Agus Soenjaya

Publications

1. (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.

2. (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.

3. Strong convergence of finite element schemes for the stochastic Landau–Lifshitz–Bloch equation. IMA J. Numerical Analysis (2026, to appear). arXiv:2602.18021.

4. Error analysis of scalar auxiliary variable finite element methods for the Landau–Lifshitz–Bloch equation. Computers and Mathematics with Applications, 217, 237-259 (2026).

5. Numerical analysis of the Landau–Lifshitz–Bloch equation with spin-torques. ESAIM: Mathematical Modelling and Numerical Analysis, 60, no. 3 (2026)

6. (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)

7. (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.

8. 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.

9. (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).

10. (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.

11. (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.

12. Energy-stable finite element approximation of the Landau-Lifshitz-Bloch equation below the Curie temperature. J. Scientific Computing, 104 (50), 1-38 (2025).

13. 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).

14. (with T. Tran) Global solutions of the Landau–Lifshitz–Baryakhtar equation. J. Differential Equations 371, 191-230 (2023).

Talks & Presentations

Invited Talks

1. 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).

2. 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).

3. Numerical analysis of micromagnetic models at elevated temperatures. Plenary speaker at UNSW Mathematics Postgraduate Research Conference, UNSW Sydney (August 2024).

4. Finite element methods for certain micromagnetic models at elevated temperatures. School of Mathematics, Monash University (April 2024).

5. Numerical analysis of micromagnetic models at elevated temperatures. WONAPDE Conference 2024, Universidad de Concepción (January 2024).

Contributed Talks

1. Finite element approximations of stochastic magnetisation dynamics at elevated temperatures. AustMS Conference 2025, La Trobe University (December 2025).

2. 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).

3. Finite element approximations of a micromagnetic model at elevated temperatures. The 30th Biennial Numerical Analysis Conference, University of Strathclyde (June 2025).

4. Finite element method for a micromagnetic model at elevated temperatures. Joint Meeting of the NZMS, AMS, and AustMS, University of Auckland (December 2024).

5. Finite element method for a micromagnetic model at elevated temperatures. Computational Techniques and Applications Conference (CTAC) 2024, Monash University (November 2024).

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