PetscFEIntegrateResidual

Produce the element residual vector for a chunk of elements by quadrature integration

Synopsis

#include "petscfe.h" 
PetscErrorCode PetscFEIntegrateResidual(PetscDS ds, PetscFormKey key, PetscInt Ne, PetscFEGeom *cgeom, const PetscScalar coefficients[], const PetscScalar coefficients_t[], PetscDS probAux, const PetscScalar coefficientsAux[], PetscReal t, PetscScalar elemVec[])

Not Collective

Input Parameters

• ds - The PetscDS specifying the discretizations and continuum functions

• key - The (label+value, field) being integrated

• Ne - The number of elements in the chunk

• cgeom - The cell geometry for each cell in the chunk

• coefficients - The array of FEM basis coefficients for the elements

• coefficients_t - The array of FEM basis time derivative coefficients for the elements

• probAux - The PetscDS specifying the auxiliary discretizations

• coefficientsAux - The array of FEM auxiliary basis coefficients for the elements

• t - The time

Output Parameter

• elemVec - the element residual vectors from each element

Note

  Loop over batch of elements (e):
    Loop over quadrature points (q):
      Make u_q and gradU_q (loops over fields,Nb,Ncomp) and x_q
      Call f_0 and f_1
    Loop over element vector entries (f,fc --> i):
      elemVec[i] += \psi^{fc}_f(q) f0_{fc}(u, \nabla u) + \nabla\psi^{fc}_f(q) \cdot f1_{fc,df}(u, \nabla u)

See Also

PetscFEIntegrateBdResidual()

Level

intermediate

Location

src/dm/dt/fe/interface/fe.c

Implementations

PetscFEIntegrateResidual_Basic() in src/dm/dt/fe/impls/basic/febasic.c
PetscFEIntegrateResidual_OpenCL() in src/dm/dt/fe/impls/opencl/feopencl.c

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