A robust and efficient adaptive multigrid solver for the optimal control of phase field formulations of geometric evolution laws

FW Yang, C Venkataraman, V Styles… - Communications in …, 2017 - cambridge.org
We propose and investigate a novel solution strategy to efficiently and accurately compute
approximate solutions to semilinear optimal control problems, focusing on the optimal …

Force estimation during cell migration using mathematical modelling

F Yang, C Venkataraman, S Gu, V Styles… - Journal of …, 2022 - mdpi.com
Cell migration is essential for physiological, pathological and biomedical processes such as,
in embryogenesis, wound healing, immune response, cancer metastasis, tumour invasion …

Parallel implementation of an adaptive, multigrid solver for the implicit solution of nonlinear parabolic systems, with application to a multi-phase-field model for tumour …

FW Yang, CE Goodyer, ME Hubbard… - Civil Comp …, 2015 - eprints.whiterose.ac.uk
The first half of the paper provides an overview of a new engineering software tool that is
designed for the efficient solution of problems that may be modeled as systems of linear and …

Multigrid solution methods for nonlinear time-dependent systems

FW Yang - 2014 - etheses.whiterose.ac.uk
An efficient, accurate and reliable numerical solver is essential for solving complex
mathematical models and obtaining their computational approximations. The solver …

[PDF][PDF] A parallel and adaptive multigrid solver for the solutions of the optimal control of geometric evolution laws in two and three dimensions

F Yang, C Venkataraman, V Styles… - … on computational and …, 2015 - researchgate.net
We present a problem concerning the optimal control of geometric evolution laws. This is a
minimisation problem that aims to find a control η which minimises the objective functional J …

[PDF][PDF] Paper 39 Parallel Implementation of an Adaptive, Multigrid Solver for the Implicit Solution of Nonlinear Parabolic Systems, with Application to a Multi-Phase …

FW Yang, CE Goodyer, ME Hubbard, PK Jimack - 2015 - researchgate.net
The first half of the paper provides an overview of a new engineering software tool that is
designed for the efficient solution of problems that may be modeled as systems of linear and …