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A Simplified Iterative Algorithm With Relaxation Factor for Solving an Annular Inverse Electrocardiography Problem

Year: 2026

Type: article

Abstract: This paper presents a simplified iterative algorithm with a relaxation factor for solving the Cauchy problem of Laplace equation in an annular domain, with applications to inverse electrocardiography. Building upon the classical Kozlov-Maz’ya iterative framework, we introduce a new simplified iteration algorithm with the relaxation factor to accelerate convergence. Theoretical analysis and numerical experiments demonstrate that the proposed method maintains computational efficiency while significantly improving reconstruction accuracy and numerical stability.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20260174

Authors: Yu Shen, Xiangtuan Xiong

Institutions: Northwest Normal University, Gansu Provincial Hospital, Gansu Institute of Political Science and Law

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7222833802

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Cites: 24

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