FEM to solve for 2D Laplace's Equation

FEM solution to a steady-state PDE (example: Laplace's) applied to an electric potential
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Updated Fri, 26 Apr 2019 05:17:45 +0000

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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 (2024). 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 .

MATLAB Release Compatibility
Created with R2019a
Compatible with any release
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Version Published Release Notes
1.0.0