# Dr Daniel Loghin BSc DPhil

## In 'Staff and Students'

Back to 'School of Mathematics'School of Mathematics

Associate Professor

## Contact details

- 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.