Harmonic measures and numerical computation of Cauchy problems for Laplace equations

DOI10.1007/s11401-023-0051-8zbMath1530.65149arXiv2305.14686MaRDI QIDQ6183907

Masahiro Yamamoto, Yuqun Chen, Jin Cheng, Shuai Lu

Publication date: 4 January 2024

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.14686

zbMATH Keywords

Cauchy problemconditional stabilityLaplace equationindicate function

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Error bounds for boundary value problems involving PDEs (65N15) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

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