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A Review of FE-FFT-Based Two-Scale Methods for Computational Modeling of Microstructure Evolution and Macroscopic Material Behavior2022 Archives of Computational Methods in Engineering article Engineering Composite Material Mechanics Open access
Christian Gierden, Julian Kochmann, Johanna Waimann, Bob Svendsen, Stefanie Reese
77citations -
Efficient Implementation of Modern Entropy Stable and Kinetic Energy Preserving Discontinuous Galerkin Methods for Conservation Laws2023 ACM Transactions on Mathematical Software article Engineering Computational Fluid Dynamics and Aerodynamics Open access
Hendrik Ranocha, Michael Schlottke‐Lakemper, Jesse Chan, Andrés Mauricio Rueda-Ramírez, Andrew Ross Winters, Florian Hindenlang, +1 more
19citations -
On Error-Based Step Size Control for Discontinuous Galerkin Methods for Compressible Fluid Dynamics2023 Communications on Applied Mathematics and Computation article Engineering Computational Fluid Dynamics and Aerodynamics Open access
Hendrik Ranocha, Andrew Ross Winters, Hugo G. Castro, Lisandro Dalcín, Michael Schlottke‐Lakemper, Gregor J. Gassner, +1 more
14citations -
Finite element and isogeometric stabilized methods for the advection-diffusion-reaction equation2023 Computer Methods in Applied Mechanics and Engineering article Engineering Advanced Numerical Methods in Computational Mathematics Open access
Konstantin Key, Michael Abdelmalik, Stefanie Elgeti, Thomas J.R. Hughes, Frimpong A. Baidoo
3citations -
New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties2024 Communications on Applied Mathematics and Computation article Engineering Computational Fluid Dynamics and Aerodynamics Open access
Alina E. Chertock, Michaël Herty, Arsen S. Iskhakov, Safa Janajra, Alexander Kurganov, Mária Lukáčová-Medviďová
2citations -
On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws2024 Journal of Computational Physics article Engineering Computational Fluid Dynamics and Aerodynamics Open access
Hendrik Ranocha, Andrew Ross Winters, Michael Schlottke‐Lakemper, Philipp Öffner, Jan Glaubitz, Gregor J. Gassner
9citations -
Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations2022 SIAM Journal on Scientific Computing article Engineering Advanced Numerical Methods in Computational Mathematics Open access
Thomas Jankuhn, Simon Praetorius, Arnold Reusken, Axel Voigt
36citations