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#

PetscFEIntegrateResidual()

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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