2 citations · 3 across the 3 of their papers we have counts for
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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…
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…
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…
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…
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…