BIMSA > BIMSA Computational Math Seminar Monotone methods for viscosity solutions of nonlinear PDEs
Monotone methods for viscosity solutions of nonlinear PDEs
Organizers
Pipi Hu , Xin Liang , Zhiting Ma , Hamid Mofidi , Axel G.R. Turnquist , Li Wang , Fansheng Xiong , Shuo Yang , Wuyue Yang
Speaker
Wenbo Li
Time
Thursday, November 20, 2025 3:15 PM - 4:15 PM
Venue
A3-4-312
Online
Zoom 928 682 9093 (BIMSA)
Abstract
In this talk, we investigate viscosity solutions for a class of strongly nonlinear PDEs, including the Monge-Ampère equation, the convex envelope problem and the infinity Laplace equation. We develop monotone two-scale methods and establish their convergence within the Barles-Souganidis framework. Subsequently, we derive pointwise error estimates for solutions with low regularity by leveraging the structures of the problems. Numerical experiments are also presented to validate our theories.