His scientific interests lie mostly in Mathematical analysis, Numerical analysis, Discontinuous Galerkin method, Flow and Finite element method. The concepts of his Mathematical analysis study are interwoven with issues in Helmholtz free energy, Nonlinear system, Fluid dynamics, Stokes flow and Darcy's law. Shuyu Sun has researched Discontinuous Galerkin method in several fields, including Approximations of π, Estimator, Mathematical optimization and Galerkin method.
Shuyu Sun interconnects Conservation of mass, Porosity, Porous medium, Applied mathematics and Convection–diffusion equation in the investigation of issues within Mathematical optimization. His work carried out in the field of Flow brings together such families of science as Work, Phase, Coefficient matrix and Simulation, Computer simulation. His Finite element method study integrates concerns from other disciplines, such as Upwind scheme and Boundary value problem.
Shuyu Sun spends much of his time researching Mechanics, Porous medium, Applied mathematics, Flow and Mathematical analysis. Shuyu Sun has included themes like Finite difference method and Thermodynamics in his Mechanics study. His Porous medium research includes themes of Two-phase flow, Permeability, Compressibility, Finite element method and Saturation.
His Applied mathematics research includes elements of Finite difference, Mathematical optimization, Nonlinear system, Discretization and Numerical analysis. His research in Mathematical optimization focuses on subjects like Discontinuous Galerkin method, which are connected to Galerkin method. The study of Mathematical analysis is intertwined with the study of Mixed finite element method in a number of ways.
Shuyu Sun focuses on Applied mathematics, Mechanics, Methane, Flow and Porous medium. Shuyu Sun combines subjects such as Conservation of mass, Work, Compressibility, Finite element method and Discretization with his study of Applied mathematics. His Flow research incorporates elements of Heat transfer fluid, Convective flow, Dual and Interpolation.
The Porous medium study combines topics in areas such as Mixed finite element method, Diagonal, Relative permeability, Correctness and Coefficient matrix. His Mixed finite element method research focuses on subjects like Darcy's law, which are linked to Mathematical analysis. His Relative permeability research is multidisciplinary, incorporating elements of Finite difference, Numerical analysis and Perfect fluid.
Shuyu Sun mainly investigates Applied mathematics, Nonlinear system, Methane, Permeability and Multiphase flow. His research integrates issues of Conservation of mass, Energy and Equation of state in his study of Applied mathematics. His biological study spans a wide range of topics, including Saturation, Finite difference, Numerical analysis and Relative permeability.
His Nonlinear system study combines topics in areas such as Flow, Range, Discretization, Mathematical model and Variational inequality. The study incorporates disciplines such as Flow, Dissociation and Porous medium in addition to Hydrate. His Finite difference method study improves the overall literature in Mathematical analysis.
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Compatible algorithms for coupled flow and transport
Clint Dawson;Shuyu Sun;Mary F. Wheeler.
Computer Methods in Applied Mechanics and Engineering (2004)
Symmetric and Nonsymmetric Discontinuous Galerkin Methods for Reactive Transport in Porous Media
Shuyu Sun;Mary F. Wheeler.
SIAM Journal on Numerical Analysis (2005)
Discontinuous Galerkin methods for coupled flow and reactive transport problems
Shuyu Sun;Mary F. Wheeler.
Applied Numerical Mathematics (2005)
A deterministic model of growth factor-induced angiogenesis
Shuyu Sun;Mary F. Wheeler;Mandri Obeyesekere;Charles W. Patrick.
Bulletin of Mathematical Biology (2005)
Coupled Generalized Nonlinear Stokes Flow with Flow through a Porous Medium
V. J. Ervin;E. W. Jenkins;S. Sun.
SIAM Journal on Numerical Analysis (2009)
A Locally Conservative Finite Element Method Based on Piecewise Constant Enrichment of the Continuous Galerkin Method
Shuyu Sun;Jiangguo Liu.
SIAM Journal on Scientific Computing (2009)
Compositional modeling of three‐phase flow with gravity using higher‐order finite element methods
Joachim Moortgat;Shuyu Sun;Abbas Firoozabadi.
Water Resources Research (2011)
A Combined Mixed Finite Element and Discontinuous Galerkin Method for Miscible Displacement Problem in Porous Media
Shuyu Sun;Béatrice Rivière;Mary F. Wheeler.
L 2 ( H 1 ) norm a posteriori error estimation for discontinuous Galerkin approximations of reactive transport problems
Shuyu Sun;Mary F. Wheeler.
Journal of Scientific Computing (2005)
Adsorption of carbon dioxide, methane, and their mixture by montmorillonite in the presence of water
Ahmad Salim Kadoura;Arun Kumar Narayanan Nair;Shuyu Sun.
Microporous and Mesoporous Materials (2016)
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