I am currently a PhD student at University College London (UCL) under the supervision of Timo Betcke and Erik Burman. My PhD work has focussed on the use of boundary element methods for wave scattering problems, specifically Maxwell and Helmholtz. Much of this work is summarised in my 2017 paper.
Alongside my PhD, I have become heavily involved in developing Bempp, an open-source boundary element method library.
A full list of my papers, conference talks, awards and nominations can be found below.
A. Kleanthous, T. Betcke, D. Hewett, M. W. Scroggs & A. Baran. Well-conditioned boundary integral equations for multiple scattering by absorbing dielectric particles, submitted to Journal of Quantitative Spectroscopy and Radiative Transfer. [arΧiv]
T. Betcke, M. W. Scroggs & W. Śmigaj. Software frameworks for integral equations in electromagnetic scattering based on Calderón identities, submitted to ACM Transactions on Mathematical Software. [arΧiv]
T. Betcke, E. Burman, & M. W. Scroggs. Boundary element methods with weakly imposed boundary conditions, submitted to SIAM Journal on Scientific Computing. [arΧiv]
Solving integral equations for electromagnetic scattering using Bempp (poster) (PDESoft 2018)
Weak imposition of boundary conditions using a penalty method (IABEM 2018)
M. W. Scroggs, T. Betcke, E. Burman, W. Śmigaj & E. van 't Wout. Software frameworks for integral equations in electromagnetic scattering based on Calderón identities, Computers & Mathematics with Applications 74(11) 2897–2914. [doi.org/10.1016/j.camwa.2017.07.049]
Awards & nominations
Solving integral equations for electromagnetic scattering using BEM++ (Strathclyde 27th Biennial Numerical Analysis Conference)
Solving integral equations for electromagnetic scattering using BEM++ (Söllerhaus Workshop on Fast Boundary Element Methods in Industrial Applications)
Awards & nominations
Solving Maxwell problems with BEM++ (Joint DMV and GAMM Annual Meeting)
Coupling the finite and boundary element methods with FEniCS and BEM++ (BAMC 2016)
FEM-BEM coupling, Maxwell's equations, and BEM++ (FEniCS'16)
Coupling the finite and boundary element methods with FEniCS and BEM++ (PDESoft 2016)
In 2015-16 and 2016-17, I taught MATH6103: Differential and Integral Calculus. You can find my notes for this course at mscroggs.co.uk/6103.
Solving FEM/BEM coupled problems with FEniCS and BEM++ (Strathclyde 26th Biennial Numerical Analysis Conference)
© Matthew Scroggs 2018