Kariyer:

• Doç. Dr. (TOBB Ekonomi ve Teknoloji Üniversitesi, Matematik Bölümü, 2011-halen)

• Yar. Doç. Dr. (TOBB Ekonomi ve Teknoloji Üniversitesi, Matematik Bölümü, 2010-2011)

• Adjunct Faculty (Louisiana State University, Department of Mathematics, 2010-halen)

• Adjunct Faculty (University of New Mexico, Department of Mathematics and Statistics, 2010-halen)

• Asst. Prof. (Louisiana State University, Department of Mathematics, 2005-2010)

• Asst. Prof. (Louisiana State University, Center for Computation and Technology, 2005-2010)

• Postdoc (The University of Texas at Austin, Institute for Computational and Engineering Sciences, 2003-2005)

• Postdoc (California Institute of Technology, Department of Computer Science, 2001-2003)

• Research Asst. (University of California, San Diego, Department of Mathematics, 1996-2001)

• Teaching Asst. (University of California, Irvine, Department of Mathematics, 1994-1996)

• Araş. Gör. (Orta Doğu Teknik Üniversitesi, Matematik Bölümü, 1993-1994)

Araştırma Alanları:

• Sayısal analiz, bilimsel hesaplama, kısmi diferansiyel denklemlerin sayısal çözümleri, önhazırlama, tekrarlamalı çözücüler, peridinamik için ölçeklenebilir çözücüler.

• Numerical analysis, scientific computing, numerical solutions to partial differential equations, preconditioning, iterative solvers, scalable solvers for peridynamics.

Verdiği Dersler:

2011-2012 Bahar Dönemi:

• MAT 562 Sayısal Lineer Cebir (Yüksek Lisans Dersi)
• MAT 112 Analitik Geometri (Lisans Dersi)
• MAT 496 Proje Dersi II (Lisans Dersi)

2011-2012 Güz Dönemi:

• MAT 521 Sayısal Analiz (Yüksek Lisans Dersi)
• MAT 215 Diferensiyel Denklemler (Lisans Dersi)
• MAT 495 Proje Dersi I (Lisans Dersi)

2010-2011 Bahar Dönemi:

• MAT 102 Matematik II (Lisans Dersi)
• MAT 395 Numerical Analysis (Lisans Dersi)
• MAT 496 Proje Dersi II (Lisans Dersi)

2010-2011 Güz Dönemi:

• MAT 101 Matematik I (2 adet) (Lisans Dersi)
• MAT 495 Proje Dersi I (Lisans Dersi)

Üyesi Olduğu Kuruluşlar:

• SIAM (Society of Industrial and Applied Mathematics)

Journal Publications

• B. Aksoylu, S.D. Bond, E.C. Cyr, and M. Holst, Goal-oriented error estimation and multilevel preconditioning for the Poisson-Boltzmann equation, Journal of Scientific Computing, 52 (2012), pp. 202--225, doi:10.1007/s10915-011-9539-6.

• B. Aksoylu and M.L. Parks, Variational theory and domain decomposition for nonlocal problems, Applied Mathematics and Computation, 217 (2011), pp. 6498-6515,  doi:10.1016/j.amc.2011.01.027.

• B. Aksoylu and Z. Yeter, Robust multigrid preconditioners for the high-contrast biharmonic plate equation, Numerical Linear Algebra with Applications, (2010), doi:10.1002/nla.761.

• B. Aksoylu and T. Mengesha, Results on nonlocal boundary value problems, Numerical Functional Analysis and Optimization, 31 (2010), pp. 1301--1317.

• B. Aksoylu and Z. Yeter, Robust multigrid preconditioners for cell-centered finite volume discretization of the high-contrast diffusion equation, Computing and Visualization in Science, 13 (2010), pp. 229--245 .

• B. Aksoylu and H. R. Beyer, Results on the diffusion equation with rough coefficients, SIAM Journal on Mathematical Analysis, 42 (2010), pp. 406--426.

• B. Aksoylu and H. R. Beyer, On the characterization of asymptotic cases of the diffusion equation with rough coefficients and applications to preconditioning, Numerical Functional Analysis and Optimization, 30 (2009), pp. 405--420.
  

• O. Korobkin, B. Aksoylu, M. Holst, E. Pazos, and M. Tiglio, Solving the Einstein constraint equations on multi-block triangulations using finite element methods, Classical Quantum Gravity, 26 (2009) p.145007(28 pp.).

• B. Aksoylu and H. Klie, A family of physics-based preconditioners for solving elliptic equations on highly heterogeneous media, Applied Numerical Mathematics, 59 (2009), pp. 1159--1186.

• B. Aksoylu, I. G. Graham, H. Klie, and R. Scheichl, Towards a rigorously justified algebraic preconditioner for high-contrast diffusion problems, Computing and Visualization in Science, 11 (2008) pp. 319--331.

• B. Aksoylu and M. Holst, Optimality of multilevel preconditioners for local mesh refinement in three dimensions, SIAM Journal on Numerical Analysis, 44 (2006), pp. 1005--1025.

• B. Aksoylu, A. Khodakovsky, and P. Schröder, Multilevel solvers for unstructured surface meshes, SIAM Journal on Scientific Computing, 26 (2005), pp. 1146--1165.

• B. Aksoylu, S. Bond, and M. Holst, An odyssey into local refinement and multilevel preconditioning III: Implementation and numerical experiments, SIAM Journal on Scientific Computing, 25 (2003), pp. 478--498.

 

Conference Proceedings

• B. Aksoylu and Z. Unlu, Numerical study of the high-contrast Stokes equation and its robust preconditioning, Advances in Applied Mathematics and Approximation Theory, Contributions from AMAT 2012, Springer Proceedings in Mathematics & Statistics, Anastassiou, George A.; Duman, Oktay (Eds.), 41, (2013).

• B. Aksoylu, T. Mengesha, and M. L. Parks, Variational Theory and Domain Decomposition for Nonlocal Problems, Extended abstract for 11th US National Congress on Computational Mechanics (USNCCM11).

• B. Aksoylu, I. G. Graham, H. Klie, and R. Scheichl, A rigorously justified robust algebraic preconditioner for high-contrast diffusion problems, Extended Abstract for the 8th World Congress on Computational Mechanics (WCCM8) and the 5th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2008).

• B. Aksoylu and H. Klie, Physics-based preconditioners for solving PDEs on highly heterogeneous media, In proceedings of ICIAM 2007, Proc. Appl. Math. Mech., 7 (2007), pp. 1020703-1020704.

 

Technical Reports and Miscellanea

• B. Aksoylu and Z. Yeter, Robust multigrid preconditioners for the high-contrast biharmonic plate equation, tech. rep., LSU CCT-TR-2009-15, (2009), arXiv 0910.0487.

• B. Aksoylu and Z. Yeter, Robust multigrid preconditioners for cell-centered finite volume discretization of the high-contrast diffusion equation, tech. rep., LSU CCT-TR-2009-7, (2009), arXiv 0904.1885.

• B. Aksoylu, D. Bernstein, S.D. Bond, and M. Holst, Generating Initial Data in General Relativity Using Adaptive Finite Element Methods, tech. rep., LSU CCT-TR-2008-9, (2008), arXiv 0801.3142.

• B. Aksoylu, I. G. Graham, H. Klie, and R. Scheichl, Towards a rigorously justified algebraic preconditioner for high-contrast diffusion problems, tech. rep., UT-Austin ICES Report 07-35, (2007).

• B. Aksoylu and H. Klie, Physics-based preconditioners for solving PDEs on highly heterogeneous media, tech. rep., LSU CCT-TR-2007-1, (2007).

• B. Aksoylu, H. Klie, and M. F. Wheeler, Physics-based preconditioners for porous media flow applications, tech. rep., UT-Austin ICES Report 07-08, (2007).

• B. Aksoylu and M. Holst, An odyssey into local refinement and multilevel preconditioning II: Stabilizing hierarchical basis methods, tech. rep., UT-Austin ICES Report 05-04, (2005).

• B. Aksoylu and M. Holst, An odyssey into local refinement and multilevel preconditioning I: Optimality of the BPX preconditioner, tech. rep., UT-Austin ICES Report 05-03, (2005).

• B. Aksoylu, M. Holst, and S. Bond, Theoretical and implementation aspects of the BPX preconditioner in the three dimensional local mesh refinement setting}}, tech. rep., UT-Austin ICES Report 04-50, (2004).

• B. Aksoylu, Adaptive multilevel numerical methods with applications in diffusive biomolecular reactions, Ph.D. Dissertation, Department of Mathematics, Computational and Applied Mathematics Group, University of California, San Diego, (2001).

• N. A. Baker, M. J. Holst, B. Aksoylu, R. E. Bank, J. A. McCammon, D. Sept, and F. Wang, Toward Computational Cell Biology, San Diego Supercomputer Center quarterly publication, EnVision, Vol. 16, No. 3, (2000).

• Tubitak 1001 MAG 112M891, co-PI, Development of a method to predict strength and failure of layered composites using peridynamic theory, 01.05.2013-30.04.2015.

• Tubitak 1001 TBAG 112T240, PI (single investigator), Solvers for peridynamics applications, 01.12.2012-30.11.2014.

• EU Marie Curie Career Integration Grant 293978, PI (single investigator), Numerical methods for nonlocal problems, 12.09.2011-11.09.2015.

• NSF DMS 1016190, PI (single investigator), Numerical methods for heterogeneity and nonlocality, 15.08.2010-31.07.2013.

• NSF CNS 0540374, Co-PI, DDDAS--TMPR: DynaCode: A general DDDAS framework with coast and environment modeling applications, 01.01.2006-31.12.2006.

• NSF LA EPSCoR, PI (single investigator), High performance solvers for atomistic-to-continuum modeling, extended stay at Sandia National Laboratories, summer 2008.

• LSU CCT Focus Areas Grant, Co-PI, Utilizing pseudospectral tools to analyze stability of evolution equations,  01.01.2007-31.05.2007.

• LSU CCT General Development Program, PI, Interplay between finite element method and evolution of Einstein's equations, 01.01.2006-30.06.2007.

• Postdoctoral fellowship, The University of Texas at Austin, Institute for Computational and Engineering Sciences, 2003-2005.

• Predoctoral fellowship, Burroughs Wellcome Fund interdisciplinary research (La Jolla Interfaces in Science), 1999-2001.