Matlab: Codes For Finite Element Analysis M Files

% Compute the load vector F = zeros((nx+1)*(ny+1), 1); for i = 1:nx+1 for j = 1:ny+1 F((i-1)*(ny+1) + j) = f(i/nx, j/ny); end end

% Set the number of elements nx = 10; ny = 10; matlab codes for finite element analysis m files

% Plot the solution x = 0:(1/(nx+1)):1; plot(x, u); xlabel('x'); ylabel('u(x)'); This M-file implements the basic steps of FEA for the 1D Poisson equation. The poisson1d function takes two inputs: f , a function handle for the source term, and nx , the number of elements. The function returns the solution vector u . % Compute the load vector F = zeros((nx+1)*(ny+1),

% Solve the linear system u = K\F;

% Define the element stiffness matrix k = 1/(nx+1); % element size Ke = [1 -1; -1 1]/k; ny = 10