Class xlifepp::NedelecEdgeFirstQuadranglePk#
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class NedelecEdgeFirstQuadranglePk : public xlifepp::NedelecEdgeQuadrangle#
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Nedelec edge first family of any order k on quadrangle Q (NEC1_k) space Vk: Q_(k-1,k) x Q_(k,k-1) with Q_(k,l) monomials of degree at most k in x1, of degree at most l in x2, 2k(k+1) dofs edge dofs: v-> int_e v.t q, q in P_(k-1)[e] k dofs by edge e quadrangle dofs (k>1): v-> int_t v.q, q in Q_(k-1,k-2) x Q_(k-2,k-1) 2k(k-1) dofs.
Public Functions
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NedelecEdgeFirstQuadranglePk(const Interpolation *int_p)#
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Nedelec edge first family of any order k on quadrangle Q (NEC1_k) space Vk: Q_(k-1,k) x Q_(k,k-1) with Q_(k,l) monomials of degree at most k in x1, of degree at most l in x2, 2k(k+1) dofs edge dofs: v-> int_e v.t q, q in P_(k-1)[e] k dofs by edge e tetrahedron dofs (k>1): v-> int_t v.q, q in Q_(k-1,k-2) x Q_(k-2,k-1) 2k(k-1) dofs.
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virtual void computeShapeFunctions()#
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compute shape functions as polynomials
compute shape functions as polynomials using general algorithm edge dofs: v-> int_e v.t q, q in P_(k-1)[e] k dofs by edge e tetrahedron dofs (k>1): v-> int_t v.q, q in Q_(k-1,k-2) x Q_(k-2,k-1) 2k(k-1) dofs
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virtual void computeShapeValues(std::vector<real_t>::const_iterator it_pt, ShapeValues &shv, const bool withDeriv = true, const bool with2Deriv = false) const#
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compute shape values at a point
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virtual void interpolationData()#
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defines reference element interpolation data
interp defines Reference Element interpolation data
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void pointCoordinates()#
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builds virtual coordinates of moment dofs
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virtual number_t sideDofsMap(const number_t &n, const number_t &i, const number_t &j, const number_t &k = 0) const#
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edge dofs mapping
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void sideNumbering()#
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local numbering on faces (side)
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void sideOfSideNumbering()#
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local numbering on edges (side of side)
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NedelecEdgeFirstQuadranglePk(const Interpolation *int_p)#