News and recent events

  • PhD opportunity: Adaptive numerical algorithms for PDE problems with random data.
  • 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 two representative parametric PDEs with spatially singular solutions.
    Preprint (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 and 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.
  • 28 November, 2016: Kris van der Zee (University of Nottingham) visited us and gave a talk at the Applied Mathematics Seminar.
  • 25 October, 2016: giving a talk at the Applied and Computational Mathematics Seminar at Cardiff University.
  • 9-13 June, 2016: Norbert Heuer (Pontificia Universidad Católica de Chile, Santiago, Chile) visited us and gave a talk at the Applied Mathematics Seminar.
  • Paper published: together with David Silvester we have designed and implemented an adaptive algorithm for efficient solution of elliptic PDEs with random data. The adaptive refinement process is driven by precise estimates of the energy error reductions that will occur if different refinement strategies are pursued. Numerical experiments were performed using our freely available software S-IFISS.
    Link to the paper      Download pdf-file
  • 5-8 April, 2016: attending the SIAM Conference on Uncertainty Quantification at EPFL in Lausanne, Switzerland and speaking at the Minisymposium "Error Estimation and Adaptive Methods for Uncertainty Quantification in Computational Sciences". Travel support from The Institute of Mathematics and its Applications (Small Grant Scheme) to attend the conference is gratefully acknowledged.
  • Paper published: together with Serge Nicaise we studied convergence rates of the h-version of the boundary element method (BEM) on graded meshes for the electric field integral equation on polyhedral surfaces. We have proved that, even though quasi-optimal convergence of the method holds under a restriction on the strength of mesh grading, the h-BEM on sufficiently graded meshes still regains an optimal convergence rate.
    Link to the paper       Download the preprint
  • 25 February, 2016: Sergey Dolgov (University of Bath) visited us and gave a talk at the Optimisation & Numerical Analysis Seminar.
  • 22 February, 2016: Angela Mihai (Cardiff University) visited us and gave a talk at the Applied Mathematics Seminar.
  • 15 February, 2016: Tony Shardlow (University of Bath) visited us and gave a talk at the Applied Mathematics Seminar.
  • 5-8 January, 2016: Dirk Praetorius (Vienna University of Technology, Austria) visited us and gave a talk at the joint Applied Mathematics and Optimisation & Numerical Analysis Seminar.
  • 5-6 January, 2016: the workshop "Adaptive algorithms for computational PDEs" was held at the University of Birmingham thanks to support by the London Mathematical Society and the School of Mathematics.