Dr Daniel Loghin BSc DPhil

School of Mathematics
Associate Professor

Contact details

Telephone
+44 (0) 121 414 6189
Email
d.loghin@bham.ac.uk
View my research portal
Address
School of Mathematics
Watson Building
University of Birmingham
Edgbaston
Birmingham
B15 2TT
UK

Daniel Loghin is an Associate Professor at the School of Mathematics, specialising in numerical linear algebra, iterative methods for linear and non-linear systems, finite element methods, and computational fluid dynamics.

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 Associate Professor in Applied Mathematics.

Teaching

Semester 1

LI/LH Linear Algebra and Linear Programming

Semester 2

LH/LM Numerical Methods and Numerical Linear Algebra

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 optimisation
  • 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