-adaptive least-squares finite element methods for the 2D Stokes equations of any order with optimal convergence rates. - Philipp Bringmann; Carsten Carstensen (Comput. Math. Appl., 2017)

An adaptive least-squares FEM for the Stokes equations with optimal convergence rates. - Philipp Bringmann; Carsten Carstensen (Numerische Mathematik, 2017)

Convergence of natural adaptive least squares finite element methods. - Carsten Carstensen; Eun-Jae Park; Philipp Bringmann (Numerische Mathematik, 2017)

Nonlinear discontinuous Petrov-Galerkin methods. - Carsten Carstensen; Philipp Bringmann; Friederike Hellwig; Peter Wriggers (Numerische Mathematik, 2018)

An Adaptive Least-Squares FEM for Linear Elasticity with Optimal Convergence Rates. - Philipp Bringmann; Carsten Carstensen; Gerhard Starke (SIAM J. Numer. Anal., 2018)

Parameter-free implementation of the quadratic C0 interior penalty method for the biharmonic equation. - Philipp Bringmann; Carsten Carstensen; Julian Streitberger (CoRR, 2022)

Computational competition of three adaptive least-squares finite element schemes. - Philipp Bringmann (CoRR, 2022)

Scaling-robust built-in a posteriori error estimation for discontinuous least-squares finite element methods. - Philipp Bringmann (CoRR, 2023)

How to prove optimal convergence rates for adaptive least-squares finite element methods. - Philipp Bringmann (J. Num. Math., 2023)

Review and computational comparison of adaptive least-squares finite element schemes. - Philipp Bringmann (Comput. Math. Appl., 2024)

Iterative solvers in adaptive FEM. - Philipp Bringmann; Ani Miraçi; Dirk Praetorius (CoRR, 2024)

Local parameter selection in the C0 interior penalty method for the biharmonic equation. - Philipp Bringmann; Carsten Carstensen; Julian Streitberger (J. Num. Math., 2024)

On full linear convergence and optimal complexity of adaptive FEM with inexact solver. - Philipp Bringmann; Michael Feischl; Ani Miraçi; Dirk Praetorius; Julian Streitberger (Comput. Math. Appl., 2025)

Discrete Helmholtz Decompositions of Piecewise Constant and Piecewise Affine Vector and Tensor Fields. - Philipp Bringmann; Jonas W. Ketteler; Mira Schedensack (Found. Comput. Math., 2025)

Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs. - Philipp Bringmann; Maximilian Brunner; Dirk Praetorius; Julian Streitberger (J. Num. Math., 2025)