caa a22 4500 605525374 CHVBK 20210128100758.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s10958-015-2453-y doi (NATIONALLICENCE)springer-10.1007/s10958-015-2453-y Combined Algorithm of Domain Decomposition and h -Adaptation for the Solution of Contact Problems of Elasticity [Elektronische Daten] [I. Dyyak, I. Prokopyshyn, Yu. Yashchuk] We propose a combined algorithm for the solution of the problems of contact of elastic bodies. This algorithm combines the iterative method of domain decomposition and the h -adaptive scheme based on the comparison of the results of the finite-element and boundary-element methods. The numerical analysis of a test problem shows that the mesh refinement performed by using the proposed algorithm reveals singularities of the stress field near the contact area and the total number of unknowns significantly decreases, as compared with the case of uniform partition. Springer Science+Business Media New York, 2015 Dyyak I. Franko Lviv National University, Lviv, Ukraine aut Prokopyshyn I. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut Yashchuk Yu Franko Lviv National University, Lviv, Ukraine aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/4(2015-07-01), 383-399 1072-3374 208:4<383 2015 208 10958 https://doi.org/10.1007/s10958-015-2453-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2453-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dyyak I. Franko Lviv National University, Lviv, Ukraine aut NATIONALLICENCE 700 1- Prokopyshyn I. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut NATIONALLICENCE 700 1- Yashchuk Yu Franko Lviv National University, Lviv, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/4(2015-07-01), 383-399 1072-3374 208:4<383 2015 208 10958