Staff profile

Personal webpage

Chapter in book

• Dallabona, Alice & Giani, Stefano (Accepted). The Good, the Bad, and the Ugly. In Storytelling in Luxury Fashion: Brands, Visual Cultures, and Technologies. Sikarskie, Amanda Routledge.
• Antonietti, P. F., Cangiani, A., Collis, J., Dong, Z., Georgoulis, E. H., Giani, S. & Houston, P. (2016). Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains. In Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations. Barrenechea, G. R., Brezzi, F., Cangiani, A. & Georgoulis, E. H. Cham, Switzerland: Springer. 279-308.
• Giani, S & Houston, P. (2010). Chapter Chapter 28. In ADIGMA - A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications. 113: 399.

Conference Paper

• Desmond, Eleanor L, Xu, Jing, Wong, Timothy C, Simon, Marc S, Giani, Stefano & Brigham, John C (2019), Classification of Pulmonary Hypertension by Shape Analysis of the Human Right Ventricle: Robustness and Preliminary Association with Clinical Outcomes, Proceedings of the 6th International Conference on Computational & Mathematical Biomedical Engineering CMBE19 6th International Conference on Computational and Mathematical Biomedical Engineering. Sendai City, Japan.
• Adams, T., Giani, S & Coombs, W.M. (2017), Level set based topology optimisation using high-order reinitialisation methods and the discontinuous Galerkin method, in Faramarzi, A. & Dirar, S. eds, 25th UKACM Conference on Computational Mechanics. Birmingham, UK, University of Birmingham, 18-21.
• Bird, R., Coombs, W.M. & Giani, S. (2017), A discontinuous Galerkin hp-adaptive finite element method for brittle crack propagation, in Faramarzi, A. & Dirar, S. eds, 25th UKACM Conference on Computational Mechanics. Birmingham, UK, University of Birmingham, 138-141.
• Adams, T., Giani, S. & Coombs, W.M. (2016), Topology optimisation using level set methods and the discontinuous Galerkin method, ACME - UK 2016 24th Conference of the Association for Computational Mechanics in Engineering. Cardiff, UK, Cardiff University, Cardiff, 6-9.
• Bird, R.E., Coombs, W.M. & Giani, S. (2016), Two dimensional configurational-force-driven crack propagation using the discontinuous Galerkin method with rp-adaptivity, ACME - UK 2016 24th Conference of the Association for Computational Mechanics in Engineering. Cardiff, UK, Cardiff University, Cardiff, 137-140.

Journal Article

• Giani, Stefano, Engström, Christian & Grubišić, Luka (2023). khp-adaptive spectral projection based discontinuous Galerkin method for the numerical solution of wave equations with memory. Journal of Computational and Applied Mathematics 429: 115212.
• Giani, Stefano & Hakula, Harri (2023). On Effects of Concentrated Loads on Perforated Sensitive Shells of Revolution. Journal of Computational and Applied Mathematics 428: 115165.
• Miles, Victoria, Giani, Stefano & Vogt, Oliver (2023). Approaching STEP file analysis as a language processing task: A robust and scale-invariant solution for machining feature recognition. Journal of Computational and Applied Mathematics 427: 115166.
• Miles, Victoria, Giani, Stefano & Vogt, Oliver (2023). Recursive Encoder Network for the Automatic Analysis of STEP Files. Journal of Intelligent Manufacturing 34(1): 181-196.
• Engström, Christian, Giani, Stefano & Grubišić, Luka (2023). Numerical solution of distributed-order time-fractional diffusion-wave equations using Laplace transforms. Journal of Computational and Applied Mathematics 425: 115035.
• Giani, Stefano & Hakula, Harri (2022). Free Vibration of Perforated Cylindrical Shells of Revolution: Asymptotics and Effective Material Parameters. Computer Methods in Applied Mechanics and Engineering 403(Part A): 115700.
• Miles, Victoria, Gurr, Francis & Giani, Stefano (2022). Camera-Based System for the Automatic Detection of Vehicle Axle Count and Speed Using Convolutional Neural Networks. International Journal of Intelligent Transportation Systems Research 20(3): 778-792.
• Wiltshire, Thomas, Bird, Robert E., Coombs, William M. & Giani, Stefano (2022). An open source hp-adaptive discontinuous Galerkin finite element solver for linear elasticity. Advances in Engineering Software 171: 103147.
• Bird, R.E., Coombs, W.M. & Giani, S. (2022). Adaptive Configurational Force-based crack propagation for brittle and fatigue analysis. International Journal for Numerical Methods in Engineering 123(7): 1673-1709.
• Sales, R.M. & Giani, S. (2022). Enhancing Lecture Capture with Deep Learning. Advances in Engineering Software
• Engström, C., Giani, S. & Grubišić, L. (2022). Higher Order Composite DG approximations of Gross–Pitaevskii ground state: benchmark results and experiments. Journal of Computational and Applied Mathematics 400: 113652.
• Engström, Christian, Giani, Stefano & Grubišić, Luka (2022). A spectral projection based method for the numerical solution of wave equations with memory. Applied Mathematics Letters 127: 107844.
• Readshaw, Jonathan & Giani, Stefano (2021). Using Company-Specific Headlines and Convolutional Neural Networks to Predict Stock Fluctuations. Neural Computing and Applications 33(24): 17353-17367.
• Giani, Stefano, Grubišic, Luka, Hakula, Harri & Ovall, Jeffrey S. (2021). A Posteriori Error Estimates for Elliptic Eigenvalue Problems Using Auxiliary Subspace Techniques. Journal of Scientific Computing 88(3): 55.
• Mulita, Ornela, Giani, Stefano & Heltai, L. (2021). Quasi-optimal mesh sequence construction through Smoothed Adaptive Finite Element Methods. SIAM Journal on Scientific Computing 43(3): A2211-A2241.
• Giani, S. & Solin, P. (2021). Solving Elliptic Eigenproblems with Adaptive Multimesh hp-FEM. Journal of Computational and Applied Mathematics 394: 113528.
• Giani, S., Grubišić, L. Heltai, L. & Mulita, O. (2021). Smoothed-adaptive perturbed inverse iteration for elliptic eigenvalue problems. Computational Methods in Applied Mathematics 21(2): 385-405.
• Giani, Stefano & Hakula, Harri (2021). On Effects of Perforated Domains on Parameter-Dependent Free Vibration. Journal of Computational and Applied Mathematics 394: 113526.
• Giani, S. & Hakula, H. (2020). On Effective Material Parameters of Thin Perforated Shells under Static Loading. Computer Methods in Applied Mechanics and Engineering 367: 113094.
• Giani, S. (2020). An adaptive composite discontinuous Galerkin method for elliptic problems on complicated domains with discontinuous coefficients. Advances in Computational Mathematics 46(1): 13.
• Giani, S. & Seaid, M. (2020). Multi-hp adaptive discontinuous Galerkin methods for simplified PN approximations of 3D radiative transfer in non-gray media. Applied Numerical Mathematics 150: 252-273.
• Bird, R.E., Coombs, W.M. & Giani, S. (2019). Accurate Configuration Force Evaluation via hp-adaptive Discontinuous Galerkin Finite Element Analysis. Engineering Fracture Mechanics 216: 106370.
• Cangiani, A., Georgoulis, E. H., Giani, S. & Metcalfe, S. (2019). hp-adaptive discontinuous Galerkin methods for non-stationary convection-diffusion problems. Computers and Mathematics with Applications 78(9): 3090-3104.
• O'Sullivan, S, Bird, R.E., Coombs, W.M. & Giani, S. (2019). Rapid non-linear finite element analysis of continuous and discontinuous Galerkin methods in MATLAB. Computers and Mathematics with Applications 78(9): 3007-3026.
• Adams, T., McLeish, N., Giani, S. & Coombs, W.M. (2019). A parabolic level set reinitialisation method using a discontinuous Galerkin discretisation. Computers and Mathematics with Applications 78(9): 2944-2960.
• Adams, T., Giani, S. & Coombs, W.M. (2019). A high-order elliptic PDE based level set reinitialisation method using a discontinuous Galerkin discretisation. Journal of Computational Physics 379: 373-391.
• Bird, R. E., Coombs, W. M. & Giani, S. (2019). A posteriori discontinuous Galerkin error estimator for linear elasticity. Applied Mathematics and Computation 344-345: 78-96.
• Guérin‐Marthe, Simon, Nielsen, Stefan, Bird, Robert, Giani, Stefano & Di Toro, Giulio (2019). Earthquake Nucleation Size: Evidence of Loading Rate Dependence in Laboratory Faults. Journal of Geophysical Research: Solid Earth 124(1): 698-708.
• Giani, S. (2018). hp-adaptive celatus enriched discontinuous Galerkin method for second-order elliptic source problems. SIAM Journal on Scientific Computing (SISC) 40(5): B1391–B1418.
• Giani, S. (2018). Reliable anisotropic-adaptive discontinuous Galerkin method for simplified P_N approximations of radiative transfer. Journal of Computational and applied mathematics 337: 225-243.
• Bird, R.E., Coombs, W.M. & Giani, S. (2018). A quasi-static discontinuous Galerkin configurational force crack propagation method for brittle materials. International Journal for Numerical Methods in Engineering 113(7): 1061-1080.
• Giani, S., Grubišić, L., Hakula, H. & Ovall, J. S. (2018). An a posteriori estimator of eigenvalue/eigenvector error for penalty-type discontinuous Galerkin methods. Applied Mathematics and Computation 319: 562-574.
• Bird, R.E., Coombs, W.M. & Giani, S. (2017). Fast native-MATLAB stiffness assembly for SIPG linear elasticity. Computers and Mathematics with Applications 74(12): 3209-3230.
• Engström, C., Giani, S. & Grubišić, L. (2016). Efficient and reliable hp-FEM estimates for quadratic eigenvalue problems and photonic crystal applications. Computers and Mathematics with Applications 72(4): 952-973.
• Giani, S. & Seaid, M. (2016). hp-adaptive discontinuous Galerkin methods for simplified PN approximations of frequency-dependent radiative transfer. Computer Methods in Applied Mechanics and Engineering 301: 52-79.
• Giani, S., Grubišić, L., Międlar, A. & Ovall, J. (2016). Robust error estimates for approximations of non-self-adjoint eigenvalue problems. Numerische Mathematik 133(3): 471-495.
• Giani, S., Grubišić, L. & Ovall, J. S. (2016). Benchmark results for testing adaptive finite element eigenvalue procedures part 2 (conforming eigenvector and eigenvalue estimates). Applied Numerical Mathematics 102: 1-16.
• Giani, Stefano (2015). Solving elliptic eigenvalue problems on polygonal meshes using discontinuous Galerkin composite finite element methods. Applied Mathematics and Computation 267: 618-631.
• Giani, Stefano (2015). hp-Adaptive composite discontinuous Galerkin methods for elliptic eigenvalue problems on complicated domains. Applied mathematics and computation 267: 604-617.
• Antonietti, Paola, Giani, Stefano & Houston, Paul (2014). Domain Decomposition Preconditioners for Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains. Journal of Scientific Computing 60(1): 203-227.
• Giani, Stefano & Houston, Paul (2014). hp–Adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains. Numerical Methods for Partial Differential Equations 30(4): 1342-1367.
• Giani, Stefano (2014). A hp-adaptive discontinuous Galerkin method for plasmonic waveguides. Journal of Computational and Applied Mathematics 270: 12-20.
• Giani, Stefano & Houston, Paul (2014). Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows. Journal of Computational and Applied Mathematics 270: 32-42.
• Giani, Stefano, Schötzau, Dominik & Zhu, Liang (2014). An a-posteriori error estimate for hp-adaptive DG methods for convection–diffusion problems on anisotropically refined meshes. Computers & Mathematics with Applications 67(4): 869-887.
• Giani, S. (2013). An a posteriori error estimator for hp-adaptive continuous Galerkin methods for photonic crystal applications. Computing 95(5): 395-414.
• Solin, P. & Giani, S. (2013). An iterative adaptive hp-FEM method for non-symmetric elliptic eigenvalue problems. Computing 95(1 Supplement): S183-S213.
• Giani, S. & Hall, E. (2013). An a-posteriori error estimate for hp-adaptive DG methods for elliptic eigenvalue problems on anisotropically refined meshes. Computing 95(1 Supplement): S319-S341.
• Antonietti, Paola, Giani, Stefano & Houston, Paul (2013). hp-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains. SIAM Journal on Scientific Computing 35(3): A1417-A1439.
• Giani, S. (2013). High-order/hp-adaptive discontinuous Galerkin finite element methods for acoustic problems. Computing 95(1 Supplement): S215-S234.
• Giani, S., Grubišić, L. & Ovall, J. (2013). Error control for hp -adaptive approximations of semi-definite eigenvalue problems. Computing 95(1): 235-257.
• Giani, S. (2012). Convergent adaptive finite element methods for photonic crystal applications. Mathematical Models and Methods in Applied Sciences 22(10): 1250028.
• Giani, S. & Graham, I.G. (2012). Adaptive finite element methods for computing band gaps in photonic crystals. Numerische Mathematik 121(1): 31-64.
• Giani, S. (2012). An a posteriori error estimator for hp-adaptive discontinuous Galerkin methods for computing band gaps in photonic crystals. Journal of Computational and Applied Mathematics 236(18): 4810-4826.
• Giani, S. & Hall, E. (2012). An A Posteriori Error Estimator for Hp-Adaptive Discontinuous Galerkin Methods for Elliptic Eigenvalue Problems. Mathematical Models and Methods in Applied Sciences 22(10): 1250030.
• Solin, P. & Giani, S. (2012). An Iterative Adaptive Finite Element Method for Elliptic Eigenvalue Problems. Journal of Computational and Applied Mathematics 236(18): 4582-4599.
• Giani, S. & Houston, P. (2012). Anisotropic hp-adaptive discontinuous Galerkin finite element methods for compressible fluid flows. International Journal of Numerical Analysis and Modeling 9(4): 928-949.
• Giani, S., Grubisic, L. & Ovall, J. (2012). Benchmark results for testing adaptive finite element eigenvalue procedures. Applied Numerical Mathematics 62(2): 121-140.
• Chappell, D., Tanner, G. & Giani, S. (2012). Boundary element dynamical energy analysis: a versatile method for solving two or three dimensional wave problems in the high frequency limit. Journal of Computational Physics 231(18): 6181-6191.
• Zhu, L., Giani, S., Houston, P. & Schötzau, D. (2011). Energy Norm A-Posteriori Error Estimation for hp-Adaptive Discontinuous Galerkin Methods for Elliptic Problems in Three Dimensions. Mathematical Models and Methods in Applied Sciences 21(02): 267-306.
• Chappell, D., Giani, S. & Tanner, G. (2011). Dynamical energy analysis for built-up acoustic systems at high frequencies. The Journal of the Acoustical Society of America 130(3): 1420-1429.
• Giani, S. & Graham, I.G. (2009). A convergent adaptive method for elliptic eigenvalue problems. SIAM Journal on Numerical Analysis 47(2): 1067-1091.