caa a22 4500 378883496 CHVBK 20180305123437.0 cr unu---uuuuu 161128e20040901xx s 000 0 eng 10.1515/1569395041931455 doi (NATIONALLICENCE)gruyter-10.1515/1569395041931455 Boglaev I. Institute of Fundamental Sciences, Massey University, Private Bag 11-222, Palmerston North,New Zealand A monotone Schwarz algorithm for a semilinear convection-diffusion problem [Elektronische Daten] [I. Boglaev] This paper deals with discrete monotone iterative algorithms for solving a nonlinear singularly perturbed convection-diffusion problem. Firstly, the monotone method (known as the method of lower and upper solutions) is applied to computing a nonlinear difference scheme obtained after discretisation of the continuous problem. Secondly, a monotone domain decomposition algorithm based on a modification of the Schwarz alternating method is constructed. This monotone algorithm solves only linear discrete systems at each iterative step of the iterative process. The rate of convergence of the monotone Schwarz method is estimated. Numerical experiments are presented. Copyright 2004, Walter de Gruyter Singularly perturbed convection-diffusion problem nationallicence monotone method nationallicence overlapping domain decomposition nationallicence monotone Schwarz alternating algorithm nationallicence Journal of Numerical Mathematics Walter de Gruyter 12/3(2004-09-01), 169-191 1570-2820 12:3<169 2004 12 jnma https://doi.org/10.1515/1569395041931455 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/1569395041931455 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Boglaev I. Institute of Fundamental Sciences, Massey University, Private Bag 11-222, Palmerston North,New Zealand NATIONALLICENCE 773 0- Journal of Numerical Mathematics Walter de Gruyter 12/3(2004-09-01), 169-191 1570-2820 12:3<169 2004 12 jnma CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter