Send options to the integrate function
This class is used to send options to the integrate function when building a form. It allows to set the quadrature formulae that is used for numerical integration see quadrature_option_type(2) and two boolean flags.
ignore_sys_coord
This flag has effects only for axisymmetric coordinate systems. When set, it omits the r weight in the r dr dz measure during the numerical integration performed the integrate function. This feature is usefull for computing the stream function in the axisymmetric case.
lump
This flag, when set, perfoms a mass lumping procedure on the matrix at the element level:
a(i,i) := sum(j) a(i,j)
The resulting matrix is diagonal. This feature is usefull for computing a diagonal approximation of the mass matrix for the continuous P1 element.
invert
This flag, when set, perfoms a local inversion on the matrix at the element level:
a := inv(a)
This procedure is allowed only when the global matrix is block diagonal, e.g. for discontinuous or bubble approximations. This property is true when basis functions have a compact support inside exactly one element.
All flags are set to false by default.
struct form_option_type : quadrature_option_type { // allocators: form_option_type(); form_option_type (const form_option_type& fopt); form_option_type (const quadrature_option_type& qopt); form_option_type& operator= (const form_option_type& fopt); operator quadrature_option_type() const { return *this; } // data: bool ignore_sys_coord, lump, invert; };
quadrature_option_type(2)