Adaptive Error Control for Multigrid Finite Element Methods. - Roland Becker; Claes Johnson; Rolf Rannacher (Computing, 1995)

Multigrid techniques for finite elements on locally refined meshes. - Roland Becker; Malte Braack (Numer. Linear Algebra Appl., 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)

A posteriori error estimation for finite element discretization of parameter identification problems. - Roland Becker; Boris Vexler (Numerische Mathematik, 2004)

Estimating the control error in discretized PDE-constrained optimization. - Roland Becker (J. Num. Math., 2006)

Optimal control of the convection-diffusion equation using stabilized finite element methods. - Roland Becker; Boris Vexler (Numerische Mathematik, 2007)

Efficient numerical solution of parabolic optimization problems by finite element methods. - Roland Becker; Dominik Meidner; Boris Vexler (Optim. Methods Softw., 2007)

An optimally convergent adaptive mixed finite element method. - Roland Becker; Shipeng Mao (Numerische Mathematik, 2008)

Finite Element Approximations of the Ericksen-Leslie Model for Nematic Liquid Crystal Flow. - Roland Becker; Xiaobing Feng 001; Andreas Prohl (SIAM J. Numer. Anal., 2008)

A Convergent Nonconforming Adaptive Finite Element Method with Quasi-Optimal Complexity. - Roland Becker; Shipeng Mao; Zhongci Shi (SIAM J. Numer. Anal., 2010)

Quasi-optimality of an Adaptive Finite Element Method for an Optimal Control Problem. - Roland Becker; Shipeng Mao (Comput. Methods Appl. Math., 2011)

Weighted Marking for Goal-oriented Adaptive Finite Element Methods. - Roland Becker; Elodie Estecahandy; David Trujillo (SIAM J. Numer. Anal., 2011)

Quasi-Optimality of Adaptive Nonconforming Finite Element Methods for the Stokes Equations. - Roland Becker; Shipeng Mao (SIAM J. Numer. Anal., 2011)

Robust Local Flux Reconstruction for Various Finite Element Methods. - Roland Becker; Daniela Capatina; Robert Luce (ENUMATH, 2013)

Stopping Criteria Based on Locally Reconstructed Fluxes. - Roland Becker; Daniela Capatina; Robert Luce (ENUMATH, 2013)

The CG1-DG2 method for convection-diffusion equations in 2D. - Melanie Bittl; Dmitri Kuzmin; Roland Becker (J. Comput. Appl. Math., 2014)

Analysis of a Combined CG1-DG2 Method for the Transport Equation. - Roland Becker; Melanie Bittl; Dmitri Kuzmin (SIAM J. Numer. Anal., 2015)

Stabilized Finite Element Formulation with Domain Decomposition for Incompressible Flows. - Roland Becker; Daniela Capatina; Robert Luce; David Trujillo (SIAM J. Sci. Comput., 2015)

Local Flux Reconstructions for Standard Finite Element Methods on Triangular Meshes. - Roland Becker; Daniela Capatina; Robert Luce (SIAM J. Numer. Anal., 2016)

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)

Optimal Convergence Rates for Goal-Oriented FEM with Quadratic Goal Functional. - Roland Becker; Michael Innerberger; Dirk Praetorius (Comput. Methods Appl. Math., 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)

Goal-oriented adaptive finite element method for semilinear elliptic PDEs. - Roland Becker; Maximilian Brunner; Michael Innerberger; Jens Markus Melenk; Dirk Praetorius (CoRR, 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)

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)

Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs. - Roland Becker; Maximilian Brunner; Michael Innerberger; Jens Markus Melenk; Dirk Praetorius (CoRR, 2022)

Adaptive FEM for Parameter-Errors in Elliptic Linear-Quadratic Parameter Estimation Problems. - Roland Becker; Michael Innerberger; Dirk Praetorius (SIAM J. Numer. Anal., 2022)

Goal-oriented adaptive finite element methods with optimal computational complexity. - Roland Becker; Gregor Gantner; Michael Innerberger; Dirk Praetorius (Numerische Mathematik, 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, 2023)

A short perspective on a posteriori error control and adaptive discretizations. - Roland Becker; Stéphane P. A. Bordas; Franz Chouly; Pascal Omnes (CoRR, 2024)

Mapped Coercivity for the Stationary Navier-Stokes Equations and Their Finite Element Approximations. - Roland Becker; Malte Braack (Comput. Methods Appl. Math., 2025)