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form_element: bilinear form on a single element


form_element - bilinear form on a single element


The form_element class defines functions that compute a bilinear form defined between two polynomial basis on a single geometrical element. This bilinear form is represented by a matrix. The bilinear form is designated by a string, e.g. "mass", "grad_grad", ... indicating the form. The form depends also of the geometrical element: triangle, square, tetrahedron (see . geo_element internal}').
The form_element class is managed by (see . smart_pointer internal}'). This class uses a pointer on a pure virtual class form_element_rep while the effective code refers to the specific concrete derived classes: mass, grad_grad, etc.
class form_element : public smart_pointer<form_element_rep> { public: // typedefs: typedef size_t size_type; // allocators: form_element (std::string name = ""); // modifier: void initialize (const space& X, const space& Y) const; // optional, for scalar-weighted forms: void set_weight (const field& wh) const; // for special forms for which coordinate-system specific weights (ie, cylindrical // coordinates weights) should not be used: void set_use_coordinate_system_weight(bool use) const; // accessor: void operator() (const geo_element& K, ublas::matrix<Float>& m) const; const field& get_weight() const; }; FORM_ELEMENT(9)

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