@Article{cmc.2009.013.153,
AUTHOR = {B. Tomas  Johansson, Liviu  Marin},
TITLE = {Relaxation of Alternating Iterative Algorithms for the Cauchy Problem Associated with the Modified Helmholtz Equation},
JOURNAL = {Computers, Materials \& Continua},
VOLUME = {13},
YEAR = {2009},
NUMBER = {2},
PAGES = {153--190},
URL = {http://www.techscience.com/cmc/v13n2/22499},
ISSN = {1546-2226},
ABSTRACT = {We propose two algorithms involving the relaxation of either the given Dirichlet data or the prescribed Neumann data on the over-specified boundary, in the case of the alternating iterative algorithm of  Kozlov, Maz'ya and Fomin(1991) applied to Cauchy problems for the modified Helmholtz equation. A convergence proof of these relaxation methods is given, along with a stopping criterion. The numerical results obtained using these procedures, in conjunction with the boundary element method (BEM), show the numerical stability, convergence, consistency and computational efficiency of the proposed methods.},
DOI = {10.3970/cmc.2009.013.153}
}