15 citations · 28 across the 16 of their papers we have counts for
18 papers
BDF2-type integrator for Landau-Lifshitz-Gilbert equation in micromagnetics: IMEX time-stepping and full effective field
Michele Aldé, Dirk Praetorius, Agus L. Soenjaya
We extend the BDF2-type finite-element integrator proposed in [M. Aldé, M. Feischl, D. Praetorius; BDF2-type integrator for Landau-Lifshitz-Gilbert equation in micromagnetics: unco…
Rate of convergence of a fully discrete structure-preserving midpoint scheme for the stochastic Landau--Lifshitz--Gilbert equation
Agus L. Soenjaya
The stochastic Landau--Lifshitz--Gilbert (sLLG) equation is a strongly nonlinear stochastic PDE with a non-convex pointwise constraint arising in the theory of micromagnetics. We a…
Stochastic resistive Hall--MHD with current fluctuations: martingale weak solutions via a convergent structure-preserving finite element method
Agus L. Soenjaya
We study the stochastic resistive Hall--magnetohydrodynamic (Hall--MHD) system on bounded convex polyhedral domains, subject to nonlinear perfectly conducting boundary conditions.…
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
Agus L. Soenjaya
The Landau--Lifshitz--Gilbert (LLG) equation is a fundamental model in micromagnetics for the magnetisation dynamics of ferromagnets at temperatures well below the Curie temperatur…
Error analysis of a divergence-preserving mixed finite element scheme for the incompressible Hall--magnetohydrodynamic equations
Beniamin Goldys, Agus L. Soenjaya, Thanh Tran
The incompressible Hall-magnetohydrodynamics (Hall--MHD) system presents substantial analytical and computational challenges due to its stiff, highly nonlinear Hall term and the st…
The Landau--Lifshitz--Bloch equation with spin diffusion: Global strong solution and finite element approximation
Agus L. Soenjaya
The spin-diffusion Landau--Lifshitz--Bloch (SDLLB) system is a nonlinearly coupled system of quasilinear vector-valued PDEs which models the interaction between spin-polarised curr…
Error analysis of scalar auxiliary variable finite element methods for the Landau--Lifshitz--Bloch equation
Agus L. Soenjaya
The Landau--Lifshitz--Bloch (LLB) equation is a well-established micromagnetic model for describing magnetisation dynamics in ferromagnets at elevated temperatures. In this paper,…
Strong convergence of finite element schemes for the stochastic Landau--Lifshitz--Bloch equation
Agus L. Soenjaya
The dynamics of magnetisation in a bounded ferromagnet in () at high temperatures can be described by the stochastic Landau--Lifshitz--Bloch (sLLB) equation,…
Strong pathwise solutions for a class of stochastic thermo-magneto-hydrodynamic-type systems with multiplicative noise
Agus L. Soenjaya, Thanh Tran
We establish the existence and uniqueness of strong solutions, in both the PDE and probabilistic sense, for a broad class of nonlinear stochastic partial differential equations (SP…
Error analysis of a fully discrete structure-preserving finite element scheme for a diffuse-interface model of tumour growth
Agus L. Soenjaya, Ping Lin, Thanh Tran
We develop a linear fully discrete structure-preserving finite element method for a diffuse-interface model of tumour growth. The system couples a Cahn--Hilliard type equation with…
A mixed finite element method for a class of fourth-order stochastic evolution equations with multiplicative noise
Beniamin Goldys, Agus L. Soenjaya, Thanh Tran
We develop a fully discrete, semi-implicit mixed finite element method for approximating solutions to a class of fourth-order stochastic partial differential equations (SPDEs) with…
Numerical analysis of the Landau--Lifshitz--Bloch equation with spin-torques
Agus L. Soenjaya
The current-induced magnetisation dynamics in a ferromagnet at elevated temperatures can be described by the Landau--Lifshitz--Bloch (LLB) equation with spin-torque terms. In this…
Global attractor and robust exponential attractors for some classes of fourth-order nonlinear evolution equations
Beniamin Goldys, Agus L. Soenjaya, Thanh Tran
We study the long-time behaviour of solutions to some classes of fourth-order nonlinear PDEs with non-monotone nonlinearities, which include the Landau--Lifshitz--Baryakhtar (LLBar…
Mixed finite element methods for the Landau--Lifshitz--Baryakhtar and the regularised Landau--Lifshitz--Bloch equations in micromagnetics
Agus L. Soenjaya
The Landau--Lifshitz--Baryakhtar (LLBar) and the Landau--Lifshitz--Bloch (LLBloch) equations are nonlinear vector-valued PDEs which arise in the theory of micromagnetics to describ…
The Landau--Lifshitz--Bloch equation on polytopal domains: Unique existence and finite element approximation
Kim-Ngan Le, Agus L. Soenjaya, Thanh Tran
The Landau--Lifshitz--Bloch equation (LLBE) describes the evolution of the magnetic spin field in ferromagnets at high temperatures. In this paper, we study the numerical approxima…
The stochastic Landau--Lifshitz--Baryakhtar equation: Global solution and invariant measure
Beniamin Goldys, Agus L. Soenjaya, Thanh Tran
The Landau--Lifshitz--Baryakhtar (LLBar) equation perturbed by both additive and multiplicative noises is a system of fourth order stochastic PDEs which models the evolution of mag…
Stable -conforming finite element methods for a class of nonlinear fourth-order evolution equations
Agus L. Soenjaya, Thanh Tran
We propose some finite element schemes to solve a class of fourth-order nonlinear PDEs, which include the vector-valued Landau--Lifshitz--Baryakhtar equation, the Swift--Hohenberg…
Global solutions of the Landau--Lifshitz--Baryakhtar equation
Agus L. Soenjaya, Thanh Tran
The Landau--Lifshitz--Baryakhtar (LLBar) equation is a generalisation of the Landau--Lifshitz--Gilbert and the Landau--Lifshitz--Bloch equations which takes into account contributi…