# Dr Robert Simpson

**Lecturer**(Infrastructure and Environment)

**telephone**: 01413305200

**email**: Robert.Simpson.2@glasgow.ac.uk

## Research interests

## Biography

Robert Simpson obtained his PhD from Durham University in 2010 under the supervision of Jon Trevelyan. His thesis investigated the effects of applying enrichment schemes to the boundary element method for accurate simulation of fracture and fatigue. He subsequently took a position at Cardiff University as a research associate under an EPSRC funded grant to develop novel numerical methods for semiconductor device simulation in collaboration with the device modelling group at the University of Glasgow. In 2011 Robert continued his employment at Cardiff University as a lecturer in the school of engineering, civil and environmental engineering department. In 2013 Robert was appointed as a lecturer in the school of engineering at the University of Glasgow. He is a member of the Infrastructure and Environment research division with teaching duties falling under the civil engineering programmes.

## Research Interests

Robert's research interests are focussed on the development of novel numerical methods for engineering applications. He has worked mainly on boundary element methods for applications including fracture, elasticity, acoustics and potential problems. He has experience of domain discretisation technologies such as the finite element method and finite difference method and their application to semiconductor device simulation.

Recently, Robert's particular research focus has been on isogeometric boundary element methods which aim to merge Computer Aided Design (CAD) and analysis technologies for efficient engineering design. He has applied the method using NURBS and T-spline discretisations to elasticity and acoustic simulations and is pursuing acceleration methods for computing large 3D problems in reasonable time frames.

## Expertise

Robert's expertise lies in numerical methods applied to engineering applications. He has particular expertise in boundary element methods and their coupling with CAD discretisation technologies (NURBS,T-splines). He has expertise in applying the semiconductor drift-diffusion model through the finite element and finite difference method for semiconductor device simulation. He is well-versed in C++ and Matlab and has experience in using the Trilinos, VTK and Boost C++ libraries for numerical computations.

## Selected publications

Scott, M.A., Simpson, R.N., Evans, J.A., Lipton, S., Bordas, S.P.A., Hughes, T.J.R. and Sederberg, T.W.
(2013)
Isogeometric boundary element analysis using unstructured T-splines.
*Computer Methods in Applied Mechanics and Engineering*, 254,
pp. 197-221.
(doi:10.1016/j.cma.2012.11.001)

Simpson, R.N., Bordas, S.P.A., Trevelyan, J. and Rabczuk, T.
(2012)
A two-dimensional isogeometric boundary element method for elastostatic analysis.
*Computer Methods in Applied Mechanics and Engineering*, 209-12,
pp. 87-100.
(doi:10.1016/j.cma.2011.08.008)

## Supervision

I am currently looking for a PhD candidate who will work on acceleration techniques for isogeometric boundary element methods for integrated design and analysis. See this page for more details.

## Teaching

Assist with:

Year 5 - Football Stadium Case Study (Stadium 5 ENG5273)

Year 1 - Civil Engineering 1 (ENG1061)