Skip to Main content Skip to Navigation
Journal articles

About the ellipticity of the discrete Laplacian in polar coordinate with Neumann condition

Abstract : The Chebyshev Gauss-Radau discrete version of the polar-diffusion operator, presents complex conjugate eigenvalues when it is associated with Neumann boundary condition imposed at r = 1. It is shown that this ellipticity violation of the original continuous problem is genuine and not due to some round-off error. A way to avoid these complex conjugate eigenvalues is proposed, at the expense of some loss of accuracy. An evaluation is performed of the impact this approach has on the spectral accuracy of the solution.
Complete list of metadata

Cited literature [12 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00712188
Contributor : Benoît Trouette Connect in order to contact the contributor
Submitted on : Tuesday, June 26, 2012 - 4:01:59 PM
Last modification on : Thursday, December 10, 2020 - 12:34:15 PM
Long-term archiving on: : Thursday, September 27, 2012 - 2:45:57 AM

File

trouette_jcp2010_v1.pdf
Files produced by the author(s)

Identifiers

`

Citation

Benoît Trouette, Claudine Delcarte, Gérard Labrosse. About the ellipticity of the discrete Laplacian in polar coordinate with Neumann condition. Journal of Computational Physics, Elsevier, 2010, 229, pp.7277-7286. ⟨10.1016/j.jcp.2010.06.013⟩. ⟨hal-00712188⟩

Share

Metrics

Record views

283

Files downloads

894