GitHub

Implementation of finite element method for solving PDEs in 2-D and 3-D utilizing simplex mesh and pyramid basis functions

First, import Solver.h. Then, in order to use PDE Solver, you also need to define the kernel functions of the weak form of the PDE, i.e.the bilinear kernel (==MatrixXd) for the weak differential ...
GitHub

pde_opt_example.py

value[:] = 2.0*np.pi*np.pi*np.sin(np.pi*X[0])*np.sin(np.pi*X[1]) \ + np.sign(-np.sin(8.0*np.pi*X[0])*np.sin(8.0*np.pi*X[1])) ...
IEEE

Gain Scheduling With a Neural Operator for a Transport PDE With Nonlinear Recirculation

Abstract: To stabilize partial differential equation (PDE) models, control laws typically require space-dependent functional gains mapped by nonlinear operators from the PDE functional coefficients.
IEEE

Deterministic Learning-Based Tracking Control for Parabolic PDE Systems With Infinite-Dimensional Nonlinear Uncertain Dynamics

Abstract: In this article, we investigate the joint problem of dynamics learning and tracking control for a class of parabolic partial differential equation (PDE) systems with infinite-dimensional ...