Alice Hodson

I am now a Postdoc Researcher in the Department of Numerical Mathematics, Faculty of Mathematics and Physics at Charles University, Czech Republic. My current email address is: alice dot hodson at matfyz dot cuni dot cz

This webpage will no longer be kept up to date.

Background:

I am a final year PhD student on the MASDOC programme at the University of Warwick. I am currently researching the virtual element method supervised by Andreas Dedner. I completed an MMath in Mathematics at the University of Bath in 2018.

Research Interests:

My research interests are in applied functional analysis. In particular, I am interested in the discretisation of higher order partial differential equations. I am currently studying the numerical analysis of fourth order problems via the virtual element method.

Previous projects include:

Construction of projectors for the conforming and non-conforming virtual element method for polyharmonic problems (MSc dissertation).
Summation by parts (joint work for MASDOC research study groups).
Evolution semigroups and the conjugation problem (MMath dissertation).

Publications and Preprints:

A. Dedner, A. Hodson. A higher order nonconforming virtual element method for the Cahn-Hilliard equation. arXiv preprint: arXiv:2111.11408 (2021) [arxivLink opens in a new window]

A. Dedner, A. Hodson. Robust nonconforming virtual element methods for general fourth-order problems with varying coefficients. IMA Journal of Numerical Analysis. 2022 Apr;42(2):1364-99 [arxivLink opens in a new window][journalLink opens in a new window]

Talks and Posters:

August 2022: A framework for implementing general higher order virtual element spaces, Computational Methods in Applied Mathematics (CMAM) 2022Link opens in a new window, TU Wien, Austria
June 2022: Nonconforming virtual element methods for fourth-order problems, ECCOMAS 2022Link opens in a new window, Oslo, Norway
May 2022: A higher order virtual element method for the Cahn-Hilliard equation, Warwick Mathematics Postgraduate SeminarLink opens in a new window, University of Warwick
May 2022: A non-virtual exploration of the virtual element method, Celebrating Women in the Mathematical SciencesLink opens in a new window, University of Warwick

April 2022: A higher order virtual element method for the Cahn-Hilliard equation, BAMC 2022Link opens in a new window, University of Loughborough [poster pdfLink opens in a new window]
June 2021: Implementing the virtual element method with the DUNE framework, Warwick Mathematics Postgraduate SeminarLink opens in a new window (online)
April 2021: Construction of projectors for the conforming and nonconforming virtual element method, BMC-BAMC 2021Link opens in a new window, University of Glasgow (online)
December 2020: Nonconforming virtual element methods for fourth order problems, Joint CDT Conference, University of Cambridge
November 2020: The fully nonconforming virtual element method for fourth order perturbation problems, SPAAM seminar series,Link opens in a new window University of Warwick
May 2019: The theory of summation by parts, MASDOC annual retreat, Borth, Wales

Education:

2019 onwards: PhD, Mathematics and Statistics at the University of Warwick.
2018 - 2019: MSc, Mathematics and Statistics at the University of Warwick.
2013 - 2018: MMath, Mathematics at the University of Bath.

Teaching Responsibilities:

Term 2 2020/21:
- Teaching assistant for MA3H0 Numerical Analysis and PDEsLink opens in a new window
Term 2 2019/20:
- Teaching assistant for MA261 Differential Equations: Modelling and NumericsLink opens in a new window
Term 1 2019/20:
- Teaching assistant for MA131 Analysis 1Link opens in a new window

Other Responsibilities:

Joint organiser of Warwick Women in Maths 2021 Link opens in a new window
Secretary of the SGSLC (Staff-Graduate Student Liaison Committee)
Chair of the MASDOC SSLC
PG student rep. for the Mathematics department's Athena Swan Committee

Email: alice-rachel.hodson@warwick.ac.uk