Agus L. Soenjaya

Ph.D. (Applied Mathematics), UNSW Sydney

Postdoctoral Researcher @ NumPDEs group
Institute of Analysis and Scientific Computing
TU Wien, Austria

About Me

I'm Agus, originally from Indonesia. I am currently a postdoctoral researcher in the Numerical Analysis of PDEs (NumPDEs) group led by Prof. Dirk Praetorius at the Institute of Analysis and Scientific Computing, TU Wien. I completed my PhD in Applied Mathematics at UNSW Sydney, under the supervision of Prof. Thanh Tran and Prof. Ben Goldys.

My research lies at the intersection of numerical analysis and the theory of nonlinear PDEs and stochastic PDEs (SPDEs). I am particularly interested in developing and analysing structure-preserving finite element methods for deterministic and stochastic micromagnetics, as well as coupled multiphysics systems arising in materials science, fluid dynamics, and mathematical biology.

I am also working as a tutor for various undergraduate mathematics courses. In parallel with my academic work, I currently manage smartIQ Education, a prominent test preparation centre serving Indonesian high school students enrolled in international curricula.

Please feel free to reach out if you'd like to connect or discuss anything related to mathematics!

Education

UNSW Sydney

Ph.D., Mathematics (Sept 2022 - May 2026)

Thesis: Mathematical and numerical analysis of deterministic and stochastic micromagnetic models at elevated temperatures

Advisors: Prof. Thanh Tran & Prof. Beniamin Goldys

Supported by the Australian Government RTP Scholarship

UCLA

M.A., Computational and Applied Mathematics

University of Illinois Urbana-Champaign

M.S., Mathematics

National University of Singapore

B.Sc. (Hons., 1st class), Mathematics and Physics

Work experience

Jul 2026 - now

Institute of Analysis and Scientific Computing, Technische Universität Wien

Postdoctoral Researcher

Sept 2023 - Jun 2026

UNSW Sydney

Tutor & Research Assistant

2019 - 2022

Petra Christian University

Adjunct Lecturer

2019 - 2022

Merlion School (SIS School) Surabaya

A-Level Mathematics Teacher

Publications

(Click on the underlined 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, 237-259 (2026).
Numerical analysis of the Landau–Lifshitz–Bloch equation with spin-torques. ESAIM: Mathematical Modelling and Numerical Analysis, 60, no. 3 (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)
(with K. Le and T. Tran) The Landau–Lifshitz–Bloch equation on polytopal domains: Unique existence and finite element approximation. IMA J. Numerical Analysis (2026), drag002.
The Landau–Lifshitz–Bloch equation with spin diffusion: Global strong solution and finite element approximation. Numerical Methods for Partial Differential Equations, 42, no. 1 (2026): e70070.
(with T. Tran) Stable C^1-conforming finite element methods for a class of nonlinear fourth-order evolution equations. Computational and Applied Mathematics, 45, 426 (2026).
(with B. Goldys and T. Tran) The stochastic Landau–Lifshitz–Baryakhtar equation: Global solution and invariant measure. J. Mathematical Analysis and Applications, 556 (2026), 130235.
(with B. Goldys and T. Tran) Global attractor and robust exponential attractors for some classes of fourth-order nonlinear evolution equations. Nonlinear Analysis: Real World Applications, 87 (2026), 104420.
Energy-stable finite element approximation of the Landau-Lifshitz-Bloch equation below the Curie temperature. J. Scientific Computing, 104 (50), 1-38 (2025).
Mixed finite element methods for the Landau–Lifshitz–Baryakhtar and the regularised Landau–Lifshitz–Bloch equations in micromagnetics. J. Scientific Computing 103 (2), 1-63 (2025).
(with T. Tran) Global solutions of the Landau–Lifshitz–Baryakhtar equation. J. Differential Equations 371, 191-230 (2023).

Preprints

(Click on the underlined link to access the paper whenever available)

(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).

Talks & Presentations

Invited Talks

A structure-preserving finite element scheme for the incompressible Hall–MHD equations. Minisymposium on advances in structure-preserving numerical methods for nonlinear PDEs, 17th World Congress in Computational Mechanics, Munich (July 2026).
Finite element approximations of the stochastic Landau–Lifshitz–Bloch equation in high-temperature micromagnetics. Minisymposium on numerical analysis of nonlinear PDEs in materials science, Computational Methods in Applied Mathematics, TU Wien (July 2026).
Numerical analysis of micromagnetic models at elevated temperatures. Plenary speaker at UNSW Mathematics Postgraduate Research Conference, UNSW Sydney (August 2024).
Finite element methods for certain micromagnetic models at elevated temperatures. School of Mathematics, Monash University (April 2024).
Numerical analysis of micromagnetic models at elevated temperatures. WONAPDE Conference 2024, Universidad de Concepción (January 2024).

Contributed Talks

Finite element approximations of stochastic magnetisation dynamics at elevated temperatures. AustMS Conference 2025, La Trobe University (December 2025).
An energy-stable and mass-preserving linear finite element method for a diffuse-interface model of tumour growth. AustMS Conference 2025, La Trobe University (December 2025).
Finite element approximations of a micromagnetic model at elevated temperatures. The 30th Biennial Numerical Analysis Conference, University of Strathclyde (June 2025).
Finite element method for a micromagnetic model at elevated temperatures. Joint Meeting of the NZMS, AMS, and AustMS, University of Auckland (December 2024).
Finite element method for a micromagnetic model at elevated temperatures. Computational Techniques and Applications Conference (CTAC) 2024, Monash University (November 2024).

Theoretical and numerical analysis of the Landau–Lifshitz–Baryakhtar equation in a bounded domain. AustMS Conference 2022, UNSW Sydney (December 2022).

Teaching

UNSW Sydney

Term 1, 2023: Tutor for MATH1131 (Mathematics 1A)
Term 2, 2023: Tutor for MATH1251 (Mathematics for Actuarial Studies and Finance 1B)
Term 3, 2023: Tutor in the Mathematics drop-in centre
Term 1, 2024: Tutor for MATH1151 (Mathematics for Actuarial Studies and Finance 1A) and MATH1131
Term 2, 2024: Tutor for MATH1251 (Mathematics for Actuarial Studies and Finance 1B)
Term 1, 2025: Tutor for MATH1151 (Mathematics for Actuarial Studies and Finance 1A)
Term 3, 2025: Tutor for MATH2089 (Numerical Methods and Statistics)
Term 1, 2026: Tutor for MATH2089 (Numerical Methods and Statistics), MATH1131, and MATH1151
Term 2, 2026: Tutor for MATH1231 (Mathematics 1B), MATH1241 (Higher Mathematics 1B), and MATH1251

UCLA

Tutor for MATH 31A (Differential and Integral Calculus)
Tutor for MATH 31B (Integration and Infinite Series)
Tutor for MATH 115A (Linear Algebra)
Tutor for MATH 135 (Ordinary Differential Equations)

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