An efficient direct method for the numerical solution to the Cauchy problem for the Laplace equation

DOI10.15372/SJNM20190107MaRDI QIDQ5043012

S. B. Sorokin

Publication date: 26 October 2022

Published in: Сибирский журнал вычислительной математики (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/sjvm703

zbMATH Keywords

inverse problemnumerical solutionCauchy problem for Laplace equationefficient direct method

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Cites Work

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• Numerical solution of continuation problem for 3D steady-state diffusion in cylindrically layered medium
• Comparative analysis of methods for regularizing an initial boundary value problem for the Helmholtz equation
• Numerical Computation of a Cauchy Problem for Laplace's Equation
• Numerical reconstruction of unknown boundary data in the Cauchy problem for Laplace’s equation
• Optimizational method for solving the Cauchy problem for an elliptic equation

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