About me

Hi! I'm Agus, a postdoctoral researcher at the Institute of Analysis and Scientific Computing, TU Wien in NumPDEs group of Prof. Dirk Praetorius. I completed my PhD in Applied Mathematics at UNSW Sydney, supervised by Prof. Thanh Tran (UNSW) and Prof. Ben Goldys (University of Sydney).

My PhD research studies well-posedness, long-time behaviour, and numerical approximations of various deterministic and stochastic PDEs arising in micromagnetics at elevated temperatures. My PhD thesis can be found here.

Research interests

My research focuses on the mathematical and numerical analysis of nonlinear partial differential equations (PDEs) and stochastic PDEs (SPDEs) arising in physics/biology. In particular, I develop and analyse structure-preserving and physics-consistent finite element methods, with emphasis on provable stability, convergence, and error estimates, while respecting the geometric and energetic properties of the underlying models. I am also interested in questions of well-posedness and long-time behaviour.

Much of my work concerns deterministic and stochastic micromagnetics, including Landau–Lifshitz-type equations, finite-temperature magnetisation dynamics, and coupled spin-transport models. My other research interests include geometrically constrained (S)PDEs as well as nonlinear problems arising in phase-field models, magnetohydrodynamics (MHD), and chemotaxis in biological systems.

Recent publications

Some recent publications are listed here. A complete list can be found under the 'CV' tab. Click on the link to access the paper.

(with B. Goldys and T. Tran) Error analysis of a divergence-preserving mixed finite element scheme for the incompressible Hall-magnetohydrodynamic equation. SIAM J. Scientific Computing (2026, to appear). arXiv:2605.01764.
(with P. Lin and T. Tran) Error analysis of a fully discrete structure-preserving finite element scheme for a diffuse-interface model of tumour growth. IMA J. Numerical Analysis (2026, to appear). arXiv:2509.14486.
Strong convergence of finite element schemes for the stochastic Landau–Lifshitz–Bloch equation. IMA J. Numerical Analysis (2026, to appear). arXiv:2602.18021.
Error analysis of scalar auxiliary variable finite element methods for the Landau–Lifshitz–Bloch equation. Computers and Mathematics with Applications, 217 (2026).
(with B. Goldys and T. Tran) A mixed finite element method for a class of fourth-order stochastic evolution equations with multiplicative noise. ESAIM: Mathematical Modelling and Numerical Analysis, 60, no. 2 (2026).

Recent preprints

Some recent preprints are listed here. A complete list can be found under the 'CV' tab. Click on the link to access the preprint (or send me an e-mail if no link is available yet!).

Beyond the reduced Landau--Lifshitz--Bloch equation: singular potential, global well-posedness, and micromagnetic limits. Preprint (2026).
(with M. Aldé and D. Praetorius) BDF2-type integrator for Landau-Lifshitz-Gilbert equation in micromagnetics: IMEX time-stepping and full effective field. arXiv:2610.10291 (2026).
Rate of convergence of a fully discrete structure-preserving midpoint scheme for the stochastic Landau--Lifshitz--Gilbert equation. arXiv:2609.06459 (2026).
Stochastic resistive Hall--MHD with current fluctuations: martingale weak solutions via a convergent structure-preserving finite element method. arXiv:2608.13407 (2026).
A priori error analysis of a mass-lumped midpoint finite element method with a structure-preserving solver for the Landau–Lifshitz–Gilbert equation with Dzyaloshinskii–Moriya interaction. arXiv:2606.16142 (2026).

Work in progress

Some work in progress - these will be completed soon!

Stabilized tangent-plane finite element scheme for $L^2$-constrained stochastic nonlinear heat flows. (2026).
(with C. Jiao and T. Tran) Thin-film limits of stochastic Landau--Lifshitz equations: harmonic map heat flow and inertial dynamics (2026).

NEWS:

8 December 2026: I'm invited to give a talk at the Recent advances in numerical discretisation of PDEs and Numerical methods for stochastic ordinary and partial differential equations special sessions of CTAC2026 at the University of Sydney.
23 July 2026: I'm invited to present at the minisymposium on Numerical analysis of nonlinear PDEs in materials science of CMAM 2026 at TU Wien, Austria. My talk is on Finite element approximations of stochastic micromagnetic models at high temperatures.
22 July 2026: I'm invited to present at the minisymposium on Advances on Structure-Preserving Numerical Methods for Nonlinear PDEs of WCCM ECCOMAS 2026 in Munich, Germany. My talk is on Structure-preserving mixed finite element method for the Hall-MHD equations.
20 May 2026: My PhD degree is officially approved by the faculty! My PhD thesis can be found here.

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