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Durham University

Email and Telephone Directory

Staff Profile

Dr Stefano Giani

ORCID profile
Assistant Professor in the Department of Engineering
Telephone: +44 (0) 191 33 42397
Room number: E329 (Floor 3.5 Christopherson)

(email at stefano.giani@durham.ac.uk)

Biography

Personal webpage

Research Groups

Department of Engineering

  • Sustainable Infrastructure

Selected Publications

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.

Journal Article

  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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, Stefano (2015). hp-Adaptive composite discontinuous Galerkin methods for elliptic eigenvalue problems on complicated domains. Applied mathematics and computation 267: 604-617.
  • 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 (2014). A hp-adaptive discontinuous Galerkin method for plasmonic waveguides. Journal of Computational and Applied Mathematics 270: 12-20.
  • 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.
  • 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). Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows. Journal of Computational and Applied Mathematics 270: 32-42.
  • 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, S. (2013). An a posteriori error estimator for hp-adaptive continuous Galerkin methods for photonic crystal applications. Computing 95(5): 395-414.
  • 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.
  • 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., Grubišić, L. & Ovall, J. (2013). Error control for hp -adaptive approximations of semi-definite eigenvalue problems. Computing 95(1): 235-257.
  • Giani, S. (2013). High-order/hp-adaptive discontinuous Galerkin finite element methods for acoustic problems. Computing 95(1 Supplement): S215-S234.
  • 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. & 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.
  • Giani, S. (2012). Convergent adaptive finite element methods for photonic crystal applications. Mathematical Models and Methods in Applied Sciences 22(10): 1250028.
  • 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.
  • 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.
  • Giani, S. & Graham, I.G. (2009). A convergent adaptive method for elliptic eigenvalue problems. SIAM Journal on Numerical Analysis 47(2): 1067-1091.

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Supervises