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@@ -3070,8 +3070,23 @@ template <class Real, Integer ORDER=10> class Stellarator {
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}
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return grad_adj_V;
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};
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+ auto compute_half_n_plus_dG = [&S, &normal](const Vector<ElemBasis>& sigma) { // B = n sigma/2 + dG[sigma]
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+ const Long Nelem = S.NElem();
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+ const Long Nnodes = ElemBasis::Size();
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- auto compute_u_dAdnu_v_00 = [&S,&normal,&H,&compute_B,&compute_dB,&compute_grad_adj] (const Vector<Real>& u_, const Vector<ElemBasis>& v, Real alpha, Real beta) {
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+ Vector<ElemBasis> B;
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+ EvalQuadrature(B, S.quadrature_FxdU, S, sigma, S.Laplace_FxdU);
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+ for (Long i = 0; i < Nelem; i++) {
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+ for (Long j = 0; j < Nnodes; j++) {
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+ for (Long k = 0; k < COORD_DIM; k++) {
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+ B[i*COORD_DIM+k][j] -= 0.5*sigma[i][j]*normal[i*COORD_DIM+k][j];
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+ }
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+ }
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+ }
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+ return B;
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+ };
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+
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+ auto compute_u_dAdnu_v_0 = [&S,&normal,&H,&compute_B,&compute_dB,&compute_grad_adj] (const Vector<Real>& u_, const Vector<ElemBasis>& v, Real alpha, Real beta) {
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const Long Nnodes = ElemBasis::Size();
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const Long Nelem = S.NElem();
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@@ -3142,29 +3157,7 @@ template <class Real, Integer ORDER=10> class Stellarator {
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return dAdnu0 + dAdnu1 + dAdnu2 + dAdnu3;
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};
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-
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- auto compute_dB0 = [&S, &Jp](const Real alpha) {
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- Vector<ElemBasis> dB0;
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- EvalQuadrature(dB0, S.quadrature_dBS, S, Jp, S.BiotSavartGrad);
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- return dB0*alpha;
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- };
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- auto compute_half_n_plus_dG = [&S, &normal](const Vector<ElemBasis>& sigma) { // B = n sigma/2 + dG[sigma]
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- const Long Nelem = S.NElem();
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- const Long Nnodes = ElemBasis::Size();
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-
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- Vector<ElemBasis> B;
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- EvalQuadrature(B, S.quadrature_FxdU, S, sigma, S.Laplace_FxdU);
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- for (Long i = 0; i < Nelem; i++) {
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- for (Long j = 0; j < Nnodes; j++) {
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- for (Long k = 0; k < COORD_DIM; k++) {
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- B[i*COORD_DIM+k][j] -= 0.5*sigma[i][j]*normal[i*COORD_DIM+k][j];
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- }
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- }
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- }
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- return B;
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- };
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-
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- auto compute_u_dAdnu_v_10 = [&S,&area_elem,&normal,&H,&compute_grad_adj,&compute_half_n_plus_dG] (const Vector<Real>& u, const Vector<ElemBasis>& sigma) {
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+ auto compute_u_dAdnu_v_1 = [&S,&area_elem,&normal,&H,&compute_grad_adj,&compute_half_n_plus_dG] (const Vector<Real>& u, const Vector<ElemBasis>& sigma, Real alpha, Real beta) {
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const Long Nnodes = ElemBasis::Size();
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const Long Nelem = S.NElem();
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@@ -3445,7 +3438,7 @@ template <class Real, Integer ORDER=10> class Stellarator {
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return (dphi_dnu0+dphi_dnu1+dphi_dnu2+dphi_dnu3+dphi_dnu4+dphi_dnu5+dphi_dnu6+dphi_dnu7+dphi_dnu8) * u[Nelem*Nnodes];
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};
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- auto compute_u_dAdnu_v_11 = [&S,&area_elem,&normal,&H,&compute_grad_adj,&compute_B,&compute_dB0] (const Vector<Real>& u, Real alpha, Real beta) {
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+ auto compute_u_dAdnu_v_11 = [&S,&area_elem,&normal,&H,&compute_grad_adj,&compute_B,&compute_dB] (const Vector<Real>& u, Real alpha, Real beta) {
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const Long Nelem = S.NElem();
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const Long Nnodes = ElemBasis::Size();
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@@ -3498,7 +3491,7 @@ template <class Real, Integer ORDER=10> class Stellarator {
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return J;
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};
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- auto compute_dphi_dnu0 = [&S,&normal,&compute_AxB,&compute_v,&compute_dB0] () {
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+ auto compute_dphi_dnu0 = [&S,&normal,&compute_AxB,&compute_v,&compute_dB] () {
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const Long Nelem = S.NElem();
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const Long Nnodes = ElemBasis::Size();
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@@ -3507,7 +3500,7 @@ template <class Real, Integer ORDER=10> class Stellarator {
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EvalQuadrature(Gv, S.quadrature_FxU, S, v, S.Laplace_FxU);
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Vector<ElemBasis> nxGv = compute_AxB(Gv,normal);
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- Vector<ElemBasis> gradB = compute_dB0(1.0);
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+ Vector<ElemBasis> gradB = compute_dB(Vector<ElemBasis>(), 1.0, 0);
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Vector<ElemBasis> dphi_dnu(Nelem);
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for (Long i = 0; i < Nelem; i++) {
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for (Long j = 0; j < Nnodes; j++) {
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@@ -3685,12 +3678,12 @@ template <class Real, Integer ORDER=10> class Stellarator {
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};
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{ // Set dg_dnu -= dg_dsigma invA dA_dnu sigma
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- auto dg_dnu1 = compute_u_dAdnu_v_00(dg_dsigma_invA, sigma, alpha, beta);
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- auto dg_dnu3 = compute_u_dAdnu_v_10(dg_dsigma_invA, sigma);
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- auto dg_dnu4 = compute_u_dAdnu_v_11(dg_dsigma_invA, alpha, beta);
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+ auto dg_dnu0 = compute_u_dAdnu_v_0(dg_dsigma_invA, sigma, alpha, beta);
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+ auto dg_dnu1 = compute_u_dAdnu_v_1(dg_dsigma_invA, sigma, alpha, beta);
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+ auto dg_dnu2 = compute_u_dAdnu_v_11(dg_dsigma_invA, alpha, beta);
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+ dg_dnu -= dg_dnu0;
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dg_dnu -= dg_dnu1;
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- dg_dnu -= dg_dnu3;
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- dg_dnu -= dg_dnu4;
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+ dg_dnu -= dg_dnu2;
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}
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return dg_dnu;
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};
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