Nov 30, 2023 · In this paper, the authors will prove the conditional stability estimate which is quantitatively related to harmonic measures.
May 24, 2023 · The harmonic measure can be used as an indicate function to pointwisely evaluate the numerical result, which further enables us to find a ...
May 24, 2023 · In this paper, we will discuss the Cauchy problem for the Laplace equation and prove the conditional stability estimate, in which the order ...
The harmonic measure can be used as an indicate function to pointwisely evaluate the numerical result, which further enables us to find a reliable subdomain ...
Jun 10, 2024 · The harmonic measure can be used as an indicate function to pointwisely evaluate the numerical result, which further enables us to find a ...
Dec 29, 2014 · Uniqueness. To show uniqueness holds in Q2, it suffices to prove that only the zero function matches the boundary condition u=uy=0.
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Nov 30, 2023 · Harmonic Measures and Numerical Computation of Cauchy Problems for Laplace Equations. Yu Chen; Jin Cheng; Masahiro Yamamoto. OriginalPaper 30 ...
Based on the idea of kriging and the radial basis function approximation, we develop in this paper a numerical scheme to integrate harmonic functions with.
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We consider two numerical methods for solving this problem. A standard approach is to discretize the differential equation by finite differences, and use ...