Application of the finite element method to solving mathematical physics problems. FEM a posteriori error estimators.

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• Probability Theory and Mathematical Statistics (122 CS)
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• Kvasnytsya H.A., Shynkarenko H.A. Adaptive approximations of the finite element method for elasticity problem // Visnyk of the Lviv University. Series Applied Mathematics and Computer Science – 2002.-№ 5. – Pp. 95-106.
• Kvasnytsya H.A., Shynkarenko H.A. Comparison of simple a posterior error estimators in finite element analysis for elastostatics problems // Visnyk of the Lviv University. Series Applied Mathematics and Computer Science – 2003.-№ 7. – Pp. 162-174.
• H. Kvasnytsia, F. Chaban, H. Shynkarenko. Construction of the h-adaptive FEM schema for the forced vibration problems // 18^th International Conference on Computer Methods in Mechanics CMM 2009 Short Papers – 18-21 May 2009, Zielona Gora, Poland  pp. 271-272.
• Y. Abramov, H. Kvasnytsya, H. Shynkarenko. h–adaptive finite elements method with piecewise quadratic and cubic approximations for one-dimensional boundary value problems // Visnyk of the Lviv University. Series Applied Mathematics and Computer Science – 2011.-№ 17. – Pp. 47-61.
• H. Kvasnytsia, F. Chaban, H. Shynkarenko. Analysis of harmonic forced vibration problems and construction of robust FEM approximation for their solutions// Visnyk of the Lviv University. Series Applied Mathematics and Computer Science – 2013.-№ 20. – Pp. 19-33.
• O. Vovk, H. Kvasnytsia, O. Ostapov, H. Shynkarenko. A posteriory error estimators of quadratic serendipity finite element approximations for elliptic boundary value problems // Visnyk of the Lviv University. Series Applied Mathematics and Computer Science – 2014.-№ 21. – Pp. 67-78.
• Kvasnytsia H.A. Computable double-sided a posteriori error estimates and h-adaptive finite element approximations / H.A.Kvasnytsia, O.Yu.Ostapov, H.A.Shynkarenko, O.V.Vovk // Manufacturing Process: Actual Problems-2014; M. Gajek, O. Hachkevych, A. Stanik-Besler eds. – Opole: Politechnika Opolska, 2014 – Vol. 1. Basic science applications in manufacturing processes. – P. 96-111.
• O. Vovk, H. Kvasnytsya, H. Shynkarenko. Exact total a posteriori error estimation of FEM approximations for dual torsion problems // Visnyk of the Lviv University. Series Applied Mathematics and Computer Science – 2015. – №24. – Pp. 44-52.
• Kvasnytsia H., Shynkarenko H., Vasylyshyn B. Numerical analysis of the effectivity and robustness of a posteriori error estimators of finite element approximations for the dual torsion problem. Manufacturing Processes: Actual Problems-2017; O. Hachkevych, A. Stanik-Besler, T. Wolczanski eds. Opole: Politechnika Opolska, 2017. Vol. 1. P. 95-111.
• Kvasnytsia H.A. Numerical analysis of a posteriori error estimators of finite element approximations for the dual torsion problem / H.A. Kvasnytsia, H.A. Shynkarenko, B.B. Vasylyshyn // Proceedings of the International Conference UCAM-2017 “Ukrainian Conference on Applied Mathematics” 28-30 September, 2017. P. 67-69.
• Kvasnytsya H.A., Shynkarenko H.A. Analysis of the problem of harmonic waves in elastic bodies and its h-adaptive finite-element approximation. Mathematical Methods and Physicomechanical Fields. 2020. Vol. 63. №1. C. 52-64.
• H.Kvasnytsya, P. Malashnyak, H. Shynkarenko. Comparison of h-adaptive finite elements schemes with different degrees one-dimensional boundary value problems. Visnyk of the Lviv University. Series Applied Mathematics and Computer Science- 2022. № 30. Pp. 45-59.
• H.A.Kvasnytsia, H.A.Shynkarenko. Analysis of the problem of harmonic waves in elastic bodies and its h-adaptive finite-element approximation. Journal of Mathematical Sciences. Vol. 270, February 2023, № 1, pp.59-75.

Graduated from the Faculty of Applied Mathematics of Ivan Franko Lviv National University in 1996. In 1996-2000, studied at the graduate school of the university, majoring in mathematical modeling.

In 2000-2003, worked as a laboratory assistant at the Department of Information Systems. Since 2003, has been an assistant at the Department of Discrete Analysis and Intelligent Systems.

In 2021, defended her PhD thesis on the topic “Construction and analysis of h-adaptive finite element scheme for elasticity problems.” Since 2022, in the position of associate professor of the department of Discrete Analysis and Intelligent Systems.

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