Mr Agus Soenjaya
Casual Academic
Science
School of Mathematics & Statistics
I recently completed my PhD in the Department of Applied Mathematics at UNSW, supervised by Prof. Thanh Tran (UNSW) and Prof. Ben Goldys (Univ. Sydney).
My research focuses on the analysis and numerical approximation of nonlinear PDEs and stochastic PDEs, with particular interests in finite element methods, structure-preserving schemes, and mathematical models arising in micromagnetics and fluid dynamics. More recently, I have been working on structure-preserving numerical methods for coupled multiphysics problems, including micromagnetic models (Landau-Lifshitz-type equations), diffuse-interface tumour growth models (Cahn-Hilliard-type system) and magnetohydrodynamic (MHD) equations in plasma physics. Nonlinearity, coupling, and randomness are inherent parts of my work.
I will soon begin a postdoctoral position at TU Wien, Austria!
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 systems (modelling phase separation in materials and tumour growth), the Landau–Lifshitz–Gilbert equation (describing magnetisation dynamics at very low temperatures), 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).