تجاوز إلى المحتوى الرئيسي
 

 

 

On the Schwarz Method for the Eddy Currents Model

Author name : Anis Mohamed
Publication Date : 2022-03-18
Journal Name : Computers and Mathematics with Applications

Abstract

We investigate an iterative solver for the reduced eddy currents model set in open domains. Its formulation is the result of the coupling of a variational problem restricted to a truncated domain with a transparent condition at the fictitious boundary. The non-local boundary condition is derived using simple/double layer potentials. Applying a splitting technique yields an iterative algorithm that requires to solve, at each iteration, a local Neumann boundary value problem on the current potential. A re-interpretation of the algorithm as a Schwarz method enables a tractable convergence analysis which is the core subject of the paper. Using suitable variational tools, we establish an exponential convergence of the iterative solver. Some analytical and numerical examples are presented to check the theoretical findings and the relevance of our procedure.

Keywords

Eddy currents, Integral formulas, Coupling methods, Schwarz algorithm

Publication Link

https://doi.org/10.1016/j.camwa.2022.02.018

Block_researches_list_suggestions

Suggestions to read

“Synthesis and Characterization study of SnO2/α-Fe2O3, In2O3/α-Fe2O3 and ZnO/α-Fe2O3 thin films and its application as transparent conducting electrode in silicon heterojunction solar cell”
Asma Arfaoui
Oral cancer stem cells: A comprehensive review of key drivers of treatment resistance and tumor recurrence
DR KALADHAR REDDY AILENI
Modeling the Social Factors Affecting Students Satisfaction with Online Learning: A Structural Equation Modeling Approach
ABDULHAMEED RAKAN ALENEZI
Higher Knee Muscles Co-Contractions are Observed in Individuals Exhibiting Loading Asymmetry Early after ACL Reconstruction. The Combined Sections Meeting
ABDULMAJEED BARAKAT MUBARAK ALFAYYADH
تواصل معنا