Uniqueness of discrete solutions of nonmonotone PDEs without a globally fine mesh condition
Uniqueness of the finite element solution for nonmonotone quasilinear problems of elliptic
type is established in one and two dimensions. In each case, we prove a comparison
theorem based on locally bounding the variation of the discrete solution over each element.
The uniqueness follows from this result, and does not require a globally small meshsize.
type is established in one and two dimensions. In each case, we prove a comparison
theorem based on locally bounding the variation of the discrete solution over each element.
The uniqueness follows from this result, and does not require a globally small meshsize.
[CITATION][C] Uniqueness of discrete solutions of nonmonotone PDEs without a globally fine mesh condition, 2017
S Pollock, Y Zhu - Submitted
Résultats de recherche les plus pertinents Voir tous les résultats