Dr Daniel Loghin BSc DPhil

Dr Daniel Loghin

School of Mathematics
Lecturer

Contact details

Address
School of Mathematics
Watson Building
University of Birmingham
Edgbaston
Birmingham
B15 2TT
UK

School web page: web.mat.bham.ac.uk/loghin/

Qualifications

  • DPhil in Mathematics, Oxford, 1999
  • BSc (Hons) in Mathematics, Bristol, 1996

Biography

After finishing his undergraduate studies in mathematics at the University of Bristol in 1996, Daniel Loghin went on to Oxford to carry out research in computational methods for partial differential equations as part of a 4-year DPhil programme sponsored by the EPSRC and British Energy plc. He spent a further three years in Oxford funded by an EPSRC grant to work on a research programme on fast solvers for CFD. Daniel later joined the Parallel Algorithms Group at the European Research Centre in Scientific Computing (CERFACS) in Toulouse where he continued work on a range of research themes in numerical analysis and scientific computing.

In 2006 Daniel Loghin joined the School of Mathematics at the University of Birmingham where he is currently Lecturer in Applied Mathematics.

Teaching

Semester 2

LH/LM Numerical Methods and Numerical Linear Algebra

LH Engineering Mathematics 3 (School of Engineering)

Research

Research Themes

Numerical Analysis:

  • Computational methods for partial differential equations
  • Iterative methods for large systems of equations
  • Domain decomposition methods
  • Finite element methods

Application areas

  • CFD
  • Financial Engineering
  • Topology optimization
  • Fuel cells
  • Bio-fluid modelling

Publications

Arioli, M., Loghin, D. (2009), Discrete interpolation norms with applications, SIAM J. Numer. Anal., 47(4):2924–2951.

Georgoulis, E.H., Loghin, D. (2008), Norm preconditioners for discontinuous Galerkin finite element methods, SIAM J. Sci. Comput., 30(5): 2447–2465.

Arioli, M., Loghin, D (2007), Stopping criteria for mixed finite element problems. Electron. Trans. Numer. Anal., 29:178–192.

Loghin, D., Ruiz, D., Touhami, A. (2006) Adaptive preconditioners for nonlinear systems of equations. ,J. Comput. Appl. Math. ,189(1-2): 362–374.

Arioli, M., Loghin, D., Wathen A.J. (2005), Stopping criteria in finite element problems, Numer Math., 99(3):381–410.

Loghin, D., Wathen A.J. (2004), Analysis of preconditioners for saddle-point problems, SIAM Journal on Scientific Computing, 25(6): 2029–2049.

Loghin, D., Wathen, A.J. (2003), Schur complement preconditioning for elliptic systems of partial differential equations, Numerical Linear Algebra with Applications, 10:423–443.

View all publications in research portal