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On a method of approximating potential fields with discontinuous boundary conditions

Year: 2024

Type: article

Abstract: The paper considers numerical simulation of the approximation of a potential field withgiven discontinuous boundary conditions using a classical basis of harmonic functions,which is enriched by harmonic functions with discontinuous traces at the boundary of thedomain. It is shown that this method can be applied to noisy data.

Source: Problems of applied mathematics and mathematic modeling

DOI: 10.15421/322414

Author: A.O. Molchanov

Institution: Oles Honchar Dnipro National University

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4407640520

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