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<p>We study the problem of distribution of a plane potential field outside a symmetric rectangular cross. With the help of the Mellin integral transformation, the problem is reduced to a system of two Wiener–Hopf equations solved by using an approach, which is not based on the factorization of the matrix coefficient. The original problem is reduced to a completely regular infinite system of linear algebraic equations whose numerical solution is performed by the reduction method. The representation of the unknown harmonic function is obtained by solving an infinite system of linear algebraic equations.</p>

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Plane Potential Field Outside a Symmetric Rectangular Cross

  • 期刊论文

  • 发表日期：

    2025年7月26日

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  • A. V. Loveikin

摘要

We study the problem of distribution of a plane potential field outside a symmetric rectangular cross. With the help of the Mellin integral transformation, the problem is reduced to a system of two Wiener–Hopf equations solved by using an approach, which is not based on the factorization of the matrix coefficient. The original problem is reduced to a completely regular infinite system of linear algebraic equations whose numerical solution is performed by the reduction method. The representation of the unknown harmonic function is obtained by solving an infinite system of linear algebraic equations.