petsc-3.14.5 2021-03-03
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# PetscDualSpaceApplyDefault

Apply a functional from the dual space basis to an input function by assuming a point evaluation functional.

### Synopsis

    #include "petscfe.h"
    PetscErrorCode PetscDualSpaceApplyDefault(PetscDualSpace sp, PetscInt f, PetscReal time, PetscFEGeom *cgeom, PetscInt Nc, PetscErrorCode (*func)(PetscInt, PetscReal, const PetscReal [], PetscInt, PetscScalar *, void *), void *ctx, PetscScalar *value)

### Input Parameters

| sp | - The PetscDualSpace object
| f | - The basis functional index
| time | - The time
| cgeom | - A context with geometric information for this cell, we use v0 (the initial vertex) and J (the Jacobian)
| Nc | - The number of components for the function
| func | - The input function
| ctx | - A context for the function

### Output Parameter

| value | - The output value

### Note: The calling sequence for the callback func is given by

    func(PetscInt dim, PetscReal time, const PetscReal x[],

         PetscInt numComponents, PetscScalar values[], void *ctx)

and the idea is to evaluate the functional as an integral

    n(f) = int dx n(x) . f(x)

where both n and f have Nc components.

### See Also

PetscDualSpaceCreate()

### Level

beginner

### Location

src/dm/dt/dualspace/interface/dualspace.c
Index of all DUALSPACE routines
Table of Contents for all manual pages
Index of all manual pages