| Superconvergence analysis of the SDFEM for elliptic problems with characteristic layers S Franz, T Linß, HG Roos Applied numerical mathematics 58 (12), 1818-1829, 2008 | 52 | 2008 |
| Superconvergence analysis of the Galerkin FEM for a singularly perturbed convection–diffusion problem with characteristic layers S Franz, T Linß Numerical Methods for Partial Differential Equations: An International …, 2008 | 49 | 2008 |
| Error estimation in a balanced norm for a convection-diffusion problem with two different boundary layers S Franz, HG Roos Calcolo 51 (3), 423-440, 2014 | 41 | 2014 |
| The capriciousness of numerical methods for singular perturbations S Franz, HG Roos SIAM review 53 (1), 157-173, 2011 | 33 | 2011 |
| Local projection stabilisation on S-type meshes for convection–diffusion problems with characteristic layers S Franz, G Matthies Computing 87 (3), 135-167, 2010 | 29 | 2010 |
| Greenʼs function estimates for a singularly perturbed convection–diffusion problem S Franz, N Kopteva Journal of Differential Equations 252 (2), 1521-1545, 2012 | 28 | 2012 |
| Robust error estimation in energy and balanced norms for singularly perturbed fourth order problems S Franz, HG Roos Computers & Mathematics with Applications 72 (1), 233-247, 2016 | 25 | 2016 |
| A note on the convergence analysis of a diffuse-domain approach S Franz, HG Roos, R Gärtner, A Voigt Computational Methods in Applied Mathematics 12 (2), 153-167, 2012 | 21 | 2012 |
| Continuous interior penalty method on a Shishkin mesh for convection–diffusion problems with characteristic boundary layers S Franz Computer methods in applied mechanics and engineering 197 (45-48), 3679-3686, 2008 | 20 | 2008 |
| Finite element approximation of convection–diffusion problems using an exponentially graded mesh C Xenophontos, S Franz, L Ludwig Computers & Mathematics with Applications 72 (6), 1532-1540, 2016 | 19 | 2016 |
| A C0 interior penalty method for a singularly‐perturbed fourth‐order elliptic problem on a layer‐adapted mesh S Franz, HG Roos, A Wachtel Numerical Methods for Partial Differential Equations 30 (3), 838-861, 2014 | 19 | 2014 |
| Galerkin and streamline diffusion finite element methods on a Shishkin mesh for a convection-diffusion problem with corner singularities S Franz, R Kellogg, M Stynes Mathematics of Computation 81 (278), 661-685, 2012 | 18 | 2012 |
| Uniform superconvergence of a finite element method with edge stabilization for convection-diffusion problems S Franz, T Linß, HG Roos, S Schiller Journal of Computational Mathematics, 32-44, 2010 | 17 | 2010 |
| Resolvent estimates and numerical implementation for the homogenisation of one‐dimensional periodic mixed type problems S Franz, M Waurick ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte …, 2018 | 16 | 2018 |
| SDFEM with non-standard higher-order finite elements for a convection-diffusion problem with characteristic boundary layers S Franz BIT Numerical Mathematics 51 (3), 631-651, 2011 | 16 | 2011 |
| Numerical methods for changing type systems S Franz, S Trostorff, M Waurick IMA Journal of Numerical Analysis 39 (2), 1009-1038, 2019 | 15 | 2019 |
| Singularly perturbed problems with characteristic layers: Supercloseness and postprocessing S Franz | 15 | 2008 |
| Convergence on layer-adapted meshes and anisotropic interpolation error estimates of non-standard higher order finite elements S Franz, G Matthies Applied numerical mathematics 61 (6), 723-737, 2011 | 14 | 2011 |
| Error estimates in balanced norms of finite element methods for higher order reaction-diffusion problems S Franz, HG Roos arXiv preprint arXiv:1902.09829, 2019 | 13 | 2019 |
| The combination technique for a two-dimensional convection-diffusion problem with exponential layers S Franz, F Liu, HG Roos, M Stynes, A Zhou Applications of Mathematics 54 (3), 203-223, 2009 | 12 | 2009 |
