Dune::SimplexP1BubbleLocalInterpolation< LB > Class Template Reference
Interpolation into the SimplexP1BubbleLocalBasis. More...
#include <dune/localfunctions/enriched/simplexp1bubble/localinterpolation.hh>
Inheritance diagram for Dune::SimplexP1BubbleLocalInterpolation< LB >:
Static Public Member Functions | |
| template<class F, class C, class R = std::invoke_result_t<F, DomainType>, std::enable_if_t< std::is_convertible_v< R, C >, int > = 0> | |
| static constexpr void | interpolate (const F &f, std::vector< C > &out) |
| Local interpolation of the function f. | |
Detailed Description
template<class LB>
class Dune::SimplexP1BubbleLocalInterpolation< LB >
class Dune::SimplexP1BubbleLocalInterpolation< LB >
Interpolation into the SimplexP1BubbleLocalBasis.
The coefficients f_i associated to the vertex DOFs are computed by evaluation of the function f to interpolate in the vertex positions x_i. The coefficient associated to the bubble function, f_b, is obtains by evaluation f in the barycenter x_b of the element minus the linear contributions in that point:
![\[ f_i = f(x_i), i=0,\ldots,dim+1
f_b = f(x_b) - \sum_{i=0}^{dim+1} f_i * \phi_i(x_b),
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with 
Member Function Documentation
◆ interpolate()
template<class LB>
template<class F, class C, class R = std::invoke_result_t<F, DomainType>, std::enable_if_t< std::is_convertible_v< R, C >, int > = 0>
|
inlinestaticconstexpr |
Local interpolation of the function f.
- Parameters
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[in] f A callable f:D -> R with domain D=DomainType and range R convertible into the coefficient type C. [out] out The interpolation coefficients {f_i...,f_b} are stored in this output vector.
The documentation for this class was generated from the following file:
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