Agus L. Soenjaya
Agus L. Soenjaya
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PhD candidate, Mathematics @ UNSW, Sydney
Researcher in Numerical Analysis & (S)PDEs
About Me
About Me
I am a PhD candidate in Mathematics at UNSW Sydney, supported by the Australian Government RTP Scholarship.
My research focuses on the numerical analysis of deterministic or stochastic Landau–Lifshitz–Bloch-type partial differential equations (PDEs) in micromagnetics, particularly at elevated temperatures or under random fluctuations. More recently, I have also been working on Cahn–Hilliard-type and Magnetohydrodynamics (MHD) equations. Since my work engages with the usual aspects of numerical analysis (stability, convergence, and structure preservation), it inevitably draws me into the theoretical depths of both PDEs and SPDEs.
As an Indonesian, I maintain a strong interest in advancing mathematical research in Indonesia. In parallel with my academic work, I currently manage smartIQ Education, a prominent test preparation centre serving high school and undergraduate students enrolled in international curricula in Indonesia. I also work as a casual tutor at UNSW, teaching a variety of first-year Mathematics courses.
Please feel free to reach out if you'd like to connect or discuss anything related to mathematics!
Education
Education
2023 - now
UNSW Sydney
Ph.D. candidate, Mathematics
Advisors: Prof. Thanh Tran & Prof. Beniamin Goldys
Supported by the Australian Government RTP Scholarship
2016
UCLA
M.A., Computational and Applied Mathematics
2015
University of Illinois Urbana-Champaign
M.S., Mathematics
2013
National University of Singapore
B.Sc. (Hons., 1st class), Mathematics and Physics
Work experience
Work experience
2023 - now
UNSW Sydney
Tutor & Research Assistant
2018 - 2023
Petra Christian University
Adjunct Lecturer
2015 - 2016
UCLA
Graduate Teaching Associate
2013
The Australian National University
Summer Research Scholar
Publications
(Click on the underlined link to access the paper)Publications
Strong convergence of finite element schemes for the stochastic Landau–Lifshitz–Bloch equation. IMA J. Numerical Analysis (2026, to appear). arXiv:2602.18021.
Numerical analysis of the Landau–Lifshitz–Bloch equation with spin-torques. ESAIM: Mathematical Modelling and Numerical Analysis (2026, to appear). arXiv:2502.20098.
(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 (2026, to appear). arXiv:2505.04866.
(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, to appear). arXiv:2406.05808.
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 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).
(joint 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)Preprints
Error analysis of a structure-preserving mixed finite element scheme for the incompressible Hall-MHD equation. Preprint (2026).
Error analysis of scalar auxiliary variable finite element methods for the Landau--Lifshitz--Bloch equation. arXiv:2603.02463 (2026).
(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, arXiv:2509.14486 (2025).
(with T. Tran) Strong solutions for a class of stochastic thermo-magneto-hydrodynamic-type systems with multiplicative noise, arXiv:2509.14490 (2025).
Invited and Contributed Talks
Invited and 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).
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).
Theoretical and numerical analysis of the Landau–Lifshitz–Baryakhtar equation in a bounded domain. AustMS Conference 2022, UNSW Sydney (December 2022).
Teaching
Teaching
2023 - now
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
2015 - 2016
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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