We define higher-order analogues to the piecewise linear surface finite element method studied in [G. Dziuk, "Finite elements for the Beltrami operator on arbitrary surfaces," in Partial Differential ...
SIAM Journal on Numerical Analysis, Vol. 50, No. 6 (2012), pp. 3351-3374 (24 pages) In this paper quasi-Monte Carlo (QMC) methods are applied to a class of elliptic partial differential equations ...
Abstract: In this work, a finite element method (FEM)-based numerical framework is proposed to effectively calculate the drift-diffusion equations and compiled into a parallel computing device ...
Abstract: Current forward modeling approaches for 3-D controlled-source electromagnetic (CSEM) problems in anisotropic media exhibit limited capability in addressing large-scale models. Given that, we ...
This repository is my implementation of: "Can Physics-Informed Neural Networks beat the Finite Element Method? by Tamara G. Grossmann, Urszula Julia Komorowska, Jonas Latz and Carola-Bibiane Schönlieb ...
Companies all over the world are using AI to identify rare earth minerals, reducing the need to drill unnecessarily in the exploration phase.
The prospective candidates of the GATE 2026 Physics (PH) exam must familiarise themselves with the GATE Physics syllabus. The ...
Spintronics devices will be key to realizing faster and more energy-efficient computers. To give us a better understanding of ...
Researchers Mitsuyoshi Kamba, Naoki Hara, and Kiyotaka Aikawa of the University of Tokyo have successfully demonstrated ...