Discrete fracture models for fluid flow in fracture porous media

Speaker: Ziyao Xu (UND) Dates: 2024/04/05 Location: zoom, link Abstract:  As a result of geological processes and human activities, fractures are widely distributed in subsurface rocks. Depending on the degree of precipitation, fractures can act either as highly permeable, flow-preferential…

On the Activation Function Dependence of the Spectral Bias of Neural Networks

Speaker: Qinguo Hong (Missouri S&T) Dates: 2024/03/22 Location: MW 154 Abstract: Neural networks are universal function approximators which are known to generalize well despite being dramatically overparameterized. We study this phenomenon from the point of view of the spectral bias…

A High Order Geometry Conforming Immersed Finite Element for Elliptic Interface Problems

Speaker: Haroun Meghaichi (VT) Dates: 2024/02/08 Location: zoom Abstract:We present a high order immersed finite element (IFE) method for solving the elliptic interface problem with interface-independent meshes. The IFE functions developed here satisfy the interface conditions exactly and they have…