Staff profile

I am an Associate Professor in High-Performance Computing within the Department of Engineeringat Durham University, specialising in Finite Element Methods (FEMs) that I applied to a varietyof linear and non-linear problems in solid mechanics, fluid dynamics, photonics, acoustics andradiative heat transfer. My research interests include discontinuous Galerkin methods, error estimators, adaptivity, multi-level methods, preconditioners and fracture.

I am also an expert in Deep Neural Networks (DNNs) to tackle a variety of problems such as AI-based machine monitoring systems, natural language processing and artificial language processing.

• Finite Element Methods (FEMs) and Artificial Intelligence (AI).

Chapter in book

• Dallabona, A., & Giani, S. (in press). The Good, the Bad, and the Ugly. In A. Sikarskie (Ed.), Storytelling in Luxury Fashion: Brands, Visual Cultures, and Technologies. Routledge
• Antonietti, P., Cangiani, A., Collis, J., Dong, Z., Georgoulis, E., Giani, S., & Houston, P. (2016). Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains. In G. Barrenechea, F. Brezzi, A. Cangiani, & E. Georgoulis (Eds.), Building bridges : connections and challenges in modern approaches to numerical partial differential equations (279-308). Springer Verlag. https://doi.org/10.1007/978-3-319-41640-3_9
• 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. https://doi.org/10.1007/978-3-642-03707-8_28

Conference Paper

• Miles, V., Giani, S., Vogt, O., & Kafieh, R. Recursive autoencoder network for prediction of CAD model parameters from STEP files
• Weatherburn, A., Reinarz, A., Giani, S., & Szyniszewski, S. (2024, April). Modelling Fracture Behaviour in Fibre-Hybrid 3D Woven Composites. Presented at 2024 UK Association for Computational Mechanics Conference, Durham, UK
• Sims, B., Bird, R. E., Coombs, W. M., & Giani, S. (2024, April). Immersed traction boundary conditions in phase field fracture modelling. Presented at 2024 UK Association for Computational Mechanics Conference, Durham, UK
• Sims, B., Bird, R., Giani, S., & Coombs, W. (2023, April). An investigation into the methods for modelling pre-existing cracks in phase field problems. Presented at UKACM 2023, Warwick, UK
• Desmond, E. L., Xu, J., Wong, T. C., Simon, M. S., Giani, S., & Brigham, J. C. (2019, December). Classification of Pulmonary Hypertension by Shape Analysis of the Human Right Ventricle: Robustness and Preliminary Association with Clinical Outcomes. Presented at 6th International Conference on Computational and Mathematical Biomedical Engineering, Sendai City, Japan
• Adams, T., Giani, S., & Coombs, W. (2017, April). Level set based topology optimisation using high-order reinitialisation methods and the discontinuous Galerkin method. Presented at 25th Conference on Computational Mechanics UKACM 2017., Birmingham, UK
• Bird, R., Coombs, W., & Giani, S. (2017, December). A discontinuous Galerkin hp-adaptive finite element method for brittlecrack propagation. Presented at 25th UKACM Conference on Computational Mechanics, Birmingham, UK
• Adams, T., Giani, S., & Coombs, W. (2023, March). Topology optimisation using level set methods and the discontinuous Galerkin method. Presented at ACME - UK 2016 24th Conference of the Association for Computational Mechanics in Engineering., Cardiff, UK
• Bird, R., Coombs, W., & Giani, S. (2023, March). Two dimensional configurational-force-driven crack propagation using the discontinuous Galerkin method with rp-adaptivity. Presented at ACME - UK 2016 24th Conference of the Association for Computational Mechanics in Engineering., Cardiff, UK

Conference Proceeding

• (2024, April). UKACM Proceedings 2024. Presented at 2024 UK Association for Computational Mechanics Conference, Durham, UK

Journal Article

• Sales, R. M., & Giani, S. (2024). Enhancing lecture capture with deep learning. Advances in Engineering Software, 196, Article 103732. https://doi.org/10.1016/j.advengsoft.2024.103732
• Bird, R. E., Augarde, C. E., Coombs, W. M., Duddu, R., Giani, S., Huynh, P. T., & Sims, B. (2023). An hp-adaptive discontinuous Galerkin method for phase field fracture. Computer Methods in Applied Mechanics and Engineering, 416, Article 116336. https://doi.org/10.1016/j.cma.2023.116336
• Stone, E., Giani, S., Zappalá, D., & Crabtree, C. (2023). Convolutional neural network framework for wind turbine electromechanical fault detection. Wind Energy, 26(10), 1082 - 1097. https://doi.org/10.1002/we.2857
• Giani, S., Engström, C., & Grubišić, L. (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, Article 115212. https://doi.org/10.1016/j.cam.2023.115212
• Miles, V., Giani, S., & Vogt, O. (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, Article 115166. https://doi.org/10.1016/j.cam.2023.115166
• Engström, C., Giani, S., & Grubišić, L. (2023). Numerical solution of distributed-order time-fractional diffusion-wave equations using Laplace transforms. Journal of Computational and Applied Mathematics, 425, Article 115035. https://doi.org/10.1016/j.cam.2022.115035
• Miles, V., Giani, S., & Vogt, O. (2023). Recursive Encoder Network for the Automatic Analysis of STEP Files. Journal of Intelligent Manufacturing, 34(1), 181-196. https://doi.org/10.1007/s10845-022-01998-x
• Giani, S., & Hakula, H. (2023). On Effects of Concentrated Loads on Perforated Sensitive Shells of Revolution. Journal of Computational and Applied Mathematics, 428, Article 115165. https://doi.org/10.1016/j.cam.2023.115165
• Miles, V., Gurr, F., & Giani, S. (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. https://doi.org/10.1007/s13177-022-00325-1
• Engström, C., Giani, S., & Grubišić, L. (2022). A spectral projection based method for the numerical solution of wave equations with memory. Applied Mathematics Letters, 127, Article 107844. https://doi.org/10.1016/j.aml.2021.107844
• Bird, R., Coombs, W., & 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. https://doi.org/10.1002/nme.6911
• 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, Article 113652. https://doi.org/10.1016/j.cam.2021.113652
• Giani, S., & Hakula, H. (2022). Free Vibration of Perforated Cylindrical Shells of Revolution: Asymptotics and Effective Material Parameters. Computer Methods in Applied Mechanics and Engineering, 403(A), Article 115700. https://doi.org/10.1016/j.cma.2022.115700
• Wiltshire, T., Bird, R. E., Coombs, W. M., & Giani, S. (2022). An open source hp-adaptive discontinuous Galerkin finite element solver for linear elasticity. Advances in Engineering Software, 171, https://doi.org/10.1016/j.advengsoft.2022.103147
• Readshaw, J., & Giani, S. (2021). Using Company-Specific Headlines and Convolutional Neural Networks to Predict Stock Fluctuations. Neural Computing and Applications, 33(24), 17353-17367. https://doi.org/10.1007/s00521-021-06324-9
• Giani, S., & Hakula, H. (2021). On Effects of Perforated Domains on Parameter-Dependent Free Vibration. Journal of Computational and Applied Mathematics, 394, Article 113526. https://doi.org/10.1016/j.cam.2021.113526
• Giani, S., & Solin, P. (2021). Solving Elliptic Eigenproblems with Adaptive Multimesh hp-FEM. Journal of Computational and Applied Mathematics, 394, Article 113528. https://doi.org/10.1016/j.cam.2021.113528
• Giani, S., Grubišic, L., Hakula, H., & Ovall, J. S. (2021). A Posteriori Error Estimates for Elliptic Eigenvalue Problems Using Auxiliary Subspace Techniques. Journal of Scientific Computing, 88(3), Article 55. https://doi.org/10.1007/s10915-021-01572-2
• Mulita, O., Giani, S., & Heltai, L. (2021). Quasi-optimal mesh sequence construction through Smoothed Adaptive Finite Element Methods. SIAM Journal on Scientific Computing, 43(3), A2211-A2241. https://doi.org/10.1137/19m1262097
• 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. https://doi.org/10.1515/cmam-2020-0027
• Giani, S., & Hakula, H. (2020). On Effective Material Parameters of Thin Perforated Shells under Static Loading. Computer Methods in Applied Mechanics and Engineering, 367, Article 113094. https://doi.org/10.1016/j.cma.2020.113094
• 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. https://doi.org/10.1016/j.apnum.2019.09.018
• Giani, S. (2020). An adaptive composite discontinuous Galerkin method for elliptic problems on complicated domains with discontinuous coefficients. Advances in Computational Mathematics, 46(1), Article 13. https://doi.org/10.1007/s10444-020-09759-1
• Adams, T., McLeish, N., Giani, S., & Coombs, W. (2019). A parabolic level set reinitialisation method using a discontinuous Galerkin discretisation. Computers and Mathematics with Applications, 78(9), 2944-2960. https://doi.org/10.1016/j.camwa.2019.01.032
• Cangiani, A., Georgoulis, E., 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. https://doi.org/10.1016/j.camwa.2019.04.002
• Bird, R., Coombs, W., & Giani, S. (2019). Accurate Configuration Force Evaluation via hp-adaptive Discontinuous Galerkin Finite Element Analysis. Engineering Fracture Mechanics, 216, Article 106370. https://doi.org/10.1016/j.engfracmech.2019.02.029
• Bird, R., Coombs, W., & Giani, S. (2019). A posteriori discontinuous Galerkin error estimator for linear elasticity. Applied Mathematics and Computation, 344-345, 78-96. https://doi.org/10.1016/j.amc.2018.08.039
• Adams, T., Giani, S., & Coombs, W. (2019). A high-order elliptic PDE based level set reinitialisation method using a discontinuous Galerkin discretisation. Journal of Computational Physics, 379, 373-391. https://doi.org/10.1016/j.jcp.2018.12.003
• O'Sullivan, S., Bird, R., Coombs, W., & 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. https://doi.org/10.1016/j.camwa.2019.03.012
• Giani, S. (2018). hp-adaptive celatus enriched discontinuous Galerkin method for second-order elliptic source problems. SIAM Journal on Scientific Computing, 40(5), B1391-B1418. https://doi.org/10.1137/17m1149912
• 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. https://doi.org/10.1016/j.cam.2017.12.039
• Bird, R., Coombs, W., & 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. https://doi.org/10.1002/nme.5699
• Guérin‐Marthe, S., Nielsen, S., Bird, R., Giani, S., & Di Toro, G. (2018). Earthquake Nucleation Size: Evidence of Loading Rate Dependence in Laboratory Faults. Journal of Geophysical Research. Solid Earth, 124(1), 689-708. https://doi.org/10.1029/2018jb016803
• Bird, R., Coombs, W., & Giani, S. (2017). Fast native-MATLAB stiffness assembly for SIPG linear elasticity. Computers and Mathematics with Applications, 74(12), 3209-3230. https://doi.org/10.1016/j.camwa.2017.08.022
• Giani, S., Grubišić, L., Hakula, H., & Ovall, J. (2017). An a posteriori estimator of eigenvalue/eigenvector error for penalty-type discontinuous Galerkin methods. Applied Mathematics and Computation, 319, 562-574. https://doi.org/10.1016/j.amc.2017.07.007
• 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. https://doi.org/10.1016/j.camwa.2016.06.001
• 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. https://doi.org/10.1007/s00211-015-0752-3
• 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. https://doi.org/10.1016/j.cma.2015.12.013
• Giani, S., Grubišić, L., & Ovall, J. (2016). Benchmark results for testing adaptive finite element eigenvalue procedures part 2 (conforming eigenvector and eigenvalue estimates). Applied Numerical Mathematics, 102, 1-16. https://doi.org/10.1016/j.apnum.2015.12.001
• Giani, S. (2015). Solving elliptic eigenvalue problems on polygonal meshes using discontinuous Galerkin composite finite element methods. Applied Mathematics and Computation, 267, 618-631. https://doi.org/10.1016/j.amc.2015.01.011
• Giani, S. (2015). hp-Adaptive composite discontinuous Galerkin methods for elliptic eigenvalue problems on complicated domains. Applied Mathematics and Computation, 267, 604-617. https://doi.org/10.1016/j.amc.2015.01.031
• Giani, S. (2014). A hp-adaptive discontinuous Galerkin method for plasmonic waveguides. Journal of Computational and Applied Mathematics, 270, 12-20. https://doi.org/10.1016/j.cam.2014.03.009
• Giani, S., & Houston, P. (2014). Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows. Journal of Computational and Applied Mathematics, 270, 32-42. https://doi.org/10.1016/j.cam.2014.03.007
• Giani, S., & Houston, P. (2014). hp–Adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains. Numerical Methods for Partial Differential Equations, 30(4), 1342-1367. https://doi.org/10.1002/num.21872
• Antonietti, P., Giani, S., & Houston, P. (2014). Domain Decomposition Preconditioners for Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains. Journal of Scientific Computing, 60(1), 203-227. https://doi.org/10.1007/s10915-013-9792-y
• Giani, S., Schötzau, D., & Zhu, L. (2014). An a-posteriori error estimate for hp-adaptive DG methods for convection–diffusion problems on anisotropically refined meshes. Computers and Mathematics with Applications, 67(4), 869-887. https://doi.org/10.1016/j.camwa.2012.10.015
• 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. https://doi.org/10.1007/s00607-012-0261-5
• Giani, S. (2013). An a posteriori error estimator for hp-adaptive continuous Galerkin methods for photonic crystal applications. Computing, 95(5), 395-414. https://doi.org/10.1007/s00607-012-0244-6
• Giani, S. (2013). High-order/hp-adaptive discontinuous Galerkin finite element methods for acoustic problems. Computing, 95(1 Supplement), S215-S234. https://doi.org/10.1007/s00607-012-0253-5
• Antonietti, P., Giani, S., & Houston, P. (2013). hp-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains. SIAM Journal on Scientific Computing, 35(3), A1417-A1439. https://doi.org/10.1137/120877246
• Giani, S., Grubišić, L., & Ovall, J. (2013). Error control for hp -adaptive approximations of semi-definite eigenvalue problems. Computing, 95(1), 235-257. https://doi.org/10.1007/s00607-012-0260-6
• Solin, P., & Giani, S. (2013). An iterative adaptive hp-FEM method for non-symmetric elliptic eigenvalue problems. Computing, 95(1 Supplement), S183-S213. https://doi.org/10.1007/s00607-012-0251-7
• 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. https://doi.org/10.1016/j.cam.2012.05.002
• 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. https://doi.org/10.1016/j.cam.2012.02.007
• Giani, S. (2012). Convergent adaptive finite element methods for photonic crystal applications. Mathematical Models and Methods in Applied Sciences, 22(10), https://doi.org/10.1142/s0218202512500285
• 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), https://doi.org/10.1142/s0218202512500303
• 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. https://doi.org/10.1016/j.jcp.2012.05.028
• Giani, S., & Graham, I. (2012). Adaptive finite element methods for computing band gaps in photonic crystals. Numerische Mathematik, 121(1), 31-64. https://doi.org/10.1007/s00211-011-0425-9
• Giani, S., Grubisic, L., & Ovall, J. (2012). Benchmark results for testing adaptive finite element eigenvalue procedures. Applied Numerical Mathematics, 62(2), 121-140. https://doi.org/10.1016/j.apnum.2011.10.007
• 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
• 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. https://doi.org/10.1121/1.3621041
• 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. https://doi.org/10.1142/s0218202511005052
• Giani, S., & Graham, I. (2009). A convergent adaptive method for elliptic eigenvalue problems. SIAM Journal on Numerical Analysis, 47(2), 1067-1091. https://doi.org/10.1137/070697264