % ground
Vs = 110; % source [V]

Cite As

Roche de Guzman (2020). FEM to solve for 2D Laplace's Equation (https://www.mathworks.com/matlabcentral/fileexchange/71357-fem-to-solve-for-2d-laplace-s-equation), MATLAB Central File Exchange. Retrieved .

Comments and Ratings (1)

This file is a really useful guide to using MATLAB's PDE toolbox from the command line. It ought to be part of MATLAB's documentation.

MATLAB Release Compatibility
Created with R2019a
Compatible with any release
Platform Compatibility
Windows macOS Linux