Roland Becker

Publication Activity (10 Years)

Years Active: 1995-2024
Publications (10 Years): 17

Top Topics

Estimation Problems

Finite Element Methods

Gaussian Kernels

Top Venues

SIAM J. Numer. Anal.

J. Comput. Appl. Math.

Publications

Roland Becker, Stéphane P. A. Bordas, Franz Chouly, Pascal Omnes
A short perspective on a posteriori error control and adaptive discretizations. CoRR (2024)
Roland Becker, Gregor Gantner, Michael Innerberger, Dirk Praetorius
Goal-oriented adaptive finite element methods with optimal computational complexity. Numerische Mathematik 153 (1) (2023)
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) (2023)
Roland Becker, Michael Innerberger, Dirk Praetorius
Adaptive FEM for Parameter-Errors in Elliptic Linear-Quadratic Parameter Estimation Problems. SIAM J. Numer. Anal. 60 (3) (2022)
Roland Becker, Maximilian Brunner, Michael Innerberger, Jens Markus Melenk, Dirk Praetorius
Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs. CoRR (2022)
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 (2022)
Roland Becker, Michael Innerberger, Dirk Praetorius
Adaptive FEM for parameter-errors in elliptic linear-quadratic parameter estimation problems. CoRR (2021)
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) (2021)
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 (2021)
Roland Becker, Maximilian Brunner, Michael Innerberger, Jens Markus Melenk, Dirk Praetorius
Goal-oriented adaptive finite element method for semilinear elliptic PDEs. CoRR (2021)
Roland Becker, Michael Innerberger, Dirk Praetorius
Optimal Convergence Rates for Goal-Oriented FEM with Quadratic Goal Functional. Comput. Methods Appl. Math. 21 (2) (2021)
Roland Becker, Gregor Gantner, Michael Innerberger, Dirk Praetorius
Goal-oriented adaptive finite element methods with optimal computational complexity. CoRR (2021)
Roland Becker, Michael Innerberger, Dirk Praetorius
Optimal convergence rates for goal-oriented FEM with quadratic goal functional. CoRR (2020)
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) (2019)
Roland Becker, Daniela Capatina, Robert Luce
Local Flux Reconstructions for Standard Finite Element Methods on Triangular Meshes. SIAM J. Numer. Anal. 54 (4) (2016)
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)
Roland Becker, Melanie Bittl, Dmitri Kuzmin
Analysis of a Combined CG1-DG2 Method for the Transport Equation. SIAM J. Numer. Anal. 53 (1) (2015)
Melanie Bittl, Dmitri Kuzmin, Roland Becker
The CG1-DG2 method for convection-diffusion equations in 2D. J. Comput. Appl. Math. 270 (2014)
Roland Becker, Daniela Capatina, Robert Luce
Stopping Criteria Based on Locally Reconstructed Fluxes. ENUMATH (2013)
Roland Becker, Daniela Capatina, Robert Luce
Robust Local Flux Reconstruction for Various Finite Element Methods. ENUMATH (2013)
Roland Becker, Shipeng Mao
Quasi-optimality of an Adaptive Finite Element Method for an Optimal Control Problem. Comput. Methods Appl. Math. 11 (2) (2011)
Roland Becker, Elodie Estecahandy, David Trujillo
Weighted Marking for Goal-oriented Adaptive Finite Element Methods. SIAM J. Numer. Anal. 49 (6) (2011)
Roland Becker, Shipeng Mao
Quasi-Optimality of Adaptive Nonconforming Finite Element Methods for the Stokes Equations. SIAM J. Numer. Anal. 49 (3) (2011)
Roland Becker, Shipeng Mao, Zhongci Shi
A Convergent Nonconforming Adaptive Finite Element Method with Quasi-Optimal Complexity. SIAM J. Numer. Anal. 47 (6) (2010)
Roland Becker, Shipeng Mao
An optimally convergent adaptive mixed finite element method. Numerische Mathematik 111 (1) (2008)
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) (2008)
Roland Becker, Dominik Meidner, Boris Vexler
Efficient numerical solution of parabolic optimization problems by finite element methods. Optim. Methods Softw. 22 (5) (2007)
Roland Becker, Boris Vexler
Optimal control of the convection-diffusion equation using stabilized finite element methods. Numerische Mathematik 106 (3) (2007)
Roland Becker
Estimating the control error in discretized PDE-constrained optimization. J. Num. Math. 14 (3) (2006)
Roland Becker, Boris Vexler
A posteriori error estimation for finite element discretization of parameter identification problems. Numerische Mathematik 96 (3) (2004)
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) (2000)
Roland Becker, Malte Braack
Multigrid techniques for finite elements on locally refined meshes. Numer. Linear Algebra Appl. 7 (6) (2000)
Roland Becker, Claes Johnson, Rolf Rannacher
Adaptive Error Control for Multigrid Finite Element Methods. Computing 55 (4) (1995)