Yarema Savula

Position: Chairperson, Applied Mathematics Department

Scientific degree: Doctor of Physical and Mathematical Sciences

Academic status: Professor

Phone (office): (032) 239-41-86

Email: savula@lnu.edu.ua

Research interests

(i) main field
Mathematical modelling in Mechanics,
Mathematical modelling of Heat and Mass Transfer,
Finite Element Method, Boundary Element Method
(ii) other fields
Mathematical modelling in Biology Medical Scienses,

(iii)current research interest
Heterogeneous Multiscale Modeling in Computational Mechanics
Heterogeneous Multiscale Modeling in Computational Heat and Mass Transfer



– Number of papers in refereed journals: 250
– Number of communications to scientific meetings: 70
– Number of books: 5

Recent selected publications
1. Savula Ja., Kossak O., Budz I. Adaptive models and finite element method for dynamics analysis of structures //Proceeding Intern. AMSE Conference “Applied Modeling and Simulation”.-Lviv, 1993.- C. 213-222.
2. Kossak O., Savula Ya. Dimention adaptine numerical analysis of free vibrations of elastic structures//Rubetinul institutulri polytechnic din Yazi.-1995.‚NXLI.- C.1-8.
3. P.Hrycak, O.Kossak. Extention of Thermal Entry Problem in Power Law Non-Newtonian Fluids to Higher Eigenvalues. Proceedings 15th Canadian Congress of Applied Mechanics, 1995, volume 2, pp.598-599.
4. Kossak O.S., Kopytko M.F., Savula Y.G. Comparison Analysis on the Deformation Processes of the Non-Homogeneous Structures//C. Mechanics of Solid Deformable Body: Proceedings of the YUCTAM Vrnjacka Banja’97: XXII Yugoslavs Congress of Theoretical and Applied Mechanics, June 2.-June 7,1997.-Vrnjacka Banja,1997.-P.186-189.
5. Yarema Savula, Herbert Mang, Ivan Dyyak, Natalia Pauk. Coupled bondary and finite tlement analysis of a special class of two-dimensional problems of the theory of elasticity // Computer and Structures 75 (2000) С.157-165.
6. Grigorenko Ya.M., Savula Ya.H., Kossak O.S. Stress-strain analysis of elastic bodies on the basis of a heterogeneous mathematical model // Int. Appl. Mech. – 2000. -36, № 12. – Pp. 1595-1604 .
7. Ya. Savula, O. Коssak. Free vibration numerical modeling of the elastic bodies with thin coating // Matematuchni Metody I Phizyko-Matematychni Polia (Mathematical methods and Physics and Mathematical fields), 42 т., № 1. Lviv. 1999, p. 118-124 (in Ukrainian).
8. Savula Y.H., Dyyak I.I., Krevs V.V. Heterogeneous mathematical models in numerical analysis of structures // Computers & Mathematics with applications 42, (2001) 1201-1216.
9. Y.Savula, N.Savula Static analysis of structures on the base of heterogeneous models. Metal structures – design, fabrication, economy, Jarmaj&Farkas (eds). Proc. Internat. Conf. on Metal Structures – ICM-03. Miskolc, Hungary, 2003. Millpress, Rotterdam, Netherlands, 2003. P. 381-385.
10. Savula Ya.H., Savula N. Ya. Shshukin V. Finite element analysis based on heterogeneous models. Journal of Computational and Applied Mechanics, Vol. 5., No.1., (2004), pp. 129-140.
11. Mukha I.S., Savula Ya. H. Nonlinear deformation and stability analysis of thin-walled compound structures. Proceedings of the 5 -th International Conference on Computation of Shell and Spatial Structures, Salzburg, Austria, Online publication, 2005.
12. Savula Y.H., Shcherbatyy M. V, Ivankiv K. S. Simulative approach to solution of optimal problems of shell construction // Journal of Applied Computer Science. Vol. 12. No 2 (2004), pp. 87 – 106.
13. Dyyak I.I., Savula Y.H. Coupled boundary-finite element schemes for investigation of the heterogeneous mechanical problems // V- th International Conference INTERPOR – Multifunctional porous materials: modeling, experiments and numerical methods. Volume of extended abstracts. Bydgoszcz, 2006. P. 33-34.
14. Savula Ya. Numerical analysis of advection diffusion problem in porous media // V- th International Conference INTERPOR – Multifunctional porous materials: modeling, experiments and numerical methods. Volume of extended abstracts. Bydgoszcz, 2006. P. 11.
15. Savula Ya., Vynnyts’ka L. Computer simulation of stress-strain state of elasticbody with thin inclution. Abstract book. 5-th International workshop on functional and nanostructured materials. Lviv. – 2008. P.45.
16. Savula Ya. Fitting models and parameter estimation for ordinary differential equations /Savula Ya., Shcherbata H., Shcherbatyy M. // Intern.Conf. “Problems of Decision Making Under Uncertainties” (PDMU_2009), April 27-30, 2009: Abstracts. – Skhidnytsia, Ukraine. – 2009. – P. 39.
17. Y. H. Savula, K. Jarmai, I. S. Mukha Analysis of shells reinforced by massive stiffening ribs// International Applied Mechanics. Springer, New York- .2008, v. 44, №11.- p. 1309-1318. (Published 2, Aprill, 2009).
18. Savula Ya., Shcherbatyj М., Shcherbata H. Optimization of infection disease processes modeled by nonlinear delay differential equations // Physics and Mathematics Modeling and Information Technologies , 2010, No.11, P. 169- 177.
19. Y.Savula. Mathematical modeling and numerical analysis of elastic body with thin inclusion. L. Vynnytska, Y.Savula // Computational Mechanics. Vol.49,No.5,2012.-pp.565-575.
20. Savula Ya. Numerical investigation of plain strain state for a body with thin cover using do¬main decomposition./ I. Dyyak, Ya. Savula, A.Styahar // Journal of Numerical & Applied Mathematics. 2012, №3(109).-C.23- 33.
21. Savula Ya. Sensitivity analysis os solutions of two-dimentional admixture heterodiffusion problems with respect to perturbation of medium parameters /Savula Ya., Shcherbata H., Shcherbatyy M.// Фізико-математичне моделювання та інформаційні технології, 2014, Вип.19, с. 157- 168.
22. Savula Ya.H. FEM elements enriched with mesh free functions: overview and application / Bekhta M.I., Savula Ya.H. //Mathematical modeling and computing. – Національний університет «Львівська політехніка» 1, 37-51 (2014).
23. Ya. Savula. On the convergence of domain decomposition algorithm for the body with thin inclusion / A. Styahar, Ya. Savula // Acta Mechanica et Automatica. – 2015. – Vol. 9, No. 1 (31). – P. 27–32.
24. Н.Сподар. Обчислювальні аспекти різномасштабного методу скінченних елементів / Н.Сподар, Я. Савула // Фіз.-мат. моделювання та інф. технології. – 2016. – №23. – С. 169–177.
25. Сподар Н. Застосування різномасштабного методу методу скінченних елементів до розв’язування задач адвекції-дифузії /Н.Сподар, Я.Савула // Вісник Львівського університету. Серія прикладна математика та інформатика. В.24. 2016. С.92 – 100.
26. Styahar A.O. Numerical analysis of the stress-strain state of a body with thin inclusion by the domain decomposition method / Styahar A.O. , Savula Ya.H., Dyyak I.I. // Journ. Of Mathem. Scien.-Sept.,2016, Vol.217,Iss, pp 283-298.

27. I.Kryven, V. Kukharskyy, Ya. Savula Stabilization with residiul-free bubbles for advection-dominated
transport equations // Cornell University Library, arXiv:1604.03781v1[math.NA]. 2016. 11-P.
28. Mazuriak N. Numerical analysis of the advection-diffusion problemsIn thin courvilinear channel based on multiscale finite element method / N. Mazuriak, Ya. Savula //Mathematical Modeling and Computing, 2017, V.4, No.1, pp. 59-68.
29. Diakonniuk L.M. Numerical investigation of the problem of cancer tumor growth /L.M.Diakoniuk,Ya.H.Savula, A.V.Kavetsky, Yu.O. Yashchuk// Матеріали міжнародної наукової конференції “Українська конференція з прикладної математики”, 28-30 вересня 2017, Львів, 2017, сс. 38-40.
30. Savula Ya. Numerical analisys of heterogeneous model for elastic body with thin flexible inclusion / Savula Ya.// Матеріали міжнародної наукової конференції “Українська конференція з прикладної математики”, 28-30 вересня 2017, Львів, 2017, сс. 95-96.
31. Savula Ya.H., Numerical solution of the multiscale elasticity problems for the structures with thin covers / Savula Ya.H., A. Styahar // Матеріали міжнародної наукової конференції “Українська конференція з прикладної математики”, 28-30 вересня 2017, Львів, 2017, с. 96.


Date and place of birth: 14.05.1946, Stryj, Lviv Region, Ukraine ;

Education (degrees, dates, universities)

Master, 1969, Ivan Franko National University of Lviv;
Kandidate of Sciences (physics and mathematics), 11. 07. 1973, Ivan Franko National University of Lviv;
Doctor of Sciences (physics and mathematics), 19.07.1987, Kazan University, Russia;
1976 – scientific internship at the Lomonosov State University of Moscow;
1977 – 1978 scientific internship at the Brno University of Technology;
1998 -1999 scientific internship at the Vienna University of Technology;

Career/Employment (employers, positions and dates)

Assistant, Ivan Franko National University of Lviv, from 1972 to 1974;
Docent, Ivan Franko National University of Lviv, from 1974 to 1988;
Professor, Ivan Franko National University of Lviv, from 1988 to1989;
Head of Department of Applied Mathematics, Ivan Franko National University of Lviv, from 1989 to 2014;
Dean of Faculty of Applied Mathematics and Informatics, Ivan Franko National University of Lviv, from 1996 to 2015;
Head of Department of Applied Mathematics, Ivan Franko National University of Lviv, from 2016;

Fellowships, Membership of Professional Societies

Member of National Committee of Theoretical and Applied Mechanics;
Member of Ukrainian Academy of Science of High School;
1995 – Team Leader of the Eurasia Grant “ Connection of the Lviv University to the Internet”;
2001-2004 Team Leader of the Intas Grant No: 00751;
2005 – NATO scholarship at the Miskolc University, Hungary;
2009-2010 Team Leader of the TEMPUS Grant HES-00232-2008 “Educational Centers Network on Modern Technologies of Local Governing”,
2009, 2010 Lecturer of IX and X International Economic Forum –Lviv Truskavets;
2012, Team member of Grant “Education for Entrepreneurship and Innovation (E4E&I)”, Stockholm University, Sweden.
2012-2014, Team member of Tempus grant EARL: Eastern-European Qualification Framework in the Field of Informatics and Management.


 Honored Worker of Education of Ukraine.
Honored Professor of Lviv University.