An Odyssey into Local Refinement and Multilevel Preconditioning III: Implementation and Numerical Experiments. - Burak Aksoylu; Stephen D. Bond; Michael J. Holst (SIAM J. Sci. Comput., 2003)

Multilevel Solvers for Unstructured Surface Meshes. - Burak Aksoylu; Andrei Khodakovsky; Peter Schröder (SIAM J. Sci. Comput., 2005)

Optimality of Multilevel Preconditioners for Local Mesh Refinement in Three Dimensions. - Burak Aksoylu; Michael J. Holst (SIAM J. Numer. Anal., 2006)

Robust multigrid preconditioners for cell-centered finite volume discretization of the high-contrast diffusion equation. - Burak Aksoylu; Zuhal Yeter (Comput. Vis. Sci., 2010)

Results on the Diffusion Equation with Rough Coefficients. - Burak Aksoylu; Horst R. Beyer (SIAM J. Math. Anal., 2010)

Variational theory and domain decomposition for nonlocal problems. - Burak Aksoylu; Michael L. Parks (Appl. Math. Comput., 2011)

Robust multigrid preconditioners for the high-contrast biharmonic plate equation. - Burak Aksoylu; Zuhal Yeter (Numer. Linear Algebra Appl., 2011)

Goal-Oriented Adaptivity and Multilevel Preconditioning for the Poisson-Boltzmann Equation. - Burak Aksoylu; Stephen D. Bond; Eric C. Cyr; Michael J. Holst (J. Sci. Comput., 2012)

Robust preconditioners for the high-contrast Stokes equation. - Burak Aksoylu; Zuhal Unlu (J. Comput. Appl. Math., 2014)

Conditioning Analysis of Nonlocal Integral Operators in Fractional Sobolev Spaces. - Burak Aksoylu; Zuhal Unlu (SIAM J. Numer. Anal., 2014)

Comparison of Nonlocal Operators Utilizing Perturbation Analysis. - Burak Aksoylu; Fatih Celiker (ENUMATH, 2015)

Conditioning and error analysis of nonlocal operators with local boundary conditions. - Burak Aksoylu; Adem Kaya (J. Comput. Appl. Math., 2018)

Nonlocal operators with local boundary conditions in higher dimensions. - Burak Aksoylu; Fatih Celiker; Orsan Kilicer (Adv. Comput. Math., 2019)

Correction to: Nonlocal operators with local boundary conditions in higher dimensions. - Burak Aksoylu; Fatih Celiker; Orsan Kilicer (Adv. Comput. Math., 2019)

On smoothers for multigrid of the second kind. - Burak Aksoylu; Adem Kaya (Numer. Linear Algebra Appl., 2019)

Physics guided machine learning using simplified theories. - Suraj Pawar; Omer San; Burak Aksoylu; Adil Rasheed; Trond Kvamsdal (CoRR, 2020)