Roland Becker

According to our database, Roland Becker authored at least 31 papers between 1995 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of five.

2024

Mapped coercivity for the stationary Navier-Stokes equations and their finite element approximations.

Roland Becker, Malte Braack

CoRR, 2024

A short perspective on a posteriori error control and adaptive discretizations.

Roland Becker, Stéphane P. A. Bordas, Franz Chouly, Pascal Omnes

CoRR, 2024

2023

The Patellostabilometer: A New Device for Quantification of Mediolateral Patella Displacement.

Krzysztof Lachowski, Florian Hammermeister, Bastian Halenz, Florian Lieckefett, Thomas Götze, Robert Prill, Roland Becker

Sensors, February, 2023

Goal-oriented adaptive finite element methods with optimal computational complexity.

Roland Becker, Gregor Gantner, Michael Innerberger, Dirk Praetorius

Numerische Mathematik, 2023

2022

Adaptive FEM for Parameter-Errors in Elliptic Linear-Quadratic Parameter Estimation Problems.

Roland Becker, Michael Innerberger, Dirk Praetorius

SIAM J. Numer. Anal., 2022

Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs.

Roland Becker, Maximilian Brunner, Michael Innerberger, Jens Markus Melenk, Dirk Praetorius

CoRR, 2022

Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs.

Roland Becker, Maximilian Brunner, Michael Innerberger, Jens Markus Melenk, Dirk Praetorius

Comput. Math. Appl., 2022

2021

A Systematic Review of Diagnostic Accuracy and Clinical Applications of Wearable Movement Sensors for Knee Joint Rehabilitation.

Robert Prill, Marina Walter, Aleksandra Królikowska, Roland Becker

Sensors, 2021

Goal-oriented adaptive finite element method for semilinear elliptic PDEs.

Roland Becker, Maximilian Brunner, Michael Innerberger, Jens Markus Melenk, Dirk Praetorius

CoRR, 2021

Performance of DG methods based on different variables for low Mach number flows.

Nicolas Chauchat, Roland Becker, Eric Schall

Commun. Nonlinear Sci. Numer. Simul., 2021

Optimal Convergence Rates for Goal-Oriented FEM with Quadratic Goal Functional.

Roland Becker, Michael Innerberger, Dirk Praetorius

Comput. Methods Appl. Math., 2021

2019

Validation of a Novel Device for the Knee Monitoring of Orthopaedic Patients.

Mahmut Enes Kayaalp, Alison N. Agres, Jan Reichmann, Maxim Bashkuev, Georg N. Duda, Roland Becker

Sensors, 2019

2016

Local Flux Reconstructions for Standard Finite Element Methods on Triangular Meshes.

Roland Becker, Daniela Capatina, Robert Luce

SIAM J. Numer. Anal., 2016

2015

Stabilized Finite Element Formulation with Domain Decomposition for Incompressible Flows.

Roland Becker, Daniela Capatina, Robert Luce, David Trujillo

SIAM J. Sci. Comput., 2015

Analysis of a Combined CG1-DG2 Method for the Transport Equation.

Roland Becker, Melanie Bittl, Dmitri Kuzmin

SIAM J. Numer. Anal., 2015

2014

The CG1-DG2 method for convection-diffusion equations in 2D.

Melanie Bittl, Dmitri Kuzmin, Roland Becker

J. Comput. Appl. Math., 2014

2013

Stopping Criteria Based on Locally Reconstructed Fluxes.

Roland Becker, Daniela Capatina, Robert Luce

Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013

Robust Local Flux Reconstruction for Various Finite Element Methods.

Roland Becker, Daniela Capatina, Robert Luce

Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013

2011

Quasi-Optimality of Adaptive Nonconforming Finite Element Methods for the Stokes Equations.

Roland Becker, Shipeng Mao

SIAM J. Numer. Anal., 2011

Weighted Marking for Goal-oriented Adaptive Finite Element Methods.

Roland Becker, Elodie Estecahandy, David Trujillo

SIAM J. Numer. Anal., 2011

Quasi-optimality of an Adaptive Finite Element Method for an Optimal Control Problem.

Roland Becker, Shipeng Mao

Comput. Methods Appl. Math., 2011

2010

A Convergent Nonconforming Adaptive Finite Element Method with Quasi-Optimal Complexity.

Roland Becker, Shipeng Mao, Zhongci Shi

SIAM J. Numer. Anal., 2010

2008

Finite Element Approximations of the Ericksen-Leslie Model for Nematic Liquid Crystal Flow.

Roland Becker, Xiaobing Feng, Andreas Prohl

SIAM J. Numer. Anal., 2008

An optimally convergent adaptive mixed finite element method.

Roland Becker, Shipeng Mao

Numerische Mathematik, 2008

2007

Efficient numerical solution of parabolic optimization problems by finite element methods.

Roland Becker, Dominik Meidner, Boris Vexler

Optim. Methods Softw., 2007

Optimal control of the convection-diffusion equation using stabilized finite element methods.

Roland Becker, Boris Vexler

Numerische Mathematik, 2007

2006

Estimating the control error in discretized PDE-constrained optimization.

Roland Becker

J. Num. Math., 2006

2004

A posteriori error estimation for finite element discretization of parameter identification problems.

Roland Becker, Boris Vexler

Numerische Mathematik, 2004

2000

Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept.

Roland Becker, Hartmut Kapp, Rolf Rannacher

SIAM J. Control. Optim., 2000

Multigrid techniques for finite elements on locally refined meshes.

Roland Becker, Malte Braack

Numer. Linear Algebra Appl., 2000

1995

Adaptive Error Control for Multigrid Finite Element Methods.

Roland Becker, Claes Johnson, Rolf Rannacher

Computing, 1995