📄 crack.m
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function crack
clear all
% Initial Mesh
node = [1,0; 0,1; -1,0; 0,-1; 0,0; 1,0];
elem = [5,1,2; 5,2,3; 5,3,4; 5,4,6];
Dirichlet = [1,2; 2,3; 3,4; 4,6; 1,5; 5,6];
Neumann = [];
% Adaptive Finite Element Method
for step = 1:28
% Step1: Solver
u = Poisson(node, elem, Dirichlet, Neumann, @f, @u_D, @g);
% Step2: Estimate
eta = estimate(node,elem,u);
% Step3: Refine
[node,elem,marker,d2p] = bisection(node,elem,eta.^2,0.4,0);
% refine boundary edges
Dirichlet = updatebd(Dirichlet,marker,d2p);
Neumann = updatebd(Neumann,marker,d2p);
end
u = Poisson(node, elem, Dirichlet, Neumann, @f, @u_D, @g);
% -------------------------------------------------------------------------
function z = f(p) % data
z = 1;
function z = u_D(p) % Dirichlet boundary condition
r = sqrt(sum(p.^2,2));
z = sqrt(0.5*(r-p(:,1)))-0.25*r.^2;
function z = g(p) % Neumann boundary condition
z = 0;
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