From the 5 of 74 papers with an AI index.
128 citations
- The University of SydneyAU19 papers
- Australian National UniversityAU8 papers
- Macquarie UniversityAU7 papers
- ARC Centre of Excellence for All-sky AstrophysicsAU6 papers
- Monash UniversityAU6 papers
- RMIT UniversityAU4 papers
- University of CambridgeGB4 papers
- ASTRO-3DAU3 papers
- Centre for Quantum Computation and Communication TechnologyAU3 papers
- Space Telescope Science InstituteUS3 papers
- The University of MelbourneAU3 papers
- University of LjubljanaSI3 papers
4 papers · 1 filter
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…
The star discrepancy of a union of randomly digitally shifted Korobov polynomial lattice point sets depends polynomially on the dimension
Josef Dick, Friedrich Pillichshammer
The star discrepancy is a quantitative measure of the uniformity of a point set in the unit cube. A central quantity of interest is the inverse of the star discrepancy, $N(\varepsi…
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…