Session III.4 - Foundations of Numerical PDEs
Poster
A posteriori error estimates and their use for a least-cost strategy to achieve target accuracy
Yipeng Wang
Sorbonne Université , France - This email address is being protected from spambots. You need JavaScript enabled to view it.
Our work aims at providing an optimal cost strategy to achieve the targeted accuracy when approximating the solution of a nonlinear PDE. The numerical error comes from two sources: the number of iterations and the finite dimensional approximate space. We first apply a probabilistic method to explore an optimal path. Based on the analysis of this optimal path, we propose a near-optimal strategy to achieve a given accuracy based on a posteriori estimates.
Joint work with Yvon MADAY (Sorbonne Université, France) and Muhammad Hassan (Sorbonne Université, France).