Peter Popov's personal resume

PETER POPOV

Contact Information

Acad. G. Bonchev Str., bl. 25A
Institute for Parallel Processing, Bulgarian Academy of Sciences
Sofia 1113, Bulgaria

Phone: (+359 2) 979 6712

E-mail: ppopov@parallel.bas.bg

Research Interests

Mathematical modeling and numerical approximation of problems in physics and engineering.

Finite Element Methods; Adaptive mesh refinement; Preconditioning of large sparse linear systems.

Multiscale modeling and homogenization of multiphysics problems.

Flow through deformable porous media.

Constitutive modeling and numerical simulations of Shape Memory Alloys.

Education

	2000 - 2005	Ph.D. in Aerospace Engineering, Texas A&M University College Station, TX. Dissertation topic: "Constitutive Modelling of Shape Memory Alloys with Applications to Upscaling of Deformable Porous Media"	GPR 3.7/4.0
	1994 - 1999	M.S. in Applied Mathematics, Sofia University "St. Kliment Ohridski", Sofia, Bulgaria Thesis topic: "Finite element methods for the plane elasticity problem"	GPR 4.0/4.0

Research Experience

	2009-	Postdoc, Institute for Parallel Processing, Bulgarian Academy of Sciences, Sofia, Bulgaria. Current research topic: Multiscale modeling of deformable, nonlinear porous media and numerical (iterative) homogenization.
	2005-2009	Postdoc, Institute for Scientific Computation, Texas A&M University, College Station, TX. Current research topic: Multiscale modeling of deformable, nonlinear porous media and numerical (iterative) homogenization. Numerical methods for the Hamilton-Jacobi equation.
	Spring, 2005	Postdoc, Fraunhofer Institute for Industrial and Applied Mathematics, Kaiserslautern, Germany. Topic: Domain decomposition method for the Navier-Stokes-Brinkman equation.
	2000 - 2005	Graduate Research Assistant, Department of Aerospace Engineering, Texas A&M University, College Station, TX. Topics: Modeling and simulations of structures incorporating Shape Memory Alloys. Constitutive modeling of shape memory alloys. Transient finite element methods for inelastic problems and adaptive mesh refinement. Homogenization and fluid flow through deformable porous media.
	Fall, 2003	Internship, Fraunhofer Institute for Industrial and Applied Mathematics, Kaiserslautern, Germany. Topic: Fluid-Structure Interaction problems and upscaling of properties of deformable porous media.
	1999	Researcher, Central Laboratory for Parallel Processing, Bulgarian Academy of Sciences, Sofia, Bulgaria. Topics: numerical methods for partial differential equations; preconditioning and solution of large systems of algebraic equations arising in finite element discretizations of elasticity problems.

Qualifications

Mechanics
Continuum Mechanics
Mathematical Modeling
Homogenization Theory
Micromechanics

Theory of Elasticity
Wave Propagation in Solids
Plasticity Theory
Active Materials

Numerical Analysis
Finite Element Method
Multigrid
Domain Decomposition
Mixed Methods

Parallel Algorithms
Object-Oriented Design
Code Optimization
Scientific Visualization

Book Chapters

P. Popov and D. Lagoudas Extended SMA Modeling, , In: Shape Memory Alloys: Modeling and Engineering Applications (D.C. Lagoudas, Editor), pages 283--330, Springer, 2008.

Journal Publications

P. Popov, G. Qin, L. Bi, Y. Efendiev, Z. Kang, and J. Li, Multiphysics and Multiscale Methods for Modeling Fluid Flow Through Naturally Fractured Carbonate Karst Reservoirs , SPE Reservoir Evaluation & Engineering, 12(2):218-231, 2009. doi:10.2118/105378-PA
R.F. Sviercoski, P. Popov, B. Travis, A Zeroth and First-Order Homogenized Approximations to Nonlinear Diffusion through Block Inclusions, by an Analytical Approach , Computer Methods in Applied Mechanics and Engineering, 198(30-32):2260-2271, 2009. doi:10.1016/j.cma.2009.02.020
P. Popov, Y. Efendiev, G. Qin, Multiscale Modeling and Simulations of Flows in Naturally Fractured Karst Reservoirs , Communications in Computational Physics, 6: 162-184, 2009.

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O. Iliev, A. Mikelic, P. Popov, Fluid structure interaction problems in deformable porous media , SIAM Multiscale Modeling and Simulation, 7: 93-123, 2008.

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P. Popov, D.C. Lagoudas, A 3-D constitutive model for shape memory alloys incorporating pseudoelasticity and detwinning of self-accommodated martensite , International Journal for Plasticity, 23: 1679-1720, 2007.

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D.C. Lagoudas, P. Entchev, P. Popov, E. Patoor, L.C. Brinson, X. Gao, Shape memory alloys - part II: modeling of polycrystals , Mechanics of Materials, 38(5-6):430-462, 2006. doi:10.1016/j.mechmat.2005.08.003
M. Newman, A. Safjan, P. Popov and D.C. Lagoudas, A non-reflecting layer method for non-linear wave-type equations on unbounded domains with applications to shape memory alloy rods , International Journal for Numerical Methods in Engineering, 62 (15): 2053-2085, 2005.
doi:10.1002/nme.1223
D.C. Lagoudas, K. Ravi-Chandar, K. Sarh, P Popov, Dynamic loading of polycrystalline shape memory alloy rods , Mechanics of Materials, 35: 689-716, 2003. doi:10.1016/S0167-6636(02)00199-0
A. Bekker, J.C. Victory, P Popov, D.C. Lagoudas, Impact induced propagation of phase transformation in a shape memory alloy rod , International Journal of Plasticity, 18 (11): 1425-1647, 2002.

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Proceedings

P. Popov Upscaling of Deformable Porous Media with Applications to Bone Modelling. In BGSIAM'09 Proceedings, December 21-22, 2009, Sofia, Bulgaria, pp. 105-110.
P. Popov, Y. Efendiev, and Y. Gorb Multiscale Modeling and Simulation of Fuid Flows in Highly Deformable Porous Media. In I. Lirkov, S. Margenov, and J. Wasniewski, editors, Large-Scale Scientific Computing, volume 5910 of Lecture notes in computer science. Springer, 2010
P. Popov, Y. Efendiev, Y. Gorb, O. Iliev Multiscale Modeling and Simulation of Fluid Flows in Deformable Porous Media Oberwolfach Reports, 1 (12): 706-709, 2009.
O. Iliev, Z. Lakdawala, J. Willems, V. Starikovicius, and P.Popov Multiscale Problems and Upscaling Simulation of multiscale fitration processes Oberwolfach Reports, 1 (12): 694-696, 2009.
P. Popov and B. Popov A Second Order Central Scheme for Hamilton-Jacobi Equations on Triangular Grids In S. Margenov, L. Vulkov, and J. Wasniewski, editors, 4th International Conference on Numerical Analysis and Applications, Lozenetz, Bulgaria, volume 5434 of Lecture Notes in Computer Science. pp. 476-485, Springer, 2009.
P. Popov, G. Qin, L. Bi, Y. Efendiev, R. Ewing, Z. Kang, J. Li, Multiscale Methods for Modeling Fluid Flow Through Naturally Fractured Carbonate Karst Reservoirs, Proceedings of the SPE Annual Technical Conference and Exhibition, Anaheim, California, SPE 110778, 2007.
P. Popov, G. Qin, L. Bi, Y. Efendiev, R. Ewing, J. Li, Y. Ren,Multi-physics and Multi-scale Methods for Modeling Fluid Flow Through Naturally- Fractured Vuggy Carbonate Reservoirs, Proceedings of the SPE Annual Technical Conference and Exhibition, Kingdom of Bahrain, SPE 105378, 2007.
D.C. Lagoudas, P. Popov, Numerical Studies of Wave Propagation in Polycrystalline Shape Memory Alloy Rods, Proceedings of the SPIE, Volume 5053, pp. 294-304, 2003.
S. Margenov, P. Popov, MIC(0) DD Preconditioning of FEM Elasticity Problems on Non-Structured meshes, LGORITHMY 2000, 15th conference on Scientific Computing, Vysoke Tatry-Podbanske, Slovakia, September 10-15, 2000, proceedings.