Combined Algorithm of Domain Decomposition and h -Adaptation for the Solution of Contact Problems of Elasticity

Verfasser / Beitragende:
[I. Dyyak, I. Prokopyshyn, Yu. Yashchuk]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 208/4(2015-07-01), 383-399
Format:
Artikel (online)
ID: 605525374
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024 7 0 |a 10.1007/s10958-015-2453-y  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2453-y 
245 0 0 |a Combined Algorithm of Domain Decomposition and h -Adaptation for the Solution of Contact Problems of Elasticity  |h [Elektronische Daten]  |c [I. Dyyak, I. Prokopyshyn, Yu. Yashchuk] 
520 3 |a 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. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Dyyak  |D I.  |u Franko Lviv National University, Lviv, Ukraine  |4 aut 
700 1 |a Prokopyshyn  |D I.  |u Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine  |4 aut 
700 1 |a Yashchuk  |D Yu  |u Franko Lviv National University, Lviv, Ukraine  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 208/4(2015-07-01), 383-399  |x 1072-3374  |q 208:4<383  |1 2015  |2 208  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-015-2453-y  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2453-y  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Dyyak  |D I.  |u Franko Lviv National University, Lviv, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Prokopyshyn  |D I.  |u Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Yashchuk  |D Yu  |u Franko Lviv National University, Lviv, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 208/4(2015-07-01), 383-399  |x 1072-3374  |q 208:4<383  |1 2015  |2 208  |o 10958