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 2 Additional arXiv Preprints Reviewing Activity: 5 Reviews Co-Authors: 37 Co-Authors with 16 Joint Publications 646 Co-Co-Authors all top 5 Co-Authors 1 single-authored 9 Pelteret, Jean-Paul 8 Bangerth, Wolfgang 8 Heister, Timo 8 Heltai, Luca 8 Kronbichler, Martin 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 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing Fields 18 Numerical analysis (65-XX) 7 Fluid mechanics (76-XX) 2 Partial differential equations (35-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 14 Publications have been cited 374 times in 306 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 59 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 52 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 48 2019 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 43 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 34 2020 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 33 2021 Local projection FEM stabilization for the time-dependent incompressible Navier-Stokes problem. Zbl 1446.76126 Arndt, Daniel; Dallmann, Helene; Lube, Gert 31 2015 Local projection stabilization for the Oseen problem. Zbl 1433.76079 Dallmann, Helene; Arndt, Daniel; Lube, Gert 21 2016 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 20 2022 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 10 2016 Finite elements for the Navier-Stokes problem with outflow condition. Zbl 1387.76047 Arndt, Daniel; Braack, Malte; Lube, Gert 5 2016 Fast tensor product Schwarz smoothers for high-order discontinuous Galerkin methods. Zbl 1473.65344 Witte, Julius; Arndt, Daniel; Kanschat, Guido 4 2021 Understanding the limits of inf-sup stable Galerkin-FEM for incompressible flows. Zbl 1427.76136 Lube, Gert; Arndt, Daniel; Dallmann, Helene 3 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 20 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 43 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 33 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 34 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 48 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 59 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 52 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 10 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 31 2015 Understanding the limits of inf-sup stable Galerkin-FEM for incompressible flows. Zbl 1427.76136 Lube, Gert; Arndt, Daniel; Dallmann, Helene 3 2015 all cited Publications top 5 cited Publications all top 5 Cited by 614 Authors 25 Wick, Thomas 19 Heltai, Luca 17 Kronbichler, Martin 11 Arndt, Daniel 11 Dede’, Luca 11 Maier, Matthias Sebastian 10 Bangerth, Wolfgang 10 Steinmann, Paul 9 Novo, Julia 9 Pelteret, Jean-Paul 9 Quarteroni, Alfio M. 9 Wollner, Winnifried 8 Choo, Jinhyun 8 Heister, Timo 8 Turcksin, Bruno 8 Wall, Wolfgang A. 7 John, Volker 7 Lube, Gert 7 Mergheim, Julia 7 Munch, Peter 6 Africa, Pasquale Claudio 6 Fehn, Niklas 6 García-Archilla, Bosco 5 Bause, Markus 5 Bucelli, Michele 5 Davydov, Denis 5 Endtmayer, Bernhard 5 Fedele, Marco 5 Fehling, Marc 5 Khattatov, Eldar 5 Langer, Ulrich 5 Lee, Sanghyun 5 Lei, Wenyu 5 Mang, Katrin 5 Regazzoni, Francesco 5 Schroeder, Philipp W. 5 Sticko, Simon 5 Vergara, Christian 5 Yotov, Ivan 4 Blais, Bruno 4 Bonito, Andrea 4 de Frutos, Javier 4 Huang, Pengzhan 4 Köcher, Uwe 4 Leibold, Jan 4 Linke, Alexander 4 Manzoni, Andrea 4 McBride, Andrew T. 4 Oyarzúa, Ricardo 4 Salvador, Matteo 4 Tomas, Ignacio 4 Walloth, Mirjam 4 Wheeler, Mary Fanett 3 Ahmed, Naveed 3 Ambartsumyan, Ilona 3 Corno, Antonio F. 3 Feder, Marco 3 Feng, Minfu 3 Fries, Thomas-Peter 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 Liu, Shuaijun 3 Luskin, Mitchell 3 Mallikarjunaiah, S. M. 3 Mikelić, Andro 3 Nochetto, Ricardo Horacio 3 Pacheco, Douglas R. Q. 3 Piersanti, Roberto 3 Popov, Boyan 3 Rebholz, Leo G. 3 Schussnig, Richard 3 Shadid, John N. 3 Sun, WaiChing 3 Yoon, Hyun Chul 3 Yue, Pengtao 3 Zhang, Jiaqi 3 Zingaro, Alberto 2 Aggul, Mustafa 2 Almonacid, Javier A. 2 Anselmann, Mathias 2 Araújo C., Juan C. 2 Bai, Yanhong 2 Basava, Seshadri R. 2 Beuchler, Sven 2 Bonaventura, Luca 2 Bordas, Stéphane Pierre Alain 2 Bruchhäuser, Marius Paul 2 Carraro, Thomas 2 Chacón Rebollo, Tomás 2 Chen, Xi 2 Cicci, Ludovica 2 Clevenger, Thomas C. ...and 514 more Authors all top 5 Cited in 74 Serials 66 Computer Methods in Applied Mechanics and Engineering 30 Journal of Computational Physics 24 Computers & Mathematics with Applications 17 Journal of Scientific Computing 10 SIAM Journal on Scientific Computing 9 Journal of Computational and Applied Mathematics 9 Journal of Numerical Mathematics 8 Computational Methods in Applied Mathematics 7 Advances in Computational Mathematics 5 Computer Physics Communications 5 Applied Mathematics and Computation 5 Computational Mechanics 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 International Journal for Numerical Methods in Engineering 3 Computers and Fluids 3 Journal of Fluid Mechanics 3 ACM Transactions on Mathematical Software 3 Calcolo 3 Numerische Mathematik 3 Computational Geosciences 3 GAMM-Mitteilungen 2 International Journal of Engineering Science 2 Mathematical Methods in the Applied Sciences 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Numerical Analysis 2 Applied Numerical Mathematics 2 Applied Mathematical Modelling 2 SIAM Review 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 Mathematical Analysis and Applications 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 Numerical Algorithms 1 Journal of Elasticity 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 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 Water Waves 1 Mathematics in Applied Sciences and Engineering all top 5 Cited in 22 Fields 228 Numerical analysis (65-XX) 148 Fluid mechanics (76-XX) 98 Mechanics of deformable solids (74-XX) 91 Partial differential equations (35-XX) 21 Biology and other natural sciences (92-XX) 14 Classical thermodynamics, heat transfer (80-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Computer science (68-XX) 9 Optics, electromagnetic theory (78-XX) 7 Geophysics (86-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 2 Mathematics education (97-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year