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Burak Aksoylu
Burak Aksoylu
Texas A&M University-San Antonio, Mathematics Program Coordinator
Verified email at tamusa.edu - Homepage
Title
Cited by
Cited by
Year
Variational theory and domain decomposition for nonlocal problems
B Aksoylu, ML Parks
Applied Mathematics and Computation 217, 6498-6515, 2011
1432011
Physics guided machine learning using simplified theories
S Pawar, O San, B Aksoylu, A Rasheed, T Kvamsdal
Physics of Fluids 33 (1), 2021
1102021
Results on nonlocal boundary value problems
B Aksoylu, T Mengesha
Numerical Functional Analysis and Optimization 31 (12), 1301-1317, 2010
982010
Multilevel solvers for unstructured surface meshes
B Aksoylu, A Khodakovsky, P Schröder
SIAM Journal on Scientific Computing 26 (4), 1146-1165, 2005
792005
Conditioning analysis of nonlocal integral operators in fractional Sobolev spaces
B Aksoylu, Z Unlu
SIAM Journal on Numerical Analysis 52 (2), 653-677, 2014
572014
Towards a rigorously justified algebraic preconditioner for diffusion problems with high-contrast diffusion problems
B Aksoylu, IG Graham, H Klie, R Scheichl
Computing and Visualization in Science 11 (4), 319-331, 2008
492008
An odyssey into local refinement and multilevel preconditioning III: Implementation and numerical experiments
B Aksoylu, S Bond, M Holst
SIAM Journal on Scientific Computing 25 (2), 478-498, 2003
432003
On a class of nonlocal wave equations from applications
HR Beyer, B Aksoylu, F Celiker
Journal of Mathematical Physics 57 (6), 2016
292016
Optimality of multilevel preconditioners for local mesh refinement in three dimensions
B Aksoylu, M Holst
SIAM Journal on Numerical Analysis 44 (3), 1005-1025, 2006
292006
Nonlocal problems with local Dirichlet and Neumann boundary conditions
B Aksoylu, F Celiker
Journal of Mechanics of Materials and Structures 12 (4), 425-437, 2017
252017
Application and implementation of incorporating local boundary conditions into nonlocal problems
B Aksoylu, HR Beyer, F Celiker
Numerical Functional Analysis and Optimization 38 (9), 1077-1114, 2017
222017
A family of physics-based preconditioners for solving elliptic equations on highly heterogeneous media
B Aksoylu, H Klie
Applied Numerical Mathematics 59 (6), 1159-1186, 2009
212009
Theoretical foundations of incorporating local boundary conditions into nonlocal problems
B Aksoylu, HR Beyer, F Celiker
Reports on Mathematical Physics 80 (1), 39-71, 2017
202017
Nonlocal operators with local boundary conditions in higher dimensions
B Aksoylu, F Celiker, O Kilicer
Advances in Computational Mathematics 45, 453-492, 2019
182019
Nonlocal operators with local boundary conditions: an overview
B Aksoylu, F Celiker, O Kilicer
Handbook of nonlocal continuum mechanics for materials and structures, 1293-1330, 2019
162019
Goal-Oriented Adaptivity and Multilevel Preconditioning for the Poisson-Boltzmann Equation
B Aksoylu, SD Bond, EC Cyr, M Holst
Journal of Scientific Computing 52 (1), 202-225, 2012
142012
Robust multigrid preconditioners for cell-centered finite volume discretization of the high-contrast diffusion equation
B Aksoylu, Z Yeter
Computing and Visualization in Science 13, 229-245, 2010
142010
On nonlocal problems with inhomogeneous local boundary conditions
B Aksoylu, GA Gazonas
Journal of Peridynamics and Nonlocal Modeling 2 (1), 1-25, 2020
132020
An odyssey into local refinement and multilevel preconditioning I: Optimality of the BPX preconditioner
B Aksoylu, M Holst
Institute for Computational Engineering and Sciences, The University of …, 2005
132005
Solving the Einstein constraint equations on multi-block triangulations using finite element methods
O Korobkin, B Aksoylu, M Holst, E Pazos, M Tiglio
Classical and Quantum Gravity 26 (14), 145007, 2009
122009
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