News and recent events

  • PhD opportunity: Adaptive numerical algorithms for PDE problems with random input data.
  • Future event: mini-symposium "Finite element methods for efficient uncertainty quantification" at MAFELAP 2019 (Brunel University, Uxbridge; 17-21 June 2019).
  • New preprint: together with Arbaz Khan, Catherine Powell, and David Silvester we have performed a posteriori error analysis of stochastic Galerkin approximations for parameter-dependent linear elasticity equations. In addition, we have developed an adaptive algorithm that employs proxies for the error reduction associated with certain enrichments of approximations spaces.
    Preprint on arXiv
  • 24-26 September 2017: giving a talk at the Chemnitz FEM Symposium 2018 (Chemnitz, Germany).
  • September 2018: visiting Vienna University of Technology (TU Wien) to collaborate with Dirk Praetorius and his research group.
  • New preprint: In a joint work with Timo Betcke, Alexander Haberl, and Dirk Praetorius, we have proposed an adaptive mesh-refinement algorithm for numerical solution of the boundary integral formulations of the Helmholtz equations in 2D and 3D. We have proved that the associated adaptive boundary element method converges with optimal algebraic rates.
    Preprint on arXiv
  • 28-29 June 2018: research visit by Michele Ruggeri (University of Vienna).
  • New preprint: together with Dirk Praetorius, Leonardo Rocchi and Michele Ruggeri we have designed and implemented an efficient adaptive algorithm for approximating linear quantities of interest derived from solutions to elliptic PDEs with parametric or uncertain inputs. Our adaptive refinement strategy employs the error reduction indicators computed for spatial and parametric components of the primal and dual solutions. (To appear in Comput. Methods Appl. Mech. Engrg.)
    Preprint on arXiv
  • April - May 2018: participating in the Scientific Programme "Uncertainty quantification for complex systems: theory and methodologies" at the Isaac Newton Institute for Mathematical Sciences in Cambridge.
  • March 2018: research visit to Vienna University of Technology (TU Wien) to collaborate with Dirk Praetorius and his research group.
  • 14-15 February 2018: Martin Eigel (WIAS, Berlin) visited us and gave a talk at the Optimisation and Numerical Analysis Seminar.
  • 8-12 January 2018: attending the workshop "Key UQ methodologies and motivating applications" at the Isaac Newton Institute for Mathematical Sciences in Cambridge.
  • Software release: together with Leonardo Rocchi we have extended the T-IFISS package to cover stochastic Galerkin approximations of diffusion problems with random coefficients, including the associated a posteriori error estimation and adaptive algorithms.
    Link to the software
  • 30 November 2017: Aretha Teckentrup (University of Edinburgh) visited us and gave a talk at the Applied Mathematics Seminar.
  • 25-27 September 2017: attending the 30th Chemnitz FEM Symposium (Strobl / St. Wolfgang, Austria).
  • New preprint: together with Leonardo Rocchi we have developed a novel adaptive algorithm implementing stochastic Galerkin FEM for elliptic PDEs with random data. The algorithm employs the error reduction indicators to perform a balanced adaptive refinement of spatial and stochastic components of Galerkin approximations. The efficiency of the algorithm is tested on three representative parametric PDEs with spatially regular as well as spatially singular solutions. (Published in SIAM/ASA J. Uncertain. Quantif.)
    Link to the paper      Download pdf-file
  • June 2017: welcome to Dr Feng Xu who joined the team as a research fellow to work on the EPSRC funded project "Numerical analysis of adaptive UQ algorithms for PDEs with random inputs".
  • 27-30 June 2017: attending The 27th Biennial Numerical Analysis Conference at the University of Strathclyde in Glasgow and speaking at the Minisymposium "Recent Developments in Uncertainty Quantification".
  • 26-27 May 2017: attending The 15th European Finite Element Fair at the University of Milano.
  • 11-13 April 2017: 25th UKACM Conference on Computational Mechanics, University of Birmingham.
  • March - April 2017: research visit to Vienna University of Technology (TU Wien) to collaborate with Dirk Praetorius and his research group.
  • 30 January, 2017: Lehel Banjai (Heriot-Watt University ) visited us and gave a talk at the Applied Mathematics Seminar.