Analogue of Poisson’s Formula for the Solution of the Helmholtz Equation

The paper presents analogues of Poisson’s formula for solving interior and exterior boundary value problems with Dirichlet or Neumann boundary conditions on a sphere for the Helmholtz equation, with the kernels of the integrals in the form of series.

Authors

A. O. Savchenko (ORCID: https://orcid.org/0000-0002-6294-0466)

Institutions

Institute of Computational Mathematics and Mathematical Geophysics (RU)

Publication Details

Journal: Computational Mathematics and Mathematical Physics
Published: 2024-11-01
DOI: https://doi.org/10.1134/s0965542524701550
Primary Topic: Elasticity and Wave Propagation
Type: article
Field-Weighted Citation Impact: 0.00

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article

Analogue of Poisson’s Formula for the Solution of the Helmholtz Equation

A. O. Savchenko

Nov 1, 2024

Computational Mathematics and Mathematical Physics

Elasticity and Wave Propagation

article

Analogue of Poisson’s Formula for the Solution of the Helmholtz Equation

A. O. Savchenko

November 1, 2024article en

Abstract

Computational Mathematics and Mathematical PhysicsVol. 64(11)

Institute of Computational Mathematics and Mathematical Geophysics (RU)

Openalex Percentile: Top 73%

Elasticity and Wave Propagation

DOI Source OpenAlex

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Analogue of Poisson’s Formula for the Solution of the Helmholtz Equation — A. O. Savchenko · Computational Mathematics and Mathematical Physics (2024) | TGRS Research Map | TGRS