Edit Profile (opens in new tab) Arndt, Daniel Co-Author Distance Author ID: arndt.daniel Published as: Arndt, Daniel Homepage: https://www.ornl.gov/staff-profile/daniel-arndt External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 19 Publications since 2015, including 1 Book and 1 Additional arXiv Preprint Reviewing Activity: 5 Reviews Co-Authors: 37 Co-Authors with 16 Joint Publications 650 Co-Co-Authors all top 5 Co-Authors 1 single-authored 9 Kronbichler, Martin 9 Pelteret, Jean-Paul 8 Bangerth, Wolfgang 8 Heister, Timo 8 Heltai, Luca 8 Maier, Matthias Sebastian 8 Turcksin, Bruno 6 Lube, Gert 5 Dallmann, Helene 5 Davydov, Denis 5 Fehling, Marc 4 Munch, Peter 3 Gassmöller, Rene 2 Blais, Bruno 2 Clevenger, Thomas C. 2 Feder, Marco 2 Kanschat, Guido 1 Alzetta, Giovanni 1 Bergbauer, Maximilian 1 Boddu, Vishal 1 Braack, Malte 1 Brands, Benjamin 1 Garcia-Sanchez, Daniel 1 Grayver, Alexander V. 1 Harper, Graham 1 Heinz, Johannes 1 Köcher, Uwe 1 Kormann, Katharina 1 Kynch, Ross Maguire 1 Rastak, Reza 1 Simon, Konrad 1 Steinmann, Paul 1 Sticko, Simon 1 Tomas, Ignacio 1 Wacker, Benjamin 1 Wang, Zhuoran 1 Witte, Julius 1 Zampini, Stefano 1 Zhang, Jiaqi all top 5 Serials 7 Journal of Numerical Mathematics 2 Computational Methods in Applied Mathematics 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical Methods in Engineering 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing Fields 19 Numerical analysis (65-XX) 7 Fluid mechanics (76-XX) 2 Partial differential equations (35-XX) 1 Mechanics of deformable solids (74-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 16 Publications have been cited 449 times in 368 Documents Cited by ▼ Year ▼ The deal.II library, version 9.0. Zbl 1410.65363 Alzetta, Giovanni; Arndt, Daniel; Bangerth, Wolfgang; Boddu, Vishal; Brands, Benjamin; Davydov, Denis; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Kormann, Katharina; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David 66 2018 The deal.II finite element library: design, features, and insights. Zbl 1524.65002 Arndt, Daniel; Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David 61 2021 The deal.II library, version 8.5. Zbl 1375.65148 Arndt, Daniel; Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David 55 2017 The deal.II library, Version 9.1. Zbl 1435.65010 Arndt, Daniel; Bangerth, Wolfgang; Clevenger, Thomas C.; Davydov, Denis; Fehling, Marc; Garcia-Sanchez, Daniel; Harper, Graham; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Kynch, Ross Maguire; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David 51 2019 The deal.II library, Version 9.3. Zbl 1478.65004 Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Fehling, Marc; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Köcher, Uwe; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Proell, Sebastian; Simon, Konrad; Turcksin, Bruno; Wells, David; Zhang, Jiaqi 44 2021 The deal.II library, version 9.2. Zbl 1452.65222 Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Clevenger, Thomas C.; Fehling, Marc; Grayver, Alexander V.; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Rastak, Reza; Tomas, Ignacio; Turcksin, Bruno; Wang, Zhuoran; Wells, David 42 2020 Local projection FEM stabilization for the time-dependent incompressible Navier-Stokes problem. Zbl 1446.76126 Arndt, Daniel; Dallmann, Helene; Lube, Gert 33 2015 The deal.II library, version 9.4. Zbl 07590497 Arndt, Daniel; Bangerth, Wolfgang; Feder, Marco; Fehling, Marc; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Sticko, Simon; Turcksin, Bruno; Wells, David 32 2022 Local projection stabilization for the Oseen problem. Zbl 1433.76079 Dallmann, Helene; Arndt, Daniel; Lube, Gert 21 2016 Stabilized finite element methods for the Oberbeck-Boussinesq model. Zbl 1457.65074 Dallmann, Helene; Arndt, Daniel 15 2016 Nodal-based finite element methods with local projection stabilization for linearized incompressible magnetohydrodynamics. Zbl 1423.76284 Wacker, Benjamin; Arndt, Daniel; Lube, Gert 14 2016 Finite elements for the Navier-Stokes problem with outflow condition. Zbl 1387.76047 Arndt, Daniel; Braack, Malte; Lube, Gert 5 2016 Understanding the limits of inf-sup stable Galerkin-FEM for incompressible flows. Zbl 1427.76136 Lube, Gert; Arndt, Daniel; Dallmann, Helene 4 2015 The deal.II library, version 9.5. Zbl 07745018 Arndt, Daniel; Bangerth, Wolfgang; Bergbauer, Maximilian; Feder, Marco; Fehling, Marc; Heinz, Johannes; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David; Zampini, Stefano 4 2023 Fast tensor product Schwarz smoothers for high-order discontinuous Galerkin methods. Zbl 1473.65344 Witte, Julius; Arndt, Daniel; Kanschat, Guido 4 2021 A matrix-free approach for finite-strain hyperelastic problems using geometric multigrid. Zbl 07841947 Davydov, Denis; Pelteret, Jean-Paul; Arndt, Daniel; Kronbichler, Martin; Steinmann, Paul 2 2020 The deal.II library, version 9.5. Zbl 07745018 Arndt, Daniel; Bangerth, Wolfgang; Bergbauer, Maximilian; Feder, Marco; Fehling, Marc; Heinz, Johannes; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David; Zampini, Stefano 4 2023 The deal.II library, version 9.4. Zbl 07590497 Arndt, Daniel; Bangerth, Wolfgang; Feder, Marco; Fehling, Marc; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Sticko, Simon; Turcksin, Bruno; Wells, David 32 2022 The deal.II finite element library: design, features, and insights. Zbl 1524.65002 Arndt, Daniel; Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David 61 2021 The deal.II library, Version 9.3. Zbl 1478.65004 Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Fehling, Marc; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Köcher, Uwe; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Proell, Sebastian; Simon, Konrad; Turcksin, Bruno; Wells, David; Zhang, Jiaqi 44 2021 Fast tensor product Schwarz smoothers for high-order discontinuous Galerkin methods. Zbl 1473.65344 Witte, Julius; Arndt, Daniel; Kanschat, Guido 4 2021 The deal.II library, version 9.2. Zbl 1452.65222 Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Clevenger, Thomas C.; Fehling, Marc; Grayver, Alexander V.; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Rastak, Reza; Tomas, Ignacio; Turcksin, Bruno; Wang, Zhuoran; Wells, David 42 2020 A matrix-free approach for finite-strain hyperelastic problems using geometric multigrid. Zbl 07841947 Davydov, Denis; Pelteret, Jean-Paul; Arndt, Daniel; Kronbichler, Martin; Steinmann, Paul 2 2020 The deal.II library, Version 9.1. Zbl 1435.65010 Arndt, Daniel; Bangerth, Wolfgang; Clevenger, Thomas C.; Davydov, Denis; Fehling, Marc; Garcia-Sanchez, Daniel; Harper, Graham; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Kynch, Ross Maguire; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David 51 2019 The deal.II library, version 9.0. Zbl 1410.65363 Alzetta, Giovanni; Arndt, Daniel; Bangerth, Wolfgang; Boddu, Vishal; Brands, Benjamin; Davydov, Denis; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Kormann, Katharina; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David 66 2018 The deal.II library, version 8.5. Zbl 1375.65148 Arndt, Daniel; Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David 55 2017 Local projection stabilization for the Oseen problem. Zbl 1433.76079 Dallmann, Helene; Arndt, Daniel; Lube, Gert 21 2016 Stabilized finite element methods for the Oberbeck-Boussinesq model. Zbl 1457.65074 Dallmann, Helene; Arndt, Daniel 15 2016 Nodal-based finite element methods with local projection stabilization for linearized incompressible magnetohydrodynamics. Zbl 1423.76284 Wacker, Benjamin; Arndt, Daniel; Lube, Gert 14 2016 Finite elements for the Navier-Stokes problem with outflow condition. Zbl 1387.76047 Arndt, Daniel; Braack, Malte; Lube, Gert 5 2016 Local projection FEM stabilization for the time-dependent incompressible Navier-Stokes problem. Zbl 1446.76126 Arndt, Daniel; Dallmann, Helene; Lube, Gert 33 2015 Understanding the limits of inf-sup stable Galerkin-FEM for incompressible flows. Zbl 1427.76136 Lube, Gert; Arndt, Daniel; Dallmann, Helene 4 2015 all cited Publications top 5 cited Publications all top 5 Cited by 721 Authors 31 Wick, Thomas 21 Heltai, Luca 21 Kronbichler, Martin 17 Quarteroni, Alfio M. 14 Dede’, Luca 14 Steinmann, Paul 12 Maier, Matthias Sebastian 11 Arndt, Daniel 11 Wollner, Winnifried 10 Bangerth, Wolfgang 10 Choo, Jinhyun 10 Heister, Timo 9 Novo, Julia 9 Pelteret, Jean-Paul 9 Wall, Wolfgang A. 8 Munch, Peter 8 Turcksin, Bruno 7 John, Volker 7 Lee, Sanghyun 7 Lube, Gert 7 Mergheim, Julia 7 Regazzoni, Francesco 6 Africa, Pasquale Claudio 6 Bause, Markus 6 Blais, Bruno 6 Bucelli, Michele 6 Fehn, Niklas 6 García-Archilla, Bosco 6 Langer, Ulrich 6 Lei, Wenyu 6 Sticko, Simon 5 Davydov, Denis 5 Endtmayer, Bernhard 5 Fedele, Marco 5 Fehling, Marc 5 Fries, Thomas-Peter 5 Huang, Pengzhan 5 Khattatov, Eldar 5 Mang, Katrin 5 Manzoni, Andrea 5 McBride, Andrew T. 5 Piersanti, Roberto 5 Salvador, Matteo 5 Schroeder, Philipp W. 5 Schussnig, Richard 5 Sun, WaiChing 5 Vergara, Christian 5 Yotov, Ivan 4 Bonito, Andrea 4 de Frutos, Javier 4 Feng, Minfu 4 Köcher, Uwe 4 Leibold, Jan 4 Linke, Alexander 4 Liu, Shuaijun 4 Oyarzúa, Ricardo 4 Pacheco, Douglas R. Q. 4 Tomas, Ignacio 4 Walloth, Mirjam 4 Wheeler, Mary Fanett 4 Zappon, Elena 4 Zingaro, Alberto 3 Ahmed, Naveed 3 Almonacid, Javier A. 3 Ambartsumyan, Ilona 3 Anselmann, Mathias 3 Bai, Yanhong 3 Clevenger, Thomas C. 3 Corno, Antonio F. 3 Feder, Marco 3 Fei, Fan 3 Gassmöller, Rene 3 Gatica, Gabriel N. 3 Guermond, Jean-Luc 3 Han, Yongbin 3 Harper, Graham 3 He, Yinnian 3 Heinz, Johannes 3 Hou, Yanren 3 Knobloch, Petr 3 Kormann, Katharina 3 Kreiss, Gunilla 3 Li, Yang 3 Liu, Chuanqi 3 Liu, Zhaowei 3 Luskin, Mitchell 3 Mallikarjunaiah, S. M. 3 Mikelić, Andro 3 Nochetto, Ricardo Horacio 3 Popov, Boyan 3 Rebholz, Leo Gregory 3 Roth, Julian 3 Saxena, Prashant 3 Shadid, John N. 3 Sheikholeslami, Mohsen 3 Thiele, Jan Philipp 3 Wacker, Benjamin 3 Yoon, Hyun Chul 3 Yue, Pengtao 3 Zhang, Jiaqi ...and 621 more Authors all top 5 Cited in 79 Serials 74 Computer Methods in Applied Mechanics and Engineering 34 Journal of Computational Physics 27 Computers & Mathematics with Applications 20 Journal of Scientific Computing 16 International Journal for Numerical Methods in Engineering 14 SIAM Journal on Scientific Computing 11 Journal of Computational and Applied Mathematics 9 Journal of Numerical Mathematics 8 Computers and Fluids 8 Computational Methods in Applied Mathematics 7 Computer Physics Communications 7 Computational Mechanics 7 Advances in Computational Mathematics 6 ACM Transactions on Mathematical Software 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Applied Mathematics and Computation 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Numerische Mathematik 4 SIAM Journal on Numerical Analysis 3 Journal of Fluid Mechanics 3 Mathematical Methods in the Applied Sciences 3 Calcolo 3 Computational Geosciences 3 GAMM-Mitteilungen 2 International Journal of Engineering Science 2 International Journal for Numerical Methods in Fluids 2 Journal of Mathematical Analysis and Applications 2 SIAM Journal on Control and Optimization 2 Applied Numerical Mathematics 2 Numerical Algorithms 2 Applied Mathematical Modelling 2 SIAM Review 2 Numerical Linear Algebra with Applications 2 European Journal of Mechanics. A. Solids 2 Communications in Computational Physics 2 Advances in Applied Mathematics and Mechanics 2 SMAI Journal of Computational Mathematics 1 Acta Mechanica 1 Applicable Analysis 1 Classical and Quantum Gravity 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Journal of the Mechanics and Physics of Solids 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 BIT 1 Mathematics and Computers in Simulation 1 Meccanica 1 Journal of Computational Mathematics 1 Numerical Methods for Partial Differential Equations 1 Applications of Mathematics 1 Journal of Elasticity 1 SIAM Journal on Applied Mathematics 1 Computational and Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Convex Analysis 1 Mathematical Problems in Engineering 1 Mathematics and Mechanics of Solids 1 Computing and Visualization in Science 1 International Journal of Computational Fluid Dynamics 1 Vietnam Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Communications in Nonlinear Science and Numerical Simulation 1 Combustion Theory and Modelling 1 Optimization and Engineering 1 Archives of Computational Methods in Engineering 1 Multiscale Modeling & Simulation 1 Oberwolfach Reports 1 Mathematics in Computer Science 1 Networks and Heterogeneous Media 1 Discrete and Continuous Dynamical Systems. Series S 1 GEM - International Journal on Geomathematics 1 S\(\vec{\text{e}}\)MA Journal 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Mathematics in Engineering 1 Results in Applied Mathematics 1 Water Waves 1 Mathematics in Applied Sciences and Engineering all top 5 Cited in 23 Fields 270 Numerical analysis (65-XX) 167 Fluid mechanics (76-XX) 121 Mechanics of deformable solids (74-XX) 107 Partial differential equations (35-XX) 25 Biology and other natural sciences (92-XX) 15 Classical thermodynamics, heat transfer (80-XX) 14 Computer science (68-XX) 13 Optics, electromagnetic theory (78-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 2 Mathematics education (97-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year