4 citations · 8 across the 10 of their papers we have counts for
11 papers
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…
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…
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…
Well-Posedness and Finite Element Approximation for the Landau-Lifshitz-Gilbert Equation with Spin-Torques
Noah Vinod, Thanh Tran
Spin currents act on ferromagnets by exerting a torque on the magnetisation. This torque is modelled by appending additional terms to the Landau-Lifshitz-Gilbert equation motivatin…
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…
Reconstruction of the electric field of the Helmholtz equation in 3D
Huy Tuan Nguyen, Vo Anh Khoa, Mach Nguyet Minh +1
In this paper, we rigorously investigate the truncation method for the Cauchy problem of Helmholtz equations which is widely used to model propagation phenomena in physical applica…
On an inverse problem in the parabolic equation arising from groundwater pollution problem
Nguyen Huy Tuan, Nguyen Van Thinh, Vo Anh Khoa +1
In this paper, we consider an inverse problem to determine a source term in a parabolic equation, where the data are obtained at a certain time. In general, this problem is ill-pos…