📄 penalty_function.cpp
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#include "vs.h"
#define L_ 1.0
#define E_ 1.0
#define I_ 1.0
#define f_ 1.0
#define M_ 1.0
int main() {
double K = 1.0, weight[3] = {1.0/3.0, 4.0/3.0, 1.0/3.0};
Quadrature qp(weight, 0.0, L_, 3);
C0 delta_c, c_cache(3, (double*)0);
do {
H1 x(qp), psi = x,
w = INTEGRABLE_VECTOR_OF_TANGENT_BUNDLE("int, int, Quadrature",
2, 1, qp);
w[0] = x; w[1] = x.pow(2); // w
H0 b = INTEGRABLE_MATRIX("int, int, Quadrature", 3, 3, qp);
b[0][0] = E_*I_*d(psi)*d(psi)+K*((H0)psi)*((H0)psi);
b[0][1] = b[1][0] = K*((H0)psi)*d(w[0]);
b[0][2] = b[2][0] = K*((H0)psi)*d(w[1]);
b[1][1] = K*d(w[0])*d(w[0]); b[1][2] = K*d(w[0])*d(w[1]);
b[2][1] = K*d(w[1])*d(w[0]); b[2][2] = K*d(w[1])*d(w[1]);
C0 B = b |J(L_/2.0); // LSH bilinear form
C0 l(3, (double*)0); // RHS vector
l[0] = -M_*L_; l[1] = (((H0)w[0])*f_) | J(L_/2.0); l[2] = (((H0)w[1])*f_) | J(L_/2.0);
C0 c = l / B;
delta_c &= c_cache - c;
c_cache = c;
cout << c << ", " << norm(delta_c) << endl;
//cout << l << endl;
//cout << B << endl;
//cout << norm(c) << endl;
K *= 5.0;
} while((double)norm(delta_c) > 1.e-6);
return 0;
}
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