Vitaliy Gyrya Applied Mathematics and Plasma Physics, T-5 Group Mail Stop B284 Los Alamos National Laboratory Los Alamos, NM 87545 Phone: (505)665-2074 Fax:     (505)665-5757 Email: vitaliy_gyrya [at] lanl.gov

Research Interests

• Mimetic discretizations of partial differential equations
• Mathematical modeling of physical and biological systems

Research Posters and Highlights

• M-adaptation for acoustic wave equation
• M-adaptation
• A new error-minimizing strategy for the solution of the acoustic wave equation
• Suspensions of microswimmers at small and moderate concentrations: effective shear viscosity and dynamics
• Mimetic finite differences for modeling Stokes flow on polygonal meshes
• New high-order mimetic finite difference discretization for diffusion-type problems

Peer-Reviewed Publications

• M-adaptation method for acoustic wave equation on rectangular meshes
  with K. Lipnikov, accepted to ENUMATH 2011 Proceedings Volume (2012), LA-UR # 12-10101.

• M-adaptation method for acoustic wave equation on square meshes
  with K. Lipnikov, accepted to Journal of Computational Acoustics (2012), LA-UR # 12-10047.

• Effective shear viscosity and dynamics of suspensions of micro-swimmers from small to moderate concentrations
  with K. Lipnikov, I. Aronson, and L. Berlyand,
  Journal of Mathematical Biology (2010).

• A model of hydrodynamic interaction between swimming bacteria
  with L. Berlyand, I. Aronson, and D. Karpeev,
  Bulletin of Mathematical Biology, online, DOI 10.1007/s11538-009-9442-6 (2009), vol. 72, no. 1, pp. 148-183 (2010).

• Mimetic finite difference method for the Stokes problem on polygonal meshes
  with L. Beirao da Veiga, K. Lipnikov and G. Manzini,
  Journal of Computational Physics, vol. 228, no. 19, pp. 7215-7232 (2009).

• High-order mimetic finite difference method for diffusion problems on polygonal meshes
  with K. Lipnikov,
  Journal of Computational Physics, vol. 227, no. 20, pp. 8841-8854 (2008).

• A Numerical Study of One-Step Models of Polymerization: Frontal vs. Bulk Mode
  with S.A. Cardarelli, D. Golovaty, L.K. Gross, and J. Zhu,
  Physica D, 206 (3-4), pp. 145-165 (2005).

Curriculum Vitæ

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