Publications

Journal Papers in Review:

• M. Kütük and H. Yücel, Energy Dissipation Preserving Physics Informed Neural Network for Allen-Cahn Equations, 2024.
• P. Çiloğlu and H. Yücel, An adaptive algorithm based on stochastic discontinuous Galerkin for convection dominated equations with random data, 2023.

Journal Papers:

• K. Anapa and H. Yücel, A Strategy Based on Statistical Modelling and Multi-Objective Optimization to Design a Dishwasher Cleaning Cycle, Expert Systems with Applications 249, 123703, 2024.
• P. Çiloğlu and H. Yücel, Stochastic discontinuous Galerkin methods for robust deterministic control of convection diffusion equations with uncertain coefficients, Advances in Computational Mathematics, 49, 16, 2023.
• S. Can Toraman and H. Yücel, A stochastic gradient algorithm with momentum terms for optimal control problems governed by  a convection-diffusion equation with random diffusivity, Journal of Computational and Applied Mathematics 422, 114949, 2023.
• P. Çiloğlu and H. Yücel, Stochastic discontinuous Galerkin methods with low–rank solvers for convection diffusion equations, Applied Numerical Mathematics 172, 157-185, 2022.
• L. Eksert, H. Yücel, and E. Onur, Intra- and Inter-cluster link scheduling in CUPS-based ad hoc networks, Computer Networks 185, 2021.
• H. Yücel, Goal–oriented a posteriori error estimation for Dirichlet boundary control problems, Journal of Computational and Applied Mathematics 381, 2021.
• H. Yücel, M. Stoll and P. Benner, Adaptive discontinuous Galerkin approximation of optimal control problems governed by transient convection-diffusion equations, Electronic Transactions on Numerical Analysis (ETNA) 48, 407–434, 2018.
• M. Stoll and H. Yücel, Symmetric interior penalty Galerkin method for fractional-in-space phase-field equations, AIMS Mathematics 3(1), 66-95,  2018.
• B. Karasözen, M. Uzunca, A. Sariaydin Filibelioglu and H. Yücel, Energy stable discontinuous Galerkin finite element method for the Allen-Cahn equation, International Journal of Computational Methods 15(3), 1850013, 2018.
• P. Benner and H. Yücel, Adaptive symmetric interior penalty Galerkin method for boundary control problems, SIAM Journal on Numerical Analysis 55(2), 1101-1133, 2017.
• M. Uzunca, T. Küçükseyhan, H. Yücel and B. Karasözen, Optimal control of convective FitzHugh-Nagumo equation, Computers & Mathematics with Applications 73(9), 2151-2169, 2017.
• H. Yücel, M. Stoll and P. Benner, A discontinuous Galerkin method for optimal control problems governed by a system of convection-diffusion PDEs with nonlinear reaction terms, Computers & Mathematics with Applications 70(10), 2414-2431, 2015.
• H. Yücel and P. Benner, Adaptive discontinuous Galerkin methods for state constrained optimal control problems governed by convection diffusion equations, Computational Optimization and Applications 62(1), 291-321, 2015.
• Z. K. Seymen, H. Yücel and B. Karasözen, Distributed optimal control of time-dependent diffusion-convection-reaction equations using space-time discretization, Journal of Computational and Applied Mathematics (261), 146-157, 2014.
• T. Akman, H. Yücel and B. Karasözen, A priori error analysis of the upwind symmetric interior penalty Galerkin (SIPG) method for the optimal control problems governed by unsteady convection diffusion equations, Computational Optimization and Applications (57), 703-729, 2014.
• H. Yücel and B. Karasözen, Adaptive symmetric interior penalty Galerkin (SIPG) method for optimal control of convection diffusion equations with control constraints, Optimization (63), 145-166, 2014.
• H. Yücel, M. Stoll and P. Benner, Discontinuous Galerkin finite element methods with shock-capturing for nonlinear convection dominated models, Computers & Chemical Engineering (58), 278-287, 2013.

Conference Proceedings (Refereed) Published:

• H. Yücel, Residual based a posteriori error estimation for Dirichlet boundary control problems, ESAIM: ProcS 71 185-195, 2021.
• H. Yücel, and P. Benner, Distributed optimal control problems governed by coupled convection dominated PDEs with control constraints, in Assyr Abdulle, Simone Deparis, Daniel Kressner, Fabio Nobile, and Marco Picasso: Numerical Mathematics and Advanced Applications – ENUMATH 2013, Lecture Notes in Computational Science and Engineering, Springer International Publishing, 469-478, 2015.
• H. Yücel, and B. Karasözen, Optimal control of diffusion-convection-reaction equations using upwind symmetric interior penalty Galerkin (SIPG) method, in Stavros G. Stavrinides, Santo Banerjee, Suleyman Hikmet Caglar, Mehmet Ozer: Chaos and Complex Systems, Springer Berlin Heidelberg, 83-94, 2013.
• H. Yücel, M. Heikenschloss, and B. Karasözen, Distributed optimal control of diffusion-convection-reaction equations using discontinuous Galerkin methods, in Andrea Cangiani, Ruslan L. Davidchack, Emmanuil Georgoulis, Alexander N. Gorban, Jeremy Levesley, Michael V. Tretyakov: Numerical Mathematics and Advanced Applications 2011, Springer Berlin Heidelberg, 389-397, 2013.