Outputs (4)

A parabolic level set reinitialisation method using a discontinuous Galerkin discretisation (2019)
Journal Article
Adams, T., McLeish, N., Giani, S., & Coombs, W. (2019). A parabolic level set reinitialisation method using a discontinuous Galerkin discretisation. Computers and Mathematics with Applications, 78(9), 2944-2960. https://doi.org/10.1016/j.camwa.2019.01.032

Level set reinitialisation is a part of the level set methodology which allows one to generate, at any point during level set evolution, a level set function which is a signed distance function to its own zero isocontour. Whilst not in general a requ... Read More about A parabolic level set reinitialisation method using a discontinuous Galerkin discretisation.

A high-order elliptic PDE based level set reinitialisation method using a discontinuous Galerkin discretisation (2018)
Journal Article
Adams, T., Giani, S., & Coombs, W. (2019). A high-order elliptic PDE based level set reinitialisation method using a discontinuous Galerkin discretisation. Journal of Computational Physics, 379, 373-391. https://doi.org/10.1016/j.jcp.2018.12.003

In this paper, an efficient, high-order accurate, level set reinitialisation method is proposed, based on the elliptic reinitialisation method (Basting and Kuzmin, 2013 [1]), which is discretised spatially using the discontinuous Galerkin (DG) symmet... Read More about A high-order elliptic PDE based level set reinitialisation method using a discontinuous Galerkin discretisation.

Level set based topology optimisation using high-order reinitialisation methods and the discontinuous Galerkin method (2017)
Presentation / Conference Contribution
Adams, T., Giani, S., & Coombs, W. (2017, April). Level set based topology optimisation using high-order reinitialisation methods and the discontinuous Galerkin method. Presented at 25th Conference on Computational Mechanics UKACM 2017., Birmingham, UK

This paper extends the work presented in [1], which presented a topology optimisation approach using the level set method (LSM) and the discontinuous Galerkin symmetric interior penalty (SIPG) method, by applying a SIPG discretisation to a number of... Read More about Level set based topology optimisation using high-order reinitialisation methods and the discontinuous Galerkin method.

Topology optimisation using level set methods and the discontinuous Galerkin method (2016)
Presentation / Conference Contribution
Adams, T., Giani, S., & Coombs, W. (2023, March). Topology optimisation using level set methods and the discontinuous Galerkin method. Presented at ACME - UK 2016 24th Conference of the Association for Computational Mechanics in Engineering., Cardiff, UK

This paper presents a topology optimisation approach that combines an adjoint-based sensitivity analysis [1] with level set methods (LSM) [2] for front propagation, and the discontinuous Galerkin (DG) symmetric interior penalty (SIP) method [3]. The... Read More about Topology optimisation using level set methods and the discontinuous Galerkin method.