Add trivia hessians
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@@ -60,6 +60,12 @@ void Linear1DFiniteElement::CalcDShape(const IntegrationPoint &ip,
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dshape(1,0) = 1.;
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}
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void Linear1DFiniteElement::CalcHessian(const IntegrationPoint &ip,
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DenseMatrix &h) const
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{
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h = 0.0;
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}
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Linear2DFiniteElement::Linear2DFiniteElement()
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: NodalFiniteElement(2, Geometry::TRIANGLE, 3, 1)
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{
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@@ -87,6 +93,11 @@ void Linear2DFiniteElement::CalcDShape(const IntegrationPoint &ip,
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dshape(2,0) = 0.; dshape(2,1) = 1.;
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}
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void Linear2DFiniteElement::CalcHessian(const IntegrationPoint &ip,
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DenseMatrix &h) const
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{
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h = 0.0;
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}
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BiLinear2DFiniteElement::BiLinear2DFiniteElement()
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: NodalFiniteElement(2, Geometry::SQUARE, 4, 1, FunctionSpace::Qk)
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@@ -1256,6 +1267,12 @@ void Linear3DFiniteElement::CalcDShape(const IntegrationPoint &ip,
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}
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}
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void Linear3DFiniteElement::CalcHessian(const IntegrationPoint &ip,
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DenseMatrix &h) const
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{
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h = 0.0;
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}
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void Linear3DFiniteElement::GetFaceDofs (int face, int **dofs, int *ndofs)
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const
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{
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@@ -1632,6 +1649,37 @@ void TriLinear3DFiniteElement::CalcDShape(const IntegrationPoint &ip,
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dshape(7,2) = ox * y;
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}
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void TriLinear3DFiniteElement::CalcHessian(const IntegrationPoint &ip,
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DenseMatrix &h) const
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{
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real_t x = ip.x, y = ip.y, z = ip.z;
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real_t ox = 1.-x, oy = 1.-y, oz = 1.-z;
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h(0,0) = 0.; h(0,1) = oz; h(0,2) = oy;
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h(0,3) = 0.; h(0,4) = ox; h(0,5) = 0.;
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h(1,0) = 0.; h(1,1) = -oz; h(1,2) = -oy;
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h(1,3) = 0.; h(1,4) = x; h(1,5) = 0.;
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h(2,0) = 0.; h(2,1) = oz; h(2,2) = -y;
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h(2,3) = 0.; h(2,4) = -x; h(2,5) = 0.;
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h(3,0) = 0.; h(3,1) = -oz; h(3,2) = y;
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h(3,3) = 0.; h(3,4) = -ox; h(3,5) = 0.;
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h(4,0) = 0.; h(4,1) = z; h(4,2) = -oy;
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h(4,3) = 0.; h(4,4) = -ox; h(4,5) = 0.;
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h(5,0) = 0.; h(5,1) = -z; h(5,2) = oy;
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h(5,3) = 0.; h(5,4) = -x; h(5,5) = 0.;
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h(6,0) = 0.; h(6,1) = z; h(6,2) = y;
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h(6,3) = 0.; h(6,4) = x; h(6,5) = 0.;
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h(7,0) = 0.; h(7,1) = -z; h(7,2) = -y;
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h(7,3) = 0.; h(7,4) = ox; h(7,5) = 0.;
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}
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P0SegmentFiniteElement::P0SegmentFiniteElement(int Ord)
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: NodalFiniteElement(1, Geometry::SEGMENT, 1, Ord) // default Ord = 0
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