Second year D.Phil. (2019-2020) in EPSRC Centre for Doctoral Training in Partial Differential Equations
Supervisor: Patrick E. Farrell
+44 1865 615113
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Two Kinds of New Energy-Preserving Schemes for the Coupled Nonlinear Schrodinger Equations
COMMUNICATIONS IN COMPUTATIONAL PHYSICS issue 4 volume 25 page 1127-1143 (April 2019) Full text available
Nonlinear bifurcation analysis of stiffener profiles via deflation
Thin Walled Structures
- Numerical solutions to PDEs.
- Bifurcation Analysis of nonlinear PDEs
- Liquid crystal problems (Oseen--Frank models)
Currently, I am working on developing robust and efficient solvers for a nonlinear constrained optimization problem deriving from Liquid Crystals with preconditioning techniques. During such processes, I am looking for contructing a robust multigrid algorithm and using augmented Lagrangian methods as potential effective preconditioners.
Michaelmas Term 2019:
B6.1 Numerical Solution of Differential Equations I
Hilary Term 2020:
B6.2 Numerical Solution of Differential Equations II
Major / recent publications:
Nonlinear Bifurcation Analysis of Stiffener Profiles via Deflation Techniques
J. Xia; P. E. Farrell; S. G. P. Saullo. 2020, Thin-Walled Structures.