ParticleWNN: a Novel Neural Networks Framework for Solving Partial Differential Equations

1 code implementation • 21 May 2023 • Yaohua Zang, Gang Bao

In this work, a novel deep learning-based framework named Particle Weak-form based Neural Networks (ParticleWNN) is developed for solving PDEs in the weak form.

Numerical Solution of Inverse Problems by Weak Adversarial Networks

no code implementations • 26 Feb 2020 • Gang Bao, Xiaojing Ye, Yaohua Zang, Haomin Zhou

We consider a weak adversarial network approach to numerically solve a class of inverse problems, including electrical impedance tomography and dynamic electrical impedance tomography problems.

Weak Adversarial Networks for High-dimensional Partial Differential Equations

1 code implementation • 18 Jul 2019 • Yaohua Zang, Gang Bao, Xiaojing Ye, Haomin Zhou

The weak solution and the test function in the weak formulation are then parameterized as the primal and adversarial networks respectively, which are alternately updated to approximate the optimal network parameter setting.

Numerical Analysis Numerical Analysis