Work

A Convergent Numerical Approximation for the Coupled Maxwell-landau-lifshitz-gilbert Equations With Inertia Effects

Year: 2025

Type: article

Abstract: This study aims to analyze the coupled finite element and boundary element (FEM-BEM) solution to the nonlinear system of Maxwell and inertia Landau–Lifshitz–Gilbert equations. An algorithm is proposed to numerically solve the weak form of this problem, which requires solving coupled linear systems per time step. The algorithm is coupled in the sense that it consists of the sequential computation of the magnetic and electric fields in both the interior and boundary domains, and magnetization afterward. Under some mild assumptions on the effective field, the findings show that the algorithm converges towards a weak solution of the Maxwell-Inertia Landau–Lifshitz–Gilbert system. Numerical experiments demonstrate the algorithm's applicability for a theoretical micromagnetic example.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240364

Authors: Raymond Kitengeso, Zhoushun Zheng

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, China Scholarship Council

Award: G5305183196

OpenAlex ID: W4411533732