Anh Tuan Dao

Anh Tuan Dao
Uppsala University | UU · Department of Information Technology

MSc in Applied Mathematics

About

10
Publications
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10
Citations
Introduction
My current research projects investigate numerical methods (FEMs, High-order Summation-By-Parts FDMs) for Partial Differential Equations. The main focus is to develop and analyze numerical stabilization methods for simulating compressible turbulent flow. The forthcoming results will be beneficial for the simulation of large scale supersonic turbulence such as solar winds or star formations.

Publications

Publications (10)
Chapter
Municipal solid waste (MSW) management issues emerged in many countries due to the steadily increasing population over the last decade, followed by the rising amount of solid waste generated. In most of the urban areas, current waste collection are already overloaded arising from the lack of facilities and insufficient resources. Mathematical optim...
Article
Full-text available
We analyse numerically the periodic problem and the initial boundary value problem of the Korteweg-de Vries equation and the Drindfeld-Sokolov-Wilson equation using the summation-by-parts simultaneous-approximation-term (SBP-SAT) method. Two sets of boundary conditions are derived for each equation of which stability is shown using the energy metho...
Article
We introduce a hybrid method to couple continuous Galerkin finite element methods and high-order finite difference methods in a nonconforming multiblock fashion. The aim is to optimize computational efficiency when complex geometries are present. The proposed coupling technique requires minimal changes in the existing schemes while maintaining stri...
Preprint
Full-text available
We show at the PDE level that the monolithic parabolic regularization of the equations of ideal magnetohydrodynamics (MHD) is compatible with all the generalized entropies, fulfills the minimum entropy principle, and preserves the positivity of density and internal energy. We then numerically investigate this regularization for the MHD equations us...
Preprint
Full-text available
We present a high order, robust, and stable shock-capturing technique for finite element approximations of ideal MHD. The method uses continuous Lagrange polynomials in space and explicit Runge-Kutta schemes in time. The shock-capturing term is based on the residual of MHD which tracks the shock and discontinuity positions, and adds a sufficient am...
Preprint
Full-text available
We introduce a hybrid method to couple continuous Galerkin finite element methods and high-order finite difference methods in a nonconforming multiblock fashion. The aim is to optimize computational efficiency when complex geometries are present. The proposed coupling technique requires minimal changes in the existing schemes while maintaining stri...
Preprint
In this article, we use the monotonic optimization approach to propose an outcome-space outer approximation by copolyblocks for solving strictly quasiconvex multiobjective programming problems and especially in the case that the objective functions are nonlinear fractional. After the algorithm is terminated, with any given tolerance, we obtain an a...

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Projects

Project (1)
Project
Solving Generalized Convex Multiobjective Programming Problems