Mr Agus Soenjaya
Casual Academic
Science
School of Mathematics & Statistics
I am a PhD candidate in the Department of Applied Mathematics at UNSW, supervised by Prof. Thanh Tran (UNSW) and Prof. Ben Goldys (Univ. Sydney).
My primary research interests lie in the analysis and numerical approximations of nonlinear, time-dependent, deterministic and stochastic partial differential equations (PDEs and SPDEs) arising from multiphysics systems. Broadly speaking, my research concerns the well-posedness of nonlinear PDEs and SPDEs, alongside the design, analysis, and implementation of structure-preserving finite element methods (FEM) for solving such problems.
More information can be found in my website: https://sites.google.com/view/agussoenjaya
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My research focuses on developing and analysing stable and structure-preserving finite element methods: computational methods that not only approximate solutions to PDEs or SPDEs accurately but also respect the underlying physical laws, such as conservation of energy or mass. This allows simulations to remain faithful to the true behaviour of the system. Directly related to this, I am also interested in the question of strong well-posedness for various nonlinear PDEs and SPDEs.
Currently, I am particularly interested in the Cahn–Hilliard-type equations (modelling phase separation in materials and tumour growth), the Landau–Lifshitz–Bloch equation (describing magnetisation dynamics at high temperatures), and the magnetohydrodynamics (MHD) equations (governing interaction between plasmas and magnetic fields, possibly with various nonlinear effects).