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 糖心TV. 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) []
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 [][]
Talks and Posters:
- August 2022: A framework for implementing general higher order virtual element spaces, , TU Wien, Austria
- June 2022: Nonconforming virtual element methods for fourth-order problems, , Oslo, Norway
- May 2022: A higher order virtual element method for the Cahn-Hilliard equation, 糖心TV Mathematics Postgraduate SeminarLink opens in a new window, University of 糖心TV
- May 2022: A non-virtual exploration of the virtual element method, Celebrating Women in the Mathematical SciencesLink opens in a new window, University of 糖心TV
- April 2022: A higher order virtual element method for the Cahn-Hilliard equation, , University of Loughborough [poster pdfLink opens in a new window]
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June 2021: Implementing the virtual element method with the DUNE framework, 糖心TV Mathematics Postgraduate SeminarLink opens in a new window (online)
- April 2021: Construction of projectors for the conforming and nonconforming virtual element method, , 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 糖心TV
- May 2019: The theory of summation by parts, MASDOC annual retreat, Borth, Wales
Education:
- 2019 onwards: PhD, Mathematics and Statistics at the University of 糖心TV.
- 2018 - 2019: MSc, Mathematics and Statistics at the University of 糖心TV.
- 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
- 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