Edit Profile (opens in new tab) Maier, Matthias Sebastian Co-Author Distance Author ID: maier.matthias-sebastian Published as: Maier, Matthias; Maier, Matthias Sebastian Homepage: http://math.umn.edu/~msmaier/ Documents Indexed: 30 Publications since 2015, including 1 Book and 6 Additional arXiv Preprints Co-Authors: 52 Co-Authors with 29 Joint Publications 917 Co-Co-Authors all top 5 Co-Authors 1 single-authored 12 Kronbichler, Martin 10 Heltai, Luca 9 Bangerth, Wolfgang 9 Heister, Timo 9 Turcksin, Bruno 8 Arndt, Daniel 8 Pelteret, Jean-Paul 6 Luskin, Mitchell 6 Tomas, Ignacio 5 Davydov, Denis 5 Fehling, Marc 5 Margetis, Dionisios 4 Guermond, Jean-Luc 4 Munch, Peter 4 Popov, Boyan 3 Gassmöller, Rene 2 Blais, Bruno 2 Clevenger, Thomas C. 2 Feder, Marco 2 Rannacher, Rolf 2 Song, Jung Heon 1 Alzetta, Giovanni 1 Bardelloni, Mauro 1 Bergbauer, Maximilian 1 Bezbaruah, Manaswinee 1 Boddu, Vishal 1 Brands, Benjamin 1 Clayton, Bennett 1 Garcia-Sanchez, Daniel 1 Grayver, Alexander V. 1 Harper, Graham 1 Heinz, Johannes 1 Kanschat, Guido 1 Köcher, Uwe 1 Kormann, Katharina 1 Kynch, Ross Maguire 1 Li, Wei 1 Licht, Martin Werner 1 Lipton, Robert P. 1 Low, Tony 1 Mellet, Antoine 1 Rastak, Reza 1 Saavedra, Laura 1 Shadid, John N. 1 Simon, Konrad 1 Stauber, Tobias 1 Sticko, Simon 1 Tovar, Eric J. 1 Wang, Zhuoran 1 Wollner, Winnifried 1 Zampini, Stefano 1 Zhang, Jiaqi all top 5 Serials 9 Journal of Numerical Mathematics 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Computational Physics 2 Computers & Mathematics with Applications 1 Journal of Computational and Applied Mathematics 1 Studies in Applied Mathematics 1 Multiscale Modeling & Simulation 1 Communications in Mathematical Sciences 1 Journal of Physics A: Mathematical and Theoretical 1 Communications in Computational Physics all top 5 Fields 24 Numerical analysis (65-XX) 10 Partial differential equations (35-XX) 7 Optics, electromagnetic theory (78-XX) 3 Fluid mechanics (76-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 448 times in 352 Documents Cited by ▼ Year ▼ The deal.II library, version 8.4. Zbl 1348.65187 Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kanschat, Guido; Kronbichler, Martin; Maier, Matthias; Turcksin, Bruno; Wells, David 100 2016 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 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 Second-order invariant domain preserving approximation of the compressible Navier-Stokes equations. Zbl 1506.76076 Guermond, Jean-Luc; Maier, Matthias; Popov, Bojan; Tomas, Ignacio 18 2021 LinearOperator – a generic, high-level expression syntax for linear algebra. Zbl 1443.65003 Maier, Matthias; Bardelloni, Mauro; Heltai, Luca 11 2016 Dipole excitation of surface plasmon on a conducting sheet: finite element approximation and validation. Zbl 1375.78037 Maier, Matthias; Margetis, Dionisios; Luskin, Mitchell 9 2017 Adaptive finite element simulations of waveguide configurations involving parallel 2D material sheets. Zbl 1441.78018 Song, Jung Heon; Maier, Matthias; Luskin, Mitchell 5 2019 Duality-based adaptivity of model and discretization in multiscale finite-element methods. Zbl 1318.65073 Maier, Matthias Sebastian 3 2015 Duality-based adaptivity in finite element discretization of heterogeneous multiscale problems. Zbl 1351.65090 Maier, Matthias; Rannacher, Rolf 3 2016 On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations. Zbl 1507.76105 Guermond, Jean-Luc; Kronbichler, Martin; Maier, Matthias; Popov, Bojan; Tomas, Ignacio 3 2022 On the Wiener-Hopf method for surface plasmons: diffraction from semiinfinite metamaterial sheet. Zbl 1386.78009 Margetis, Dionisios; Maier, Matthias; Luskin, Mitchell 2 2017 A duality-based optimization approach for model adaptivity in heterogeneous multiscale problems. Zbl 1445.35136 Maier, Matthias; Rannacher, Rolf 2 2018 Generation of surface plasmon-polaritons by edge effects. Zbl 1383.78042 Maier, Matthias; Margetis, Dionisios; Luskin, Mitchell 1 2018 Homogenization of time-harmonic Maxwell’s equations in nonhomogeneous plasmonic structures. Zbl 1437.35048 Maier, Matthias; Margetis, Dionisios; Mellet, Antoine 1 2020 Nonlinear eigenvalue problems for coupled Helmholtz equations modeling gradient-index graphene waveguides. Zbl 07508434 Song, Jung Heon; Maier, Matthias; Luskin, Mitchell 1 2020 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 On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations. Zbl 1507.76105 Guermond, Jean-Luc; Kronbichler, Martin; Maier, Matthias; Popov, Bojan; Tomas, Ignacio 3 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 Second-order invariant domain preserving approximation of the compressible Navier-Stokes equations. Zbl 1506.76076 Guermond, Jean-Luc; Maier, Matthias; Popov, Bojan; Tomas, Ignacio 18 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 Homogenization of time-harmonic Maxwell’s equations in nonhomogeneous plasmonic structures. Zbl 1437.35048 Maier, Matthias; Margetis, Dionisios; Mellet, Antoine 1 2020 Nonlinear eigenvalue problems for coupled Helmholtz equations modeling gradient-index graphene waveguides. Zbl 07508434 Song, Jung Heon; Maier, Matthias; Luskin, Mitchell 1 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 Adaptive finite element simulations of waveguide configurations involving parallel 2D material sheets. Zbl 1441.78018 Song, Jung Heon; Maier, Matthias; Luskin, Mitchell 5 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 A duality-based optimization approach for model adaptivity in heterogeneous multiscale problems. Zbl 1445.35136 Maier, Matthias; Rannacher, Rolf 2 2018 Generation of surface plasmon-polaritons by edge effects. Zbl 1383.78042 Maier, Matthias; Margetis, Dionisios; Luskin, Mitchell 1 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 Dipole excitation of surface plasmon on a conducting sheet: finite element approximation and validation. Zbl 1375.78037 Maier, Matthias; Margetis, Dionisios; Luskin, Mitchell 9 2017 On the Wiener-Hopf method for surface plasmons: diffraction from semiinfinite metamaterial sheet. Zbl 1386.78009 Margetis, Dionisios; Maier, Matthias; Luskin, Mitchell 2 2017 The deal.II library, version 8.4. Zbl 1348.65187 Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kanschat, Guido; Kronbichler, Martin; Maier, Matthias; Turcksin, Bruno; Wells, David 100 2016 LinearOperator – a generic, high-level expression syntax for linear algebra. Zbl 1443.65003 Maier, Matthias; Bardelloni, Mauro; Heltai, Luca 11 2016 Duality-based adaptivity in finite element discretization of heterogeneous multiscale problems. Zbl 1351.65090 Maier, Matthias; Rannacher, Rolf 3 2016 Duality-based adaptivity of model and discretization in multiscale finite-element methods. Zbl 1318.65073 Maier, Matthias Sebastian 3 2015 all cited Publications top 5 cited Publications all top 5 Cited by 673 Authors 32 Wick, Thomas 22 Kronbichler, Martin 21 Heltai, Luca 18 Maier, Matthias Sebastian 13 Lee, Sanghyun 13 Steinmann, Paul 12 Bangerth, Wolfgang 11 Dede’, Luca 11 Heister, Timo 11 Wall, Wolfgang A. 11 Wollner, Winnifried 10 Pelteret, Jean-Paul 10 Turcksin, Bruno 10 Wheeler, Mary Fanett 9 Arndt, Daniel 9 Quarteroni, Alfio M. 8 Choo, Jinhyun 8 Davydov, Denis 7 Endtmayer, Bernhard 7 Fehn, Niklas 7 Kanschat, Guido 7 Mergheim, Julia 7 Munch, Peter 6 Africa, Pasquale Claudio 6 Aggul, Mustafa 6 Bause, Markus 6 Guermond, Jean-Luc 6 Langer, Ulrich 5 Arbogast, Todd 5 Bucelli, Michele 5 Fedele, Marco 5 Fehling, Marc 5 Khattatov, Eldar 5 Köcher, Uwe 5 Lei, Wenyu 5 Luskin, Mitchell 5 Mang, Katrin 5 Margetis, Dionisios 5 Mikelić, Andro 5 Radu, Florin Adrian 5 Regazzoni, Francesco 5 Sticko, Simon 5 Tomas, Ignacio 5 Vergara, Christian 5 Yotov, Ivan 4 Basak, Anup 4 Blais, Bruno 4 Bonito, Andrea 4 Carraro, Thomas 4 Leibold, Jan 4 Levitas, Valery I. 4 Li, Jichun 4 Manzoni, Andrea 4 McBride, Andrew T. 4 Neitzel, Ira 4 Popov, Boyan 4 Salvador, Matteo 4 Sun, WaiChing 4 Walloth, Mirjam 4 Yue, Pengtao 4 Zhang, Jiaqi 3 Ambartsumyan, Ilona 3 Corno, Antonio F. 3 Feder, Marco 3 Fries, Thomas-Peter 3 Gassmöller, Rene 3 Harper, Graham 3 Heinz, Johannes 3 Kormann, Katharina 3 Labovsky, Alexander E. 3 Le Borne, Sabine 3 Mallikarjunaiah, S. M. 3 Nochetto, Ricardo Horacio 3 Norato, Julian A. 3 Nordbotten, Jan Martin 3 Olshanskii, Maxim A. 3 Pacheco, Douglas R. Q. 3 Piersanti, Roberto 3 Rebholz, Leo G. 3 Schoeder, Svenja 3 Schussnig, Richard 3 Shadid, John N. 3 Yoon, Hyun Chul 3 Zingaro, Alberto 2 Anselmann, Mathias 2 Araújo C., Juan C. 2 Badia, Santiago 2 Basava, Seshadri R. 2 Bastian, Peter 2 Beuchler, Sven 2 Blank, Laura 2 Bonaventura, Luca 2 Bordas, Stéphane Pierre Alain 2 Bruchhäuser, Marius Paul 2 Caiazzo, Alfonso 2 Chan, Jesse 2 Charnyi, Sergey 2 Cicci, Ludovica 2 Clevenger, Thomas C. 2 Comellas, Ester ...and 573 more Authors all top 5 Cited in 72 Serials 67 Computer Methods in Applied Mechanics and Engineering 51 Journal of Computational Physics 25 Computers & Mathematics with Applications 16 SIAM Journal on Scientific Computing 15 Journal of Scientific Computing 12 Journal of Numerical Mathematics 9 Computational Methods in Applied Mathematics 8 Journal of Computational and Applied Mathematics 7 SIAM Journal on Numerical Analysis 7 Computational Mechanics 6 International Journal for Numerical Methods in Engineering 6 Numerische Mathematik 6 Computational Geosciences 5 Computer Physics Communications 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 ACM Transactions on Mathematical Software 4 Applied Numerical Mathematics 3 Computers and Fluids 3 Journal of Fluid Mechanics 3 Journal of the Mechanics and Physics of Solids 3 Applied Mathematics and Computation 3 Advances in Computational Mathematics 3 Mathematics and Mechanics of Solids 3 GAMM-Mitteilungen 2 International Journal of Engineering Science 2 SIAM Journal on Control and Optimization 2 Numerical Methods for Partial Differential Equations 2 Numerical Algorithms 2 Applied Mathematical Modelling 2 SIAM Review 2 Continuum Mechanics and Thermodynamics 2 European Journal of Mechanics. A. Solids 2 Communications in Nonlinear Science and Numerical Simulation 2 Multiscale Modeling & Simulation 2 Communications in Computational Physics 2 Water Waves 1 Acta Mechanica 1 Applicable Analysis 1 Classical and Quantum Gravity 1 Inverse Problems 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Theoretical and Mathematical Physics 1 Mathematics of Computation 1 BIT 1 Mathematics and Computers in Simulation 1 Meccanica 1 Applications of Mathematics 1 Journal of Elasticity 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Convex Analysis 1 Computing and Visualization in Science 1 International Journal of Computational Fluid Dynamics 1 Vietnam Journal of Mathematics 1 Combustion Theory and Modelling 1 Optimization and Engineering 1 Archives of Computational Methods in Engineering 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Numerica 1 Oberwolfach Reports 1 Mathematics in Computer Science 1 Journal of Physics A: Mathematical and Theoretical 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Biomathematics 1 GEM - International Journal on Geomathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Mathematics in Engineering 1 SMAI Journal of Computational Mathematics 1 Results in Applied Mathematics 1 Mathematics in Applied Sciences and Engineering all top 5 Cited in 27 Fields 260 Numerical analysis (65-XX) 135 Fluid mechanics (76-XX) 125 Mechanics of deformable solids (74-XX) 101 Partial differential equations (35-XX) 22 Biology and other natural sciences (92-XX) 19 Optics, electromagnetic theory (78-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 14 Geophysics (86-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Computer science (68-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Operations research, mathematical programming (90-XX) 4 Statistics (62-XX) 3 General and overarching topics; collections (00-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mathematics education (97-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-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