This project employs a one-dimensional Finite Element Method (FEM) solver in Python. It uses the Galerkin method with 1D Lagrange basis functions and 2nd order Gaussian Quadrature for numerical ...

In Step-0, I provide a basic introduction. Some FEM concepts, such as the assembly of the global matrix per element, the reference element, ... are not discussed at first. At the end of the Jupyter ...

SIAM Journal on Numerical Analysis, Vol. 53, No. 3 (2015), pp. 1585-1607 (23 pages) The diffraction grating problem is modeled by a boundary value problem governed by ...

SIAM Journal on Numerical Analysis, Vol. 37, No. 1 (Nov. - Dec., 1999), pp. 246-268 (23 pages) Many physical materials of practical relevance can attain several variants of crystalline microstructure.

One of the common classes of equations that is encountered in several branches of science is partial differential equations. So in this article, I look at a software package called FreeFem++ that is ...

Abstract: Numerical calculation of electromagnetic fields plays an important role in the design of electrical equipment. However, due to the special structure of certain equipment, traditional ...