petsc-3.11.4 2019-09-28
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PetscGLLCreate

 creates a set of the locations and weights of the Gauss-Lobatto-Legendre (GLL) nodes of a given size on the domain [-1,1]

Synopsis

PetscErrorCode PetscGLLCreate(PetscInt n,PetscGLLCreateType type,PetscGLL *gll)
Not Collective

Input Parameter

n - number of grid nodes
type - PETSCGLL_VIA_LINEARALGEBRA or PETSCGLL_VIA_NEWTON

Output Parameter

gll -the nodes

Notes

For n > 30 the Newton approach computes duplicate (incorrect) values for some nodes because the initial guess is apparently not close enough to the desired solution

These are useful for implementing spectral methods based on Gauss-Lobatto-Legendre (GLL) nodes

See http://epubs.siam.org/doi/abs/10.1137/110855442 http://epubs.siam.org/doi/abs/10.1137/120889873 for better ways to compute GLL nodes

See Also

PetscGLL, PetscGLLDestroy(), PetscGLLView(), PetscGLLIntegrate(), PetscGLLElementLaplacianCreate(), PetscGLLElementLaplacianDestroy(),
PetscGLLElementGradientCreate(), PetscGLLElementGradientDestroy(), PetscGLLElementAdvectionCreate(), PetscGLLElementAdvectionDestroy()

Level

beginner

Location

src/sys/classes/gll/petscgll.c

Examples

src/ksp/ksp/examples/tutorials/ex68.c.html
src/ksp/ksp/examples/tutorials/ex69.c.html
src/ts/examples/tutorials/ex50.c.html
src/tao/unconstrained/examples/tutorials/spectraladjointassimilation.c.html

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