-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains PF Antonietti, S Giani, P Houston SIAM Journal on Scientific Computing 35 (3), A1417-A1439, 2013 | 114 | 2013 |
Review of discontinuous Galerkin finite element methods for partial differential equations on complicated domains PF Antonietti, A Cangiani, J Collis, Z Dong, EH Georgoulis, S Giani, ... Building bridges: connections and challenges in modern approaches to …, 2016 | 98 | 2016 |
A convergent adaptive method for elliptic eigenvalue problems S Giani, IG Graham SIAM journal on numerical analysis 47 (2), 1067-1091, 2009 | 96 | 2009 |
Earthquake nucleation size: Evidence of loading rate dependence in laboratory faults S Guérin‐Marthe, S Nielsen, R Bird, S Giani, G Di Toro Journal of Geophysical Research: Solid Earth 124 (1), 689-708, 2019 | 63 | 2019 |
Energy norm a posteriori error estimation for hp-adaptive discontinuous Galerkin methods for elliptic problems in three dimensions L Zhu, S Giani, P Houston, D Schötzau Mathematical Models and Methods in Applied Sciences 21 (02), 267-306, 2011 | 48 | 2011 |
Boundary element dynamical energy analysis: A versatile method for solving two or three dimensional wave problems in the high frequency limit DJ Chappell, G Tanner, S Giani Journal of Computational Physics 231 (18), 6181-6191, 2012 | 46* | 2012 |
AN A POSTERIORI ERROR ESTIMATOR FOR hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC EIGENVALUE PROBLEMS S Giani, EJC Hall Mathematical Models and Methods in Applied Sciences 22 (10), 1250030, 2012 | 41 | 2012 |
Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains PF Antonietti, S Giani, P Houston Journal of Scientific Computing 60, 203-227, 2014 | 40 | 2014 |
Adaptive finite element methods for computing band gaps in photonic crystals S Giani, IG Graham Numerische Mathematik 121, 31-64, 2012 | 40 | 2012 |
Dynamical energy analysis for built-up acoustic systems at high frequencies DJ Chappell, S Giani, G Tanner The Journal of the Acoustical Society of America 130 (3), 1420-1429, 2011 | 36 | 2011 |
hp–Adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains S Giani, P Houston Numerical Methods for Partial Differential Equations 30 (4), 1342-1367, 2014 | 31 | 2014 |
An a-posteriori error estimate for hp-adaptive DG methods for convection–diffusion problems on anisotropically refined meshes S Giani, D Schötzau, L Zhu Computers & Mathematics with Applications 67 (4), 869-887, 2014 | 29 | 2014 |
Anisotropic hp-adaptive discontinuous Galerkin finite element methods for compressible fluid flows S Giani, P Houston International journal of numerical analysis and modeling, 2011 | 29 | 2011 |
A posteriori discontinuous Galerkin error estimator for linear elasticity RE Bird, WM Coombs, S Giani Applied Mathematics and computation 344, 78-96, 2019 | 23 | 2019 |
A quasi‐static discontinuous Galerkin configurational force crack propagation method for brittle materials R Bird, W Coombs, S Giani International Journal for Numerical Methods in Engineering 113 (7), 1061-1080, 2018 | 19 | 2018 |
Benchmark results for testing adaptive finite element eigenvalue procedures S Giani, L Grubišić, JS Ovall Applied numerical mathematics 62 (2), 121-140, 2012 | 19 | 2012 |
hp-adaptive composite discontinuous Galerkin methods for elliptic eigenvalue problems on complicated domains S Giani Applied Mathematics and computation 267, 604-617, 2015 | 15 | 2015 |
Robust error estimates for approximations of non-self-adjoint eigenvalue problems S Giani, L Grubišić, A Międlar, JS Ovall Numerische Mathematik 133, 471-495, 2016 | 14 | 2016 |
An iterative adaptive finite element method for elliptic eigenvalue problems P Solin, S Giani Journal of computational and applied mathematics 236 (18), 4582-4599, 2012 | 14 | 2012 |
hp-adaptive discontinuous Galerkin methods for non-stationary convection–diffusion problems A Cangiani, EH Georgoulis, S Giani, S Metcalfe Computers & Mathematics with Applications 78 (9), 3090-3104, 2019 | 13 | 2019 |