Cookies

We use cookies to ensure that we give you the best experience on our website. You can change your cookie settings at any time. Otherwise, we'll assume you're OK to continue.

Durham University

Email and Telephone Directory

Staff Profile

Dr Stefano Giani

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.

Show all publications

Supervises