Research interests

  • Discretization methods for PDEs (isogeometric analysis, meshless methods)
  • Computer aided geometric design (applications in isogeometric analysis)

Publications

Journal publications

  1. S. Sajavičius. Hyperpower least squares progressive iterative approximation. Journal of Computational and Applied Mathematics, 422, 2023, 114888. https://doi.org/10.1016/j.cam.2022.114888 [Download PDF]
  2. S. Sajavičius, T. Takacs. Imposing nonlocal boundary conditions in Galerkin-type methods based on non-interpolatory functions. Computers and Mathematics with Applications, 80(12), 2020, pp. 2877–2895. https://doi.org/10.1016/j.camwa.2020.09.016 [Download PDF]
  3. J. Martín-Vaquero, S. Sajavičius. The two-level finite difference schemes for the heat equation with nonlocal initial condition. Applied Mathematics and Computation, 342, 2019, pp. 166–177. https://doi.org/10.1016/j.amc.2018.09.025 [Download PDF]
  4. S. Sajavičius. Radial basis function collocation method for an elliptic problem with nonlocal multipoint boundary condition. Engineering Analysis with Boundary Elements, 67, 2016, pp. 164–172. https://doi.org/10.1016/j.enganabound.2016.03.010 [Download PDF]
  5. S. Sajavičius. Radial basis function method for a multidimensional linear elliptic equation with nonlocal boundary conditions. Computers and Mathematics with Applications, 67(7), 2014, pp. 1407–1420. https://doi.org/10.1016/j.camwa.2014.01.014 [Download PDF]
  6. S. Sajavičius. Optimization, conditioning and accuracy of radial basis function method for partial differential equations with nonlocal boundary conditions—A case of two-dimensional Poisson equation. Engineering Analysis with Boundary Elements, 37(4), 2013, pp. 788–804. https://doi.org/10.1016/j.enganabound.2013.01.009 [Download PDF]
  7. S. Sajavičius. Stability of the weighted splitting finite-difference scheme for a two-dimensional parabolic equation with two nonlocal integral conditions. Computers and Mathematics with Applications, 64(11), 2012, pp. 3845-3899. DOI: https://doi.org/10.1016/j.camwa.2012.08.009 [Download PDF]
  8. S. Sajavičius. On the eigenvalue problems for differential operators with coupled boundary conditions. Nonlinear Analysis: Modelling and Control, 15(4), 2010, pp. 493-500. https://doi.org/10.15388/NA.15.4.14320 [Download PDF]
  9. S. Sajavičius. On the eigenvalue problems for finite-difference operators with coupled boundary conditions. Šiauliai Mathematical Seminar, 5(13), 2010, pp. 87-100 [Download PDF]
  10. S. Sajavičius, M. Sapagovas. Numerical analysis of the eigenvalue problem for one-dimensional differential operator with nonlocal integral conditions. Nonlinear Analysis: Modelling and Control, 14(1), 2009, pp. 115-122. https://doi.org/10.15388/NA.2009.14.1.14535 [Download PDF]

Book chapter

  1. S. Sajavičius, B.Jüttler, J. Špeh. Template mapping using adaptive splines and optimization of the parameterization. In: C. Giannelli and H. Speleers (eds.) Advanced Methods for Geometric Modeling and Numerical Simulation, Springer INdAM series, Vol. 35, pp. 217–238, Springer, Cham, 2019. https://doi.org/10.1007/978-3-030-27331-6_9 [Download PDF]

Conference publications

  1. S. Sajavičius. The splitting finite-difference scheme for two-dimensional heat conduction equation with four nonlocal integral conditions. In: J. Eberhardsteiner, H. J. Böhm, F. G. Rammerstorfer (eds.) CD-ROM Proceedings of the 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012), Vienna, Austria, September 10–14, 2012, CD-ROM, Paper ID 1081, 12 p., Vienna, Austria, 2012.
  2. S. Sajavičius. On the stability of fully-explicit finite-difference scheme for two-dimensional parabolic equation with nonlocal conditions. In: B. Murgante, O. Gervasi, A. Iglesias, D. Taniar, B. O. Apduhan (eds.) Computational Science and Its Applications – ICCSA 2011, International Conference, Santander, Spain, June 20-23, 2011, Proceedings, Part IV. Lecture Notes in Computer Science, 6785, pp. 1-10, Springer-Verlag Berlin Heidelberg, 2011. https://doi.org/10.1007/978-3-642-21898-9_1
  3. S. Sajavičius. On the stability of locally one-dimensional method for two-dimensional parabolic equation with nonlocal integral conditions. In: J. C. F. Pereira, A. Pereira, J. M. C. Sequeira (eds.) Proceedings of the V European Conference on Computational Fluid Dynamics (ECCOMAS CFD 2010), Paper ID 01668, 11 p., Lisbon, Portugal, 2010.
  4. S. Sajavičius. On the stability of alternating direction method for two-dimensional parabolic equation with nonlocal integral conditions. In: V. Kleiza, S. Rutkauskas, A. Štikonas (eds.) Proceedings of International Conference Differential Equations and Their Applications (DETA 2009), pp. 42-48, Technologija, Kaunas, Lithuania, 2009.

Technical reports

  1. S. Sajavičius, B.Jüttler and J. Špeh. Template mapping using adaptive splines and optimization of the parameterization. NFN Technical Report No. 78, 2019 [Download PDF]
  2. Optimization framework integrating the volumetric approaches, adaptive refinement procedures and the new shape deformation techniques. MOTOR Project D5.2, 2018 [Confidential]
  3. Report on shape deformation techniques based on volumetric approaches. MOTOR Project D2.4, 2018 [Download PDF]
  4. Report and prototype software for geometry-aware block structuring and volume parameterization MOTOR Project D2.3, 2017 [Download PDF]
  5. Report and prototype software for multivariate adaptive spline technology. MOTOR Project D2.1, 2016 [Download PDF]

Extended abstracts

  1. S. Sajavičius. The splitting finite-difference schemes for two-dimensional parabolic equation with nonlocal weighted integral conditions. In: S. Repin, T. Tiihonen, T. Tuovinen (eds.) Proceedings of ECCOMAS Thematic Conference on Computational Analysis and Optimization (ECCOMAS CAO 2011), pp. 81–84, Jyväskylä, Finland, 2011.
  2. S. Sajavičius. The splitting finite-difference schemes for two-dimensional parabolic equation with nonlocal conditions. In: A. Eriksson and G. Tibert (eds.) Proceedings of NSCM23: the 23rd Nordic Seminar on Computational Mechanics / Technical report 2010:07, pp. 345-348, Stockholm, Sweden, 2010.
  3. S. Sajavičius. The stability of alternating direction method for two-dimensional parabolic equation with nonlocal integral conditions. In: E. Lund, L. Damkilde, A. S. Andersen, E. Kristensen (eds.) DCE Technical Memorandum No. 11 / Proceedings of the Twenty Second Nordic Seminar on Computational Mechanics, pp. 87-90, Aalborg, Denmark, 2009.

Participation in international conferences

Projects

  • MOTOR – Multi-ObjecTive design Optimization of fluid eneRgy machines (funded by European Commission through Horizon 2020 programme, project reference: 678727), 2015–2018
    More information: CORDIS
  • BalticGrid-II projectimage (funded by the EU within the framework of the 7th Framework Programme, Contract No. 223807), 2010
  • Development of Bioelectrocatalysis for Synthesis and Analysis (BIOSA), #N–08007, Lithuanian State Science and Studies Foundation, 2008
  • Computer Simulation of the Behavior of Heterogeneous Processes and Systems (MODELITA), #C–03048, Lithuanian State Science and Studies Foundation, 2005, 2006