$$-\frac{d^2u}{dx^2} = f$$
% Define the element stiffness matrix hx = 1/nx; % element size in x-direction hy = 1/ny; % element size in y-direction Ke = (1/4)*[2 -2 -1 1; -2 2 1 -1; -1 1 2 -2; 1 -1 -2 2]/ (hx*hy); matlab codes for finite element analysis m files
with boundary conditions:
% Set the number of elements nx = 10; ny = 10; $$-\frac{d^2u}{dx^2} = f$$ % Define the element stiffness
% Define the source term f = @(x) sin(pi*x); By modifying the M-files, users can implement different
the M-file becomes more complex. We need to generate a 2D mesh, assemble the element stiffness matrices, and apply boundary conditions.
The M-files provided can be used as a starting point for more complex FEA problems. By modifying the M-files, users can implement different numerical methods, such as the Galerkin method or the mixed finite element method.