FaceIntegral

Represents expressions of the integral operator on the faces of a mesh.

template <
  class Integrand>
class FaceIntegral;

Specializations

SpecializationDescription
Dot<…>
Full specialization
template <
  class LHSDerived,
  class TrialFES,
  class RHSDerived,
  class TestFES>
class FaceIntegral<
  Dot< ShapeFunctionBase< LHSDerived, TrialFES, TrialSpace >, ShapeFunctionBase< RHSDerived, TestFES, TestSpace > >> final;
Integration of the dot product of a trial and test operators.
ShapeFunctionBase<NestedDerived, …>
Full specialization
template <
  class NestedDerived,
  class FES>
class FaceIntegral<
  ShapeFunctionBase< NestedDerived, FES, TestSpace >> final;
Integration of a test operator.
Template parameters
Integrand Type of the integrand

Represents the integral operator with a templated integrand type:

\[ \int_{\mathcal{F}_h} \mathrm{Integrand} \]

on the faces $ \mathcal{F}_h $ of a triangulation $\mathcal{T}_h $ a domain $ \Omega $ . Then the boundary integral is just the sum of integrals over each face of the mesh:

\[ \int_{\mathcal{F}_h} \mathrm{Integrand} := \sum_{F \in \mathcal{F}_h} \int_F \mathrm{Integrand} \ . \]