A convergent adaptive algorithm for Poisson’s equation W Dörfler SIAM Journal on Numerical Analysis 33 (3), 1106-1124, 1996 | 1537 | 1996 |

Small data oscillation implies the saturation assumption W Dörfler, RH Nochetto Numerische Mathematik 91 (1), 1-12, 2002 | 179 | 2002 |

Photonic crystals: Mathematical analysis and numerical approximation W Dörfler, A Lechleiter, M Plum, G Schneider, C Wieners Springer Science & Business Media, 2011 | 82 | 2011 |

Reliable a posteriori error control for nonconforming finite element approximation of Stokes flow W Dörfler, M Ainsworth Mathematics of computation 74 (252), 1599-1619, 2005 | 71 | 2005 |

Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems W Dörfler, S Findeisen, C Wieners Computational Methods in Applied Mathematics 16 (3), 409-428, 2016 | 68 | 2016 |

An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation W Dörfler, M Rumpf Mathematics of computation 67 (224), 1361-1382, 1998 | 66 | 1998 |

Convergence of an adaptive hp finite element strategy in one space dimension W Dörfler, V Heuveline Applied numerical mathematics 57 (10), 1108-1124, 2007 | 63 | 2007 |

Convergence of an adaptive hp finite element strategy in higher space-dimensions M Bürg, W Dörfler Applied numerical mathematics 61 (11), 1132-1146, 2011 | 50 | 2011 |

Parallel dilute particulate flow simulations in the human nasal cavity T Henn, G Thäter, W Dörfler, H Nirschl, MJ Krause Computers & Fluids 124, 197-207, 2016 | 48 | 2016 |

A time-and spaceadaptive algorithm for the linear time-dependent Schrödinger equation W Dörfler Numerische Mathematik 73 (4), 419-448, 1996 | 44 | 1996 |

Inertial dilute particulate fluid flow simulations with an Euler–Euler lattice Boltzmann method R Trunk, T Henn, W Dörfler, H Nirschl, MJ Krause Journal of Computational Science 17 (2), 438-445, 2016 | 35 | 2016 |

Investigation of the nonlinear effects during the sedimentation process of a charged colloidal particle by direct numerical simulation F Keller, M Feist, H Nirschl, W Dörfler Journal of colloid and interface science 344 (1), 228-236, 2010 | 35 | 2010 |

A robust adaptive strategy for the nonlinear Poisson equation W Dörfler Computing 55 (4), 289-304, 1995 | 34 | 1995 |

An adaptive finite element method for a linear elliptic equation with variable coefficients W Dörfler, O Wilderotter ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte …, 2000 | 32 | 2000 |

Uniform a priori estimates for singularly perturbed elliptic equations in multidimensions W Dörfler SIAM journal on numerical analysis 36 (6), 1878-1900, 1999 | 28 | 1999 |

Diffusion driven optofluidic dye lasers encapsulated into polymer chips T Wienhold, F Breithaupt, C Vannahme, MB Christiansen, W Dörfler, ... Lab on a Chip 12 (19), 3734-3739, 2012 | 25 | 2012 |

Local well-posedness of a quasilinear wave equation W Dörfler, H Gerner, R Schnaubelt Applicable Analysis 95 (9), 2110-2123, 2016 | 21 | 2016 |

A posteriori error estimation for highly indefinite Helmholtz problems W Dörfler, S Sauter Computational Methods in Applied Mathematics 13 (3), 333-347, 2013 | 21 | 2013 |

Linear and brute force stability of orthogonal moment multiple-relaxation-time lattice Boltzmann methods applied to homogeneous isotropic turbulence S Simonis, M Haussmann, L Kronberg, W Dörfler, MJ Krause Philosophical Transactions of the Royal Society A 379 (2208), 20200405, 2021 | 20 | 2021 |

Parallel adaptive discontinuous Galerkin discretizations in space and time for linear elastic and acoustic waves W Dörfler, S Findeisen, C Wieners, D Ziegler Space-Time Methods. Applications to Partial Differential Equations 25, 237-259, 2019 | 20 | 2019 |