Moment Closure Approximations of the Boltzmann Equation Based on -Divergences MRA Abdelmalik, EH Van Brummelen Journal of Statistical Physics 164 (1), 77-104, 2016 | 46 | 2016 |
Variationally mimetic operator networks D Patel, D Ray, MRA Abdelmalik, TJR Hughes, AA Oberai Computer Methods in Applied Mechanics and Engineering 419, 116536, 2024 | 27 | 2024 |
An entropy stable discontinuous Galerkin finite-element moment method for the Boltzmann equation MRA Abdelmalik, EH van Brummelen Computers & Mathematics with Applications 72 (8), 1988-1999, 2016 | 20 | 2016 |
Error estimation and adaptive moment hierarchies for goal-oriented approximations of the Boltzmann equation MRA Abdelmalik, EH van Brummelen Computer Methods in Applied Mechanics and Engineering 325, 219-239, 2017 | 15 | 2017 |
Patient specific, imaging-informed modeling of rhenium-186 nanoliposome delivery via convection-enhanced delivery in glioblastoma multiforme RT Woodall, DA Hormuth II, C Wu, MRA Abdelmalik, WT Phillips, A Bao, ... Biomedical physics & engineering express 7 (4), 045012, 2021 | 14 | 2021 |
Goal-oriented adaptive THB-spline schemes for PDE-based planar parameterization J Hinz, M Abdelmalik, M Möller arXiv preprint arXiv:2001.08874, 2020 | 7 | 2020 |
Adaptive algorithms for optimal multiscale model hierarchies of the Boltzmann Equation: Galerkin methods for kinetic theory M Abdelmalik Ph. D. thesis, TU Eindhoven, 2017 | 7 | 2017 |
Moment methods for the radiative transfer equation based on φ-divergences MRA Abdelmalik, Z Cai, T Pichard Computer Methods in Applied Mechanics and Engineering 417, 116454, 2023 | 3* | 2023 |
Integrating quantitative imaging and computational modeling to predict the spatiotemporal distribution of 186Re nanoliposomes for recurrent glioblastoma treatment RT Woodall, DA Hormuth II, MRA Abdelmalik, C Wu, X Feng, WT Phillips, ... Medical Imaging 2019: Physics of Medical Imaging 10948, 890-902, 2019 | 2 | 2019 |
Adaptive algorithms for optimal multiscale model hierarchies of the Boltzmann Equation: Galerkin methods for kinetic theory MRAA Malik | 2 | 2017 |
Numerical approximation of the boltzmann equation: Moment closure MRAA Malik, EH van Brummelen Technische Universiteit Eindhoven, 2012 | 2 | 2012 |
Finite element and isogeometric stabilized methods for the advection-diffusion-reaction equation K Key, MRA Abdelmalik, S Elgeti, TJR Hughes, FA Baidoo Computer Methods in Applied Mechanics and Engineering 417, 116354, 2023 | 1 | 2023 |
On the Renormalization Maps for the φ-Divergence Moment Closures Applied in Radiative Transfer MRA Abdelmalik, Z Cai, T Pichard Journal of Computational and Theoretical Transport 52 (6), 399-428, 2023 | 1 | 2023 |
A conservative Galerkin solver for the quasilinear diffusion model in magnetized plasmas K Huang, M Abdelmalik, B Breizman, IM Gamba Journal of Computational Physics 488, 112220, 2023 | 1 | 2023 |
Entropy bounds for the space–time discontinuous Galerkin finite element moment method applied to the BGK–Boltzmann equation MRA Abdelmalik, DAM van der Woude, EH van Brummelen Computer Methods in Applied Mechanics and Engineering 398, 115162, 2022 | 1 | 2022 |
RADT-14. Towards image-guided modeling of patient-specific Rhenium-186 nanoliposome distribution via convection-enhanced delivery for glioblastoma multiforme C Wu, D Hormuth, C Christenson, M Abdelmalik, W Phillips, T Hughes, ... Neuro-Oncology 23 (Suppl 6), vi44, 2021 | 1 | 2021 |
Entropy stable discontinuous Galerkin finite element moment methods for compressible fluid dynamics MRA Abdelmalik, H van Brummelen Numerical Methods for Flows: FEF 2017 Selected Contributions, 75-95, 2020 | 1 | 2020 |
Image-guided patient-specific optimization of catheter placement for convection-enhanced nanoparticle delivery in recurrent glioblastoma C Wu, DA Hormuth II, CD Christenson, RT Woodall, MRA Abdelmalik, ... Computers in Biology and Medicine 179, 108889, 2024 | | 2024 |
Extensions to the Navier-Stokes-Fourier Equations for Rarefied Transport: Variational Multiscale Moment Methods for the Boltzmann Equation FA Baidoo, IM Gamba, TJR Hughes, MRA Abdelmalik arXiv preprint arXiv:2407.17334, 2024 | | 2024 |
Neural Green's Operators for Parametric Partial Differential Equations H Melchers, J Prins, M Abdelmalik arXiv preprint arXiv:2406.01857, 2024 | | 2024 |