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ORCIDRoland Becker
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2020 – today
- 2024
[i6]Roland Becker, Stéphane P. A. Bordas, Franz Chouly, Pascal Omnes:
A short perspective on a posteriori error control and adaptive discretizations. CoRR abs/2407.07768 (2024)- 2023
- [j25]Roland Becker, Gregor Gantner
, Michael Innerberger, Dirk Praetorius:
Goal-oriented adaptive finite element methods with optimal computational complexity. Numerische Mathematik 153(1): 111-140 (2023) - [j24]Krzysztof Lachowski, Florian Hammermeister, Bastian Halenz, Florian Lieckefett, Thomas Götze, Robert Prill, Roland Becker:
The Patellostabilometer: A New Device for Quantification of Mediolateral Patella Displacement. Sensors 23(3): 1274 (2023) - 2022
- [j23]Roland Becker, Maximilian Brunner, Michael Innerberger, Jens Markus Melenk, Dirk Praetorius:
Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs. Comput. Math. Appl. 118: 18-35 (2022) - [j22]Roland Becker, Michael Innerberger, Dirk Praetorius:
Adaptive FEM for Parameter-Errors in Elliptic Linear-Quadratic Parameter Estimation Problems. SIAM J. Numer. Anal. 60(3): 1450-1471 (2022) - [i5]Roland Becker, Maximilian Brunner, Michael Innerberger, Jens Markus Melenk, Dirk Praetorius:
Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs. CoRR abs/2211.04123 (2022) - 2021
- [j21]Roland Becker, Michael Innerberger, Dirk Praetorius:
Optimal Convergence Rates for Goal-Oriented FEM with Quadratic Goal Functional. Comput. Methods Appl. Math. 21(2): 267-288 (2021) - [j20]Nicolas Chauchat, Roland Becker, Eric Schall:
Performance of DG methods based on different variables for low Mach number flows. Commun. Nonlinear Sci. Numer. Simul. 95: 105580 (2021) - [j19]Robert Prill, Marina Walter, Aleksandra Królikowska, Roland Becker:
A Systematic Review of Diagnostic Accuracy and Clinical Applications of Wearable Movement Sensors for Knee Joint Rehabilitation. Sensors 21(24): 8221 (2021) - [i4]Roland Becker, Gregor Gantner, Michael Innerberger, Dirk Praetorius:
Goal-oriented adaptive finite element methods with optimal computational complexity. CoRR abs/2101.11407 (2021) - [i3]Roland Becker, Michael Innerberger, Dirk Praetorius:
Adaptive FEM for parameter-errors in elliptic linear-quadratic parameter estimation problems. CoRR abs/2111.03627 (2021) - [i2]Roland Becker, Maximilian Brunner, Michael Innerberger, Jens Markus Melenk, Dirk Praetorius:
Goal-oriented adaptive finite element method for semilinear elliptic PDEs. CoRR abs/2112.06687 (2021) - 2020
- [i1]Roland Becker, Michael Innerberger, Dirk Praetorius:
Optimal convergence rates for goal-oriented FEM with quadratic goal functional. CoRR abs/2003.13270 (2020)
2010 – 2019
- 2019
- [j18]Mahmut Enes Kayaalp, Alison N. Agres, Jan Reichmann, Maxim Bashkuev, Georg N. Duda, Roland Becker:
Validation of a Novel Device for the Knee Monitoring of Orthopaedic Patients. Sensors 19(23): 5193 (2019) - 2016
- [j17]Roland Becker, Daniela Capatina, Robert Luce:
Local Flux Reconstructions for Standard Finite Element Methods on Triangular Meshes. SIAM J. Numer. Anal. 54(4): 2684-2706 (2016) - 2015
- [j16]Roland Becker, Melanie Bittl, Dmitri Kuzmin:
Analysis of a Combined CG1-DG2 Method for the Transport Equation. SIAM J. Numer. Anal. 53(1): 445-463 (2015) - [j15]Roland Becker, Daniela Capatina, Robert Luce, David Trujillo:
Stabilized Finite Element Formulation with Domain Decomposition for Incompressible Flows. SIAM J. Sci. Comput. 37(3) (2015) - 2014
- [j14]Melanie Bittl, Dmitri Kuzmin, Roland Becker:
The CG1-DG2 method for convection-diffusion equations in 2D. J. Comput. Appl. Math. 270: 21-31 (2014) - 2013
- [c2]Roland Becker, Daniela Capatina, Robert Luce:
Robust Local Flux Reconstruction for Various Finite Element Methods. ENUMATH 2013: 65-73 - [c1]Roland Becker, Daniela Capatina, Robert Luce:
Stopping Criteria Based on Locally Reconstructed Fluxes. ENUMATH 2013: 243-251 - 2011
- [j13]Roland Becker, Shipeng Mao:
Quasi-optimality of an Adaptive Finite Element Method for an Optimal Control Problem. Comput. Methods Appl. Math. 11(2): 107-128 (2011) - [j12]Roland Becker, Shipeng Mao:
Quasi-Optimality of Adaptive Nonconforming Finite Element Methods for the Stokes Equations. SIAM J. Numer. Anal. 49(3): 970-991 (2011) - [j11]Roland Becker, Elodie Estecahandy, David Trujillo:
Weighted Marking for Goal-oriented Adaptive Finite Element Methods. SIAM J. Numer. Anal. 49(6): 2451-2469 (2011) - 2010
- [j10]Roland Becker, Shipeng Mao, Zhongci Shi:
A Convergent Nonconforming Adaptive Finite Element Method with Quasi-Optimal Complexity. SIAM J. Numer. Anal. 47(6): 4639-4659 (2010)
2000 – 2009
- 2008
- [j9]Roland Becker, Shipeng Mao:
An optimally convergent adaptive mixed finite element method. Numerische Mathematik 111(1): 35-54 (2008) - [j8]Roland Becker, Xiaobing Feng, Andreas Prohl:
Finite Element Approximations of the Ericksen-Leslie Model for Nematic Liquid Crystal Flow. SIAM J. Numer. Anal. 46(4): 1704-1731 (2008) - 2007
- [j7]Roland Becker, Boris Vexler:
Optimal control of the convection-diffusion equation using stabilized finite element methods. Numerische Mathematik 106(3): 349-367 (2007) - [j6]Roland Becker, Dominik Meidner, Boris Vexler:
Efficient numerical solution of parabolic optimization problems by finite element methods. Optim. Methods Softw. 22(5): 813-833 (2007) - 2006
- [j5]Roland Becker:
Estimating the control error in discretized PDE-constrained optimization. J. Num. Math. 14(3): 163-185 (2006) - 2004
- [j4]Roland Becker, Boris Vexler:
A posteriori error estimation for finite element discretization of parameter identification problems. Numerische Mathematik 96(3): 435-459 (2004) - 2000
- [j3]Roland Becker, Malte Braack:
Multigrid techniques for finite elements on locally refined meshes. Numer. Linear Algebra Appl. 7(6): 363-379 (2000) - [j2]Roland Becker, Hartmut Kapp, Rolf Rannacher:
Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept. SIAM J. Control. Optim. 39(1): 113-132 (2000)
1990 – 1999
- 1995
- [j1]Roland Becker, Claes Johnson, Rolf Rannacher:
Adaptive Error Control for Multigrid Finite Element Methods. Computing 55(4): 271-288 (1995)
Coauthor Index
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