Адаптивні схеми у методах скінченних та граничних елементів

Еволюційні алгоритми

• (ДВ) Net технології
• Бази даних та інформаційні системи (пм)
• Об'єктно зорієнтоване програмування (Прикладна математика)
• Програмне забезпечення (пм)
• Сучасні інформаційні технології
• Чисельні методи математичної фізики (пм)
• Чисельні методи математичної фізики (системний аналіз)

1. Dyyak I. Combined Algorithm of Domain Decomposition and h -Adaptation for the Solution of Contact Problems of Elasticity / I. Dyyak, I. Prokopyshyn, Yu. Yashchuk // Journal of Mathematical Sciences. – 2015. – 208(4). – P. 383-399.

2. Dyyak I. Domain decomposition adaptivity schemes for contact problems of laminated composites / I. Dyyak, S. Matysiak, I. Prokopyshyn, Yu. Yashchuk // Conference Proceedings. VII-th International Symposium on Mechanics of Materials and Structures. June 3-6, 2013. – Augustow, Poland, 2013. – P. 59.

3. Dyyak I. FEM-BEM based error estimator in elasticity problems / I. Dyyak, S. Matysiak, Yu. Yashchuk // 19th International Conference on Computer Methods in Mechanics. Short Papers. – Warszawa: Warsaw University of Technology, 2011. – P. 175-176.

4. Dyyak I. Investigation of stress error estimator in elasticity problems / I. Dyyak, Yu. Yashchuk // Сontemporary problems of mathematics, mechanics and computing sciences. Editors N.N.Kizilova, G.N.Zholtkevych. – Kharkov: Apostrof, 2011. – P. 33-43.

5. Dyyak I. The error estimation for elasticity problems / I. Dyyak, Yu. Yashchuk, A. Torskyy // VIII International Conference Porous Materials & Symposium “Mathematical Modeling and Optimization in Mechanics”. Extend Abstracts – Lviv-Briukhovychi, 2011. – P.41.

In Ukrainian

6. Dyyak I. Adaptive heterogeneous numerical schemes via domain decompositions methods / I. Dyyak, I. Makar, I. Prokopyshyn, M Shahin, Yu Yashchuk // Papers of XXI national scientific conference “Contemporary problems of applied mathematics and informatics”. – Lviv, 2016. – P. 31-33.

7. Dyyak I. Adaptive scheme of finite-boundary element solving of elasticity problems / І. Dyyak, Yu. Yashchuk // VIII International scientific conference “Mathematical problems of inhomogeneous structutes”. Conference materials. – Lviv: Pidstrygach IAPMM NAS of Ukraine, 2010. – P. 27-28.

8. Dyyak I. Investigation of aposteriori finite element error estimator using boundary element method / I. Dyyak, I. Makar, Yu. Yashchuk // Reports of National scientific conference “Contemporary problems of mathematical modeling and numerical methods”. – Rivne, 2013. – P. 67.

9. Dyyak I. Study and application of finite-boundary element error estimator / І. Dyyak, Yu. Yashchuk // VI Lyashko International scientific conference “Numerical and applied mathematics”. – Kyiv, 2013. – P. 115.

10. Dyyak I. Construction and investigation of numerical solutions of elasticity problems based on h-adaptive approximations / І. Dyyak, І. Makar, Yu. Yashchuk // Mathematical and computer modeling. Physics and mathematics series. – Ogienko national university of Kamyanets-Podilskyy, 2010. – Vol. 4. – P. 76-85.

11. Dyyak I. Construction of h-adaptive schemes of finite element method for elasticity problems / І. Dyyak, Ya. Savula, Yu. Yashchuk // Physical and mathematical modeling and information technologies. – 2011. – Vol. 13. – P. 60-66.

12. Dyyak I. About local stress errors in terms of construction of finite element adaptive schemes for elasticity problems / І. Dyyak, Yu. Yashchuk // Mathematical modeling of complex systems. Papers of scientific conference. – Lviv, 2009. – P. 41.

13. Dyyak I. Finite- boundary element error estimator for elasticity problems / І. Dyyak, Yu. Yashchuk // Visnyk of Lviv University. Series applied mathematics and informatics. – 2013. – Vol. 19. – P. 47-55.

14. Dyyak I. Numerical solution of construction mechanics problem using mortar FEM / І. Dyyak, Ya. Savula, Yu. Yashchuk, А. Styahar // Mathematical modeling and mathematical physics. Reports. – Ostrogradskyy National University of Kremenchuk, 2011. – P. 32-33.

15. Dyyak I. Combined algorithm of domain decomposition and h-adaptation for solving elastic contact problems / I. Dyyak, I. Prokopyshyn, Yu. Yashchuk // Mathematical methods and physicomechanical fields. – Vol. 56. – No. 4. – P. 96-109.

16. Prokopyshyn І. Solving of problems of contact of two elastic bodies using h- adaptive finite element method / І. Prokopyshyn, Yu. Yashchuk // Papers of XIX national scientific conference “Contemporary problems of applied mathematics and informatics”. – Lviv, 2013. – P. 113.

17. Yashchuk Yu. Adaptive algorithm of numerical investigation of elasticity problem // Visnyk of Lviv University. Series applied mathematics and informatics. – 2010. – Vol. 16. – P. 96– 105.

18. Yashchuk Yu. Using BEM for elementwise error estimationі //Conference of young scientists and specialists “Contemporary problems of engineering”. Reports. – Kharkiv: Pidgornyy Institute of Engineering, 2012. – P. 47.

19. Yashchuk Yu. Utilizing nonconforming finite element approximations in modeling of elasticity problems // Conference of young scientists and specialists “Contemporary problems of engineering”. Reports. – Kharkiv: Pidgornyy Institute of Engineering, 2011. – P. 43.

20. Yashchuk Yu. Local stress errors generated by mortar functions utilization in finite element grid adaptation // Papers of XVI national scientific conference “Contemporary problems of applied mathematics and informatics”. – Lviv, 2009. – P. 235-236.

21. Yashchuk Yu. Construction of adaptive algorithm of solving elasticity problems using mortar functions // IV Conference of young scientists on contemporary problems of mechanics and mathematics. Reports. – Lviv: Pidstrygach IAPMM, 2011. – P. 27-28.

22. Yashchuk Yu. Theoretical aspects of construction of FEM error estimator in elasticity problems // Contemporary problems of mechanics and mathematics. Scientific digest. Vol 3. – Lviv, 2013. – P. 70-72.

23. Yashchuk Yu. h-adaptive scheme of boundary element method for solving 2D elasticity problem // XIII National student scientific conference on applied mathematics and informatics SSCAMI-2010. Proceedings. – Lviv, 2010. – P. 133-134.

24. Yashchuk Yu. h-adaptive scheme of numerical solving of elasticity problem // Computer sciences and engineering: Proceedings of IV International conference of young scientists CSE-2010. – Lviv, 2010. – P. 258-259.

In Russian

25. Yashchuk Yu. Solving of contact mechanics problem using h-adaptive finite

element method / Yu. Yashchuk, I. Prokopyshyn // Siberian electronic mathematical reports. – 2014. – Vol. 11. – P. 220-228.

З 2003 р. по 2008 р. навчався у Львівському національному університеті ім. Івана Франка на факультеті прикладної математики та інформатики.

З 2008 р. по 2011 р. навчався в аспірантурі Львівського національного університету ім. Івана Франка за спеціальністю 01.05.02 – математичне моделювання та обчислювальні методи.

У 2014 р. захистив дисертацію на здобуття наукового ступеня кандидата фізико-математичних наук на тему “Комп’ютерне моделювання задач теорії пружності на основі нової h-адаптивної схеми”.

Працевлаштування:

• 2009-2011 – молодший науковий співробітник (ЛНУ ім. І. Франка);
• 2010-2015 – асистент кафедри прикладної математики (ЛНУ ім. І. Франка);
• з 2015 – доцент кафедри прикладної математики (ЛНУ ім. І. Франка).

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