Work

Analysis of a Weak Galerkin Mixed Formulation for Modified Maxwell’s Equations

Year: 2024

Type: article

Abstract: In this paper, we are interested in studying a mixed formulation of weak Galerkin type to approach the electric field and a Lagrange multiplier, which are solutions of a problem deriving from Maxwell’s equations. Our numerical scheme is formed with stable finite elements constructed of usual polynomials of degree k for the electric field and of degree k+1 for the Lagrange multiplier; its consistency and well-posedness are shown. Some optimal error estimates are proven and tested numerically in a bounded subdomain of R2.

Source: Mathematics

DOI: 10.3390/math12243901

Authors: Abdelhamid Zaghdani, Abdelhalim Hasnaoui

Institution: Northern Border University

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funder: Northern Border University