College of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao, China. The finite element method for the unsteady Stokes equations developed over the last several decades is ...

Together with electroencephalography (EEG), magnetoencephalography (MEG) is a technique used to investigate brain activity. EEG and MEG are devoted to detect the electric potential distribution and ...

1 Department of Mathematics, University of Ilorin, Ilorin, Nigeria. 2 Department of Mathematics and Computer Science, Delta State University, Abraka, Nigeria. Modelling of physical problems arising ...

Abstract: We present an innovative physics-informed numerical flux within the framework of the discontinuous Galerkin (DG) method for solving elastic wave equations in 2-D heterogeneous media that ...

Discontinuous Petrov-Galerkin (DPG) methods have emerged as a robust class of finite element techniques designed to enhance stability and accuracy in numerical simulations. By employing discontinuous ...

Abstract: The aim of this paper is the description of a new analytically regularizing procedure, based on Helmholtz decomposition and Galerkin method, successfully employed to analyze the ...

This repository delves into the numerical solution of the Heat Equation using the innovative Deep Galerkin Method (DGM) and the DeepXDE library. As a benchmark, the solutions obtained using DGM are ...

Welcome to this repository, where we explore the development of reduced-order models for solving parabolic partial differential equations (PDEs). The work focuses on two distinct methods: the ...