K. Wiratama, S. Roberts and K. Duru, Weak imposition of boundary conditions for the gauge formulation of the incompressible Navier-Stokes equations (2020), The ANZIAM Journal of Mathematics, accepted May 2021
K Duru, L. Rannabauer, A.-A. Gabriel and H. Igel, A new discontinuous Galerkin method for elastic waves with physically motivated numerical fluxes (2020), arXiv:1802.06380, Journal of Scientific Computing, accepted May 2021.
L. Rannabauer, A.-A. Gabriel, G. Kreiss and M. Bader, A stable discontinuous Galerkin method for the perfectly matched layer for elastodynamics in first order form (2020) Numerische Mathematik, https://doi.org/10.1007/s00211-020-01160-w.
A. Reinarz, D. E. Charrier, M. Bader, L. Bovard, M. Dumbser, K. Duru, F. Fambri, A.-A. Gabriel, J.-M. Gallard, S. K\"oppel, L. Krenz, L. Rannabauer, L. Rezzolla, P. Samfass, M. Tavelli, T. Weinzierl, ExaHyPE: An Engine for Parallel Dynamically Adaptive Simulations of Wave Problems (2020), Computer Physics Communications, https://doi.org/10.1016/j.cpc.2020.107251.
K. Duru, K. L Allison, M. Rivet, and E. M. Dunham, Dynamic Rupture and Earthquake Sequence Simulations Using the Wave Equation in Second-Order Form, Geophys. J. Int. 219 (2019), 796--815.
K. Duru, A.-A. Gabriel and G. Kreiss, On energy stable discontinuous Galerkin spectral element approximations of the perfectly matched layer for the wave equation, Comput. Methods Appl. Mech. Engrg. 350 (2019) 898--937.
Lion Krischer, Yongki Andita Aiman, Timothy Bartholomaus, Stefanie Donner, Martin van Driel, Kenneth Duru, Kristina Garina, Kilian Gessele, Tomy Gunawan, Sarah Hable, C\'eline Hadziioannou, Mathijs Koymans, John Leeman, Fabian Lindner, Angel Ling, Tobias Megies, Ceri Nunn, Ashim Rijal, Johannes Salvermoser, Sujania Talavera Soza, Carl Tape, Taufiq Taufiqurrahman, David Vargas, Joachim Wassermann, Florian W\"olfl, Mitch Williams, Stephanie Wollherr, Heiner Igel, Seismo-live: An Educational Online Library of Jupyter Notebooks for Seismology, Seismological Research Letters, V 89/6, 2413-2419, doi:10.1785/0220180167 (2018).
R.A. Harris, M. Barall, B. Aagaard, S. Ma, D. Roten, K. Olsen, B. Duan, D. Liu, B. Luo, K. Bai, J.P. Ampuero, Y. Kaneko, A. Gabriel, K. Duru, T. Ulrich, S. Wollherr, Z. Shi, E. Dunham, S. Bydlon, Z. Zhang, X. Chen, S.N. Somala, C. Pelties, J. Tago, V. Cruz-Atienza, J. Kozdon, E. Daub, K. Aslam, Y. Kase, A suite of exercises for verifying 3D dynamic earthquake rupture codes, Seismological Research Letters Seismological Research Letters Volume 89, Number 3.
K. Duru and E. M. Dunham, Dynamic earthquake rupture simulations on nonplanar faults embedded in 3D geometrically complex, heterogeneous Earth models, Journal of Computational Physics 305 (2016) 185–207. pdf
K. Duru, The role of numerical boundary procedures in the stability of perfectly matched layers, SIAM Journal on Scientific Computing, Vol. 38, No. 2, pp. A1171-A1194 (2016). pdf
K. Duru, J. E. Kozdon and G. Kreiss, Boundary conditions and stability of a perfectly matched layer for the elastic wave equation in first order form, Journal of Computational Physics 303 (2015) 372–395. pdf
K. Duru and G. Kreiss, Boundary waves and stability of the perfectly matched layer for the two space dimensional elastic wave equation in second order form, SIAM Journal on Numerical Analysis Vol. 52, No. 6, pp. 2883-2904, (2014). pdf
K. Duru and K. Virta, Stable and high order accurate difference methods for the elastic wave equation in discontinuous media, Journal of Computational Physics, DOI: 10.1016/j.jcp.2014.08.046 (2014). pdf
K. Duru, G. Kreiss and K. Mattsson, Accurate and stable boundary treatment for the elastic wave equations in second order formulation, SIAM Journal on Scientific Computing, 36(6), A2787-A2818 (2014). pdf
K. Duru and G. Kreiss, Numerical interaction of boundary waves with perfectly matched layers in two space dimensional elastic waveguides, Wave Motion, DOI: 10.1016/j.wavemoti.2013.11.002, (2013). pdf
K. Duru, A perfectly matched layer for the wave equation in heterogeneous and layered media, Journal of Computational Physics, DOI: 10.1016/j.jcp.2013.10.022, (2013). pdf
K. Duru and G. Kreiss, Efficient and stable perfectly matched layers for CEM, Applied Numerical Mathematics, DOI: 10.1016/j.apnum.2013.09.005, (2013). pdf
G. Kreiss and K. Duru, Discrete stability of perfectly matched layers for anisotropic wave equations in first and second order formulation, BIT Numerical Mathematics, DOI 10.1007/s10543-013-0426-4 (2013). pdf
K. Duru and G. Kreiss, On the accuracy and stability of the perfectly matched layer in transient waveguides, Journal of Scientific Computing, DOI 10.1007/s10915-012-9594-7 (2012). pdf
K. Duru and G. Kreiss, A well-posed and discretely stable perfectly matched layer for elastic wave equations in second order formulation, Communication in Computational Physics 11 , p 1643-1672, (2012). pdf
K. Duru and G. Kreiss, Stable perfectly matched layers for the Schrodinger equations , Numerical mathematics and advanced applications: 2009, pp, 287-295, Springer–Verlag, Berlin, (2010). pdf
M. Khan, Q. Abbas, K. Duru, Magnetohydrodynamic flow of a Sisko fluid in annular pipe: A numerical study International Journal for Numerical Methods in Fluids Vol 62, issue 10, p 1169–1180, (2010). pdf
K. Duru, K. Mattsson, G. Kreiss, Stable and conservative time propagators for second order hyperbolic systems, Tech. Report, 2011-008, Dept. of Infor. Tech. Uppsala University (2011). pdf