@Article{CMR-28-4,
author = {Yunyun, Ma and Ma, Fuming},
title = {Fourier Moment Method with Regularization for the Cauchy Problem of Helmholtz Equation},
journal = {Communications in Mathematical Research },
year = {2012},
volume = {28},
number = {4},
pages = {300--312},
abstract = {<p style="text-align: justify;">In this paper, we consider the reconstruction of the wave field in a
bounded domain. By choosing a special family of functions, the Cauchy problem
can be transformed into a Fourier moment problem. This problem is ill-posed. We
propose a regularization method for obtaining an approximate solution to the wave
field on the unspecified boundary. We also give the convergence analysis and error
estimate of the numerical algorithm. Finally, we present some numerical examples to
show the effectiveness of this method.</p>},
issn = {2707-8523},
doi = {https://doi.org/2012-CMR-19033},
url = {https://global-sci.com/article/81842/fourier-moment-method-with-regularization-for-the-cauchy-problem-of-helmholtz-equation}
}