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Total result(s) found: 83
  • J. Kou and S. Sun, “Unconditionally stable methods for simulating multi-component two-phase interface models with Peng-Robinson equation of state and various boundary conditions,” Journal of Computational and Applied Mathematics, Volume 291, Pages 158–182, January 2016.
Keywords:
multi-component two-phase interface models, Peng-Robinson equation of state
  • J. Kou, S. Sun and Y. Wu, “Mixed finite element-based fully conservative methods for simulating wormhole propagation,” Comput. Methods Appl. Mech. Engrg. 298, 279–302, 2016.
Keywords:
Mixed finite element, fully conservative, wormhole propagation
  • A. Kadoura, A. Salama and S. Sun, “Speeding up Monte Carlo molecular simulation by a non-conservative early rejection scheme”, Molecular Simulation, Volume 42, Issue 3, 229–241, 2016.
Keywords:
Monte Carlo, molecular simulation
  • A. Salama, M. F. ElAmin, and S. Sun, “Three-dimensional, numerical investigation of flow and heat transfer in rectangular channels subject to partial blockage”, Heat Transfer Engineering, 36(2): 152–165, 2015.
Keywords:
Three-dimensional, heat transfer in rectangular channels
  • A. Salama, S. Sun and M. ElAmin, “Investigation of thermal energy transport from an anisotropic central heating element to the adjacent channels: A Multipoint flux approximation,” Annals of Nuclear Energy, 76, pp. 100-112, 2015.
Keywords:
thermal energy transport, anisotropic
  • J. Kou, S. Sun, and X. Wang, “Efficient numerical methods for simulating surface tension of multi-component mixtures with the gradient theory of fluid interfaces,” Computer Methods in Applied Mechanics and Engineering, Volume 292, Pages 92–106, August 2015.
Keywords:
surface tension, multi-component mixtures
  • M. Louaked, N. Seloula, S. Sun, and S. Trabelsi, “A pseudocompressibility method for the incompressible Brinkman-Forchheimer equations,” Differential and Integral Equations, Volume 28, Numbers 3-4, pp. 361-382, March/April 2015.
Keywords:
pseudocompressibility, incompressible, Brinkman-Forchheimer
  • M. El-Amin, A. Salama and S. Sun, “Numerical and dimensional analysis of nanoparticles transport with two-phase flow in porous media,” J. Petrol.Science and Engineering, Volume 128, Pages 53–64, April 2015.
Keywords:
analysis of nanoparticles transport, two-phase flow
  • K. Katterbauer, I. Hoteit, and S. Sun, “History matching of electromagnetically heated reservoirs incorporating full-wavefield seismic and electromagnetic imaging,” SPE J., 20(5): 923 - 941, October 2015 [SPE-173896-PA].
Keywords:
History matching, electromagnetically heated reservoirs, full-wavefield seismic, electromagnetic
  • J. Li and S. Sun, “The superconvergence phenomenon and proof of the MAC scheme for the Stokes equations on non-uniform rectangular meshes,” Journal of Scientific Computing, Volume 65, Issue 1, pp 341-362, October 2015.
Keywords:
MAC scheme, Stokes equations, non-uniform rectangular meshes
  • D. Mukherjee, Z. Zaky, T. I. Zohdi, A. Salama, and S. Sun, “Investigation of guided particle transport for noninvasive healing of damaged piping systems using electro-magneto-mechanical methods”, SPE J., 20(4): 872 – 883, August 2015.
Keywords:
particle transport, healing of damaged piping, electro-magneto-mechanical methods
  • Y. Wu, C. Kowitz, S. Sun, and A. Salama, “Speeding up the flash calculations in two-phase compositional flow simulations – The application of sparse grids”, Journal of Computational Physics, Volume 285, Pages 88–99, 15 March 2015.
Keywords:
flash calculations, two-phase compositional flow, sparse grids
  • A. Negara, A. Salama, and S. Sun, “Multiphase flow simulation with gravity effect in anisotropic porous media using multipoint flux approximation,” Computers and Fluids, Volume 114, Pages 66–74, July 2015.
Keywords:
anisotropic porous media, multipoint flux approximation
  • T. Zhang, A. Salama, S. Sun, and M. F. El-Amin, “Pore network modeling of drainage process in patterned porous media: a quasi-static study”, Journal of Computational Science, Volume 9, Pages 64–69, July 2015.
Keywords:
Pore network modeling, quasi-static study
  • J. Kou and S. Sun, “Numerical methods for a multi-component two-phase interface model with geometric mean influence parameters”, SIAM Journal on Scientific Computing, SIAM J. Sci. Comput. 37(4), pp. B543-B569, 2015.
Keywords:
multi-component, two-phase interface model, geometric mean influence parameters
  • A. Salama, A. Negara, M. F. ElAmin, and S. Sun, “Numerical investigation of nanoparticles transport in anisotropic porous media”, Journal of Contaminant Hydrology, Volume 181, Pages 114–130, October 2015.
Keywords:
nanoparticle, anisotropic
  • Y. Wu, A. Salama and S. Sun, “Parallel simulation of wormhole propagation with the Darcy-Brinkman-Forchheimer framework”, Computers and Geotechnics, Volume 69, Pages 564–577, September 2015.
Keywords:
Parallel simulation, wormhole propagation, Darcy-Brinkman-Forchheimer
  • K. Katterbauer, S. Arango, S. Sun, and I. Hoteit, “Enhanced heavy oil recovery for carbonate reservoirs integrating cross-well seismic – A synthetic Wafra case study”, Journal of Petroleum Science and Engineering, Volume 134, Pages 1–13, October 2015.
Keywords:
heavy oil recovery, cross-well seismic
  • K. Katterbauer, S. Arango, S. Sun, I. Hoteit, “Synergizing crosswell seismic and electromagnetic techniques for enhancing reservoir characterization,” SPE Journal, in print. 
Keywords:
crosswell seismic, electromagnetic techniques
  • K. Bao, M. Yan, L. Lu, R. Allen, A. Salama, K.E. Jordan, and S. Sun, “High-performance modeling of CO2 sequestration by coupling reservoir simulation and molecular dynamics,” SPE Journal, in print.
Keywords:
High-performance modeling, CO2 sequestration
  • A. Salama, M. F. ElAmin, S. Sun, “Numerical investigation of high level nuclear waste disposal in deep anisotropic geologic repositories”, Progress in Nuclear Energy, Volume 85, Pages 747–755, November 2015.
Keywords:
nuclear waste, anisotropic geologic repositories
  • A. Salama, S. Sun, and K. Bao, “An experimenting field approach for the numerical solution of multiphase flow in porous media”, Groundwater, in press.
Keywords:
experimenting field approach, multiphase flow
  • K. Bao, A. Salama, and S. Sun, “Numerical investigation on the effects of a precursor wetting film on the displacement of two immiscible phases along a channel”, Flow, Turbulence and Combustion, in press.
Keywords:
precursor wetting film, two immiscible phases
  • S. Du, S. Sun, and X. Xie, “Residual-based a posteriori error estimation for multipoint flux mixed finite element methods”, 2013/12/23 to Xiv preprint arXiv:1312.6460, Numerische Mathematik.
Keywords:
posteriori error estimation, multipoint flux, mixed finite element methods
  • J. Kou and S. Sun, “An adaptive finite element method for simulating surface tension with the gradient theory of fluid interfaces,” Journal of Computational and Applied Mathematics, 255: 593–604, 2014.
Keywords:
Surface tension; Adaptive finite element method; Gradient theory
  • J. Kou and S. Sun, “Analysis of a combined mixed finite element and discontinuous Galerkin method for incompressible two-phase flow in porous media,” Mathematical Methods in the Applied Sciences, in press, 2013.
Keywords:
two-phase flow; discontinuous Galerkin method; mixed finite element method; existence and uniqueness; error estimate
  • A. Salama, S. Sun, and M. F. El-Amin, “A multi-point flux approximation of the steady state heat conduction equation in anisotropic media”, ASME, J. Heat Transfer, 135(4): 041302 (6 pages), 2013.
Keywords:
conduction heat transfer, anisotropic media, multipoint flux approximation, cell-centered finite difference, mixed finite element
  • J. Cai and S. Sun, “Fractal analysis of fracture increasing spontaneous imbibition in porous media saturated with gas,” International Journal of Modern Physics C (Int. J. Mod. Phys. C), 24(8): 1350056 (13 pages), 2013.
Keywords:
Spontaneous imbibition; fractal; fracture; gravity force; porous media
  • M. F. El-Amin, A. Salama and S. Sun, “Numerical and dimensional investigation of two-phase countercurrent imbibition in porous media”, Journal of Computational and Applied Mathematics, Volume 242, Pages 285–296, April 2013.
Keywords:
Oil recovery; Two-phase flow; Countercurrent imbibition; Gravity effect
  • Y. Wang, S. Sun and B. Yu, “On full-tensor permeabilities of porous media from numerical solutions of the Navier-Stokes equation”, Advances in Mechanical Engineering, Volume 2013, Article ID 137086, 11 pages, 2013.
Keywords:
On full-tensor permeabilities of porous media from numerical solutions of the Navier-Stokes equation
  • A. Salama, I. A. Abbas, M. F. El-Amin, S. Sun, "Comparison study between the effects of different terms contributing to viscous dissipation in saturated porous media", International Journal of Thermal Sciences, 64: 195–203, February 2013.
Keywords:
Viscous dissipation; Porous medium; Natural convection; Finite element method; Non-Darcy
  • S. Sun, A. Firoozabadi, and J. Kou, “Numerical modeling of two-phase binary fluid mixing using mixed finite elements”, Computational Geosciences, Volume 16, Issue 4, pp 1101-1124, September 2012.
Keywords:
Two-phase flow · Binary mixing · Multicomponent transport · Mixed finite element methods · Conservation law
  • M. Ferdows, Md. S. Khan, Md. M. Alam, and S. Sun, “MHD mixed convective boundary layer flow of a nanofluid through a porous medium due to an exponentially stretching sheet,” Mathematical Problems in Engineering, vol. 2012, Article ID 408528, 21 pages, 2012.
Keywords:
MHD mixed convective boundary layer flow of a nanofluid through a porous medium due to an exponentially stretching sheet
  • S. Sun, A. Salama, and M.F. El-Amin, “Matrix-oriented implementation for the numerical solution of the partial differential equations governing flows and transport in porous media”, Computers and Fluids, 68:38–46, 2012.
Keywords:
Porous media; Flow and transport; Numerical methods; Matrix-oriented techniques
  • W. Li, B. Yu, S. Sun, and X. Wang, “Calculation of cell face velocity of non-staggered grid system”, Appl. Math. Mech. -Engl. Ed., 33(7), 1–10, 2012.
Keywords:
collocated grid, staggered grid, momentum interpolation
  • K. Bao, Y. Shi, S. Sun, X.-P. Wang, “A finite element method for the numerical solution of the coupled Cahn-Hilliard and Navier-Stokes system for moving contact line problems”, Journal of Computational Physics, 231(24): 8083–8099, 15 October 2012.
Keywords:
Moving contact line; Generalized Navier boundary condition; Finite element method; Convex splitting; Navier–Stokes equations; Cahn–Hilliard equations
  • P. Song and S. Sun, “Contaminant flow and transport simulation in cracked porous media using locally conservative schemes”, Advances in Applied Mathematics and Mechanics (AAMM), 4(4): 389-421, 2012.
Keywords:
Mixed finite element methods, discontinuous Galerkin methods, reactive transport equation, flow equation.
  • M. F. El-Amin, A. Salama and S. Sun, “Effects of gravity and inlet location on a two-phase countercurrent imbibition in porous media," Special issue on Advances in Computational Fluid Dynamics, International Journal of Chemical Engineering, Article ID 210128, 7 pages, 2012.
Keywords:
Effects of gravity and inlet location on a two-phase countercurrent imbibition in porous media
  • Y. Wang, B. Yu, and S. Sun, “Fast prediction method for steady-state heat convection,” Chemical Engineering & Technology, 35(4): 668–678, 2012.
Keywords:
Galerkin projection; Heat convection; Modeling; Proper orthogonal decomposition
  • K. Bao, A. Salama, and S. Sun, "Upscaling of permeability field of fractured rock system: numerical examples," Journal of Applied Mathematics, Volume 2012 (2012), Article ID 546203, 20 pages, 2012.
Keywords:
Upscaling of permeability field of fractured rock system: numerical examples
  • M.F. El-Amin and S. Sun, “Horizontal H2-air turbulent buoyant jet resulting from hydrogen leakage,” International Journal of Hydrogen Energy, 37(4): 3949-3957, 2012.
Keywords:
Hydrogen safety; Hydrogen leakage; Turbulent jet; Non-Boussinesq; H2–air jet
  • M. Algharamti, I. Hoteit, and S. Sun, “Low-rank Kalman filtering for efficient state estimation of subsurface advective contaminant transport models”, Journal of Environmental Engineering, 138(4), 446–457, 2012.
Keywords:
Contaminant transport, State estimation, Kalman filter, Low rank Kalman filtering, Singular evolutive Kalman filter
  • M. F. El-Amin, A. Salama, S. Sun, R. S. R. Gorla, “Development of flow and heat transfer in the vicinity of a vertical plate embedded in porous medium with viscous dissipation effect,” Special Topics & Reviews in Porous Media, 3(2): 169-175, 2012.
Keywords:
porous medium, viscous dissipation, finite-difference method, free convection, unsteady flow
  • M. F. El-Amin, S. Sun and A. Salama, “Theoretical analysis and semi-analytical solutions for a turbulent buoyant hydrogen-air jet,” Journal of Applied Mathematics, special issue on “Mathematical and Numerical Modeling of Flow and Transport 2012”, Volume 2012 (2012), Article ID 710172, 12 pages, 2012.
Keywords:
Theoretical analysis and semi-analytical solutions for a turbulent buoyant hydrogen-air jet
  • Y. Huang, J. Li, W. Yang and S. Sun, “Superconvergence of mixed finite element approximations to 3-D Maxwell's equations in metamaterials,” Journal of Computational Physics, 230(22): 8275–8289, 2011.
Keywords:
Superconvergence; Maxwell’s equations; Metamaterials; Mixed finite elements
  • V. J. Ervin, E. W. Jenkins, and S. Sun, “Coupling nonlinear Stokes and Darcy flow using mortar finite elements”, Applied Numerical Mathematics, 61: 1198–1222, 2011.
Keywords:
Generalized nonlinear Stokes flow; Coupled Stokes and Darcy flow; Defective boundary condition
  • J. Moortgat, S. Sun and A. Firoozabadi, “Compositional modeling of three-phase flow with gravity using higher-order finite element methods”, Water Resources Research, 47, W05511, 2011.
Keywords:
compositional modeling; three-phase flow; higher-order methods
  • M. F. El-Amin and S. Sun, “Combined effect of magnetic field and thermal dispersion on a non-Darcy mixed convection,” Journal of Thermal Science, 20(3): 276-282, 2011.
Keywords:
Thermal dispersion; non-Darcy convection; magnet o-hydro-dynamics; porous media; geothermal systems.
  • A. Salama, M. F. El-Amin, I. Abbas, and S. Sun, “On the viscous dissipation modeling of thermal fluid flow in a porous medium,” Archive of Applied Mechanics, 81(12): 1865-1876, 2011.
Keywords:
Viscous dissipation · Porous medium · Natural convection · Finite element method · Non-Darcy
  • C. Dong, S. Sun and G. A. Taylor, “Numerical modeling of contaminant transport in fractured porous media using mixed finite element and finite volume methods,” Journal of Porous Media, 14(3): 219-242, 2011.
Keywords:
mixed finite-element method, finite-volume method, adaptive triangle mesh, fractured porous medium, flow transportation, simulation
  • J. Kou, S. Sun, and B. Yu, “Multiscale time splitting strategy for multi-scale multi-physics processes of two-phase flow in fractured media”, Journal of Applied Mathematics, special issue on “Mathematical and Numerical Modeling of Flow and Transport,” Volume 2011 (2011), Article ID 861905, 24 pages, 2011.
Keywords:
Multiscale time splitting strategy for multi-scale multi-physics processes of two-phase flow in fractured media
  • M. F. El-Amin and S. Sun, “Effects of gravity and inlet/outlet location on a two-phase co-current imbibition in porous media,” Journal of Applied Mathematics, special issue on “Mathematical and Numerical Modeling of Flow and Transport”, Volume 2011 (2011), Article ID 673523, 18 pages, 2011.
Keywords:
Effects of gravity and inlet/outlet location on a two-phase co-current imbibition in porous media
  • M. F. El-Amin, N. A. Ebrahim, A. Salama, and S. Sun, “Radiative mixed convection over an isothermal cone embedded in a porous medium with variable permeability,” Journal of Applied Mathematics, special issue on “Mathematical and Numerical Modeling of Flow and Transport”, Volume 2011 (2011), Article ID 124590, 10 pages, 2011.
Keywords:
Radiative mixed convection over an isothermal cone embedded in a porous medium with variable permeability
  • X. Fan, S. Sun, W. Wei, and J. Kou, “Numerical simulation of pollutant transport in fractured vuggy porous Karstic aquifers,” Journal of Applied Mathematics, special issue on “Mathematical and Numerical Modeling of Flow and Transport”, Volume 2011 (2011), Article ID 498098, 41 pages, 2011.
Keywords:
Numerical simulation of pollutant transport in fractured vuggy porous Karstic aquifers
  • M. F. El-Amin , S. Sun, M. A. El-Ameen, Y. A. Jaha and R. S. R. Gorla, “Non-Darcy free convection of power-law fluids over a two-dimensional body embedded in a porous medium”, Transport in Porous Media, 86(3): 965-972, 2011.
Keywords:
Porous media · Non-Newtonian fluid · Power-law fluid · Non-Darcy free convection
  • M. F. El-Amin, S. Sun and H. Kanayama, “Non-Boussinesq turbulent buoyant jet of a low-density gas leaks into high-density ambient,” Applied Mathematics and Computation, 217: 3764–3778, 2010.
Keywords:
Low-density gas; Buoyant; Jet; Turbulent; Non-Boussinesq; Similarity
  • J. Kou and S. Sun, “On iterative IMPES formulation for two phase flow with capillarity in heterogeneous porous media,” International Journal of Numerical Analysis and Modeling Series B (IJNAMB), 1(1), 20–40, 2010.

Keywords:
Two-phase flow, IMPES, Heterogeneous media, Capillary pres sure.
  • J. Kou and S. Sun, “A new treatment of capillarity to improve the stability of IMPES two-phase flow formulation”, Computers and Fluids, 39(10), 1923–1931, 2010.
Keywords:
Two-phase flow; IMPES; Heterogeneous media; Capillary pressure
  • B. Yu, C. Li, Z. Zhang, X. Liu, J. Zhang, J. Wei, S. Sun, and J. Huang, “Numerical simulation of a buried hot crude oil pipeline under normal operation”, Applied Thermal Engineering, 30, 2670–2679, 2010.
Keywords:
Crude oil pipeline; Unstructured grid; Finite volume method; Oil inlet temperature; Hydraulic loss; Relative error
  • M. F. El-Amin, S. Sun, W. Heidemann and H. Müller-Steinhagen, “Analysis of a turbulent buoyant confined jet modeled using realizable k–ɛ model”, Heat and Mass Transfer, 46(8-9), 943–960, 2010.
Keywords:
Analysis of a turbulent buoyant confined jet modeled using realizable k–ɛ model
  • M. F. El-Amin, S. Sun, W. Heidemann and H. Müller-Steinhagen, “Analysis of a turbulent buoyant confined jet modeled using realizable k–ɛ model”, Heat and Mass Transfer, 46(8-9), 943–960, 2010.
Keywords:
Analysis of a turbulent buoyant confined jet modeled using realizable k–ɛ model
  • J. Kou, X. Wang, and S. Sun, “Some new root-finding methods with eighth-order convergence”, Bull. Math. Soc. Sci. Math. Roumanie, 53(101), No. 2, 133–143, 2010.
Keywords:
Non-linear equations, Ostrowski’s method, Root-finding, Iter- ative method, Efficiency
  • C. Xu, B. Yu, Z. Zhang, J. Zhang, J. Wei and S. Sun, “Numerical simulation of a buried hot crude oil pipeline during shutdown”, Pet. Sci., 7: 73-82, 2010.
Keywords:
Moving boundary, stagnation point, equivalent thermal conductivity, thermal influence region, unstructured grid
  • H. Wei, M. Dong, and S. Sun, “Inoperability Input-Output Modeling (IIM) of disruptions to supply chain networks”, Systems Engineering, 13(4): 324-339, 2010.
Keywords:
inoperability input–output model; disruptions; robustness metrics; supply chain safety; decision analysis
  • S. Sun and J. Liu, “A locally conservative finite element method based on enrichment of the continuous Galerkin method”, SIAM Journal on Scientific Computing, 31(4), 2528–2548, 2009.
Keywords:
continuous Galerkin methods, discontinuous Galerkin methods, enriched Galerkin methods, flow, locally conservative methods, transport
  • M. Dong, S. Sun, and X. Jin, “Modelling and analysis of newsvendor-based trading options in supply chains”, Int. J. Services Operations and Informatics, 4(3), 258–271, 2009.
Keywords:
Modelling and analysis of newsvendor-based trading options in supply chains
  • K. Wang, H. Wang, S. Sun, and M. F. Wheeler, “An optimal-order L2-error estimate for non-symmetric discontinuous Galerkin methods for a diffusion equation in multiple space dimensions”, Computer Methods in Applied Mechanics and Engineering, 198(27-29), 2190-2197, 2009.
Keywords:
Convergence analysis; Discontinuous Galerkin methods; NIPG; IIPG; Error estimates; Superconvergence
  • V. J. Ervin, E. W. Jenkins, and S. Sun, “Coupled generalized non-linear stokes flow with flow through a porous medium”, SIAM Journal on Numerical Analysis, 47(2), 929–952, 2009.
Keywords:
generalized nonlinear Stokes flow, coupled Stokes and Darcy flow, defective bound- ary condition
  • V. Girault, S. Sun, M. F. Wheeler and I. Yotov, "Coupling discontinuous Galerkin and mixed finite element discretizations using mortar finite elements", SIAM Journal on Numerical Analysis, 46(2), 949–979, 2008.
Keywords:
discontinuous Galerkin, mixed finite element, flow in porous media, mortar finite element, interface problem
  • S. Sun and M. Dong, “Continuum modeling of supply chain networks using discontinuous Galerkin methods”, Computer Methods in Applied Mechanics and Engineering, 197(13-16), 1204-1218, 2008.
Keywords:
Supply chain network; Re-entrant line; Connectivity matrix; Discontinuous Galerkin method; Conservation law; Continuum modeling
  • S. Sun and J. Geiser, “Multiscale discontinuous Galerkin and operator-splitting methods for modeling subsurface flow and transport”, International Journal for Multiscale Computational Engineering, 6(1), 87-101, 2008.
Keywords:
Multiscale Discontinuous Galerkin and Operator-Splitting Methods for Modeling Subsurface Flow and Transport
  • S. Sun and M. F. Wheeler, “Local problem-based a posteriori error estimators for discontinuous Galerkin approximations of reactive transport”, Computational Geosciences, 11(2), 87–101, 2007.
Keywords:
a posteriori error estimators · discontinuous Galerkin methods · IIPG · NIPG · OBB-DG · reactive transport · SIPG
  • S. Sun and M. F. Wheeler, “A dynamic, adaptive, locally conservative and nonconforming solution strategy for transport phenomena in chemical engineering”, Chemical Engineering Communications, 193(12), 1527-1545, 2006.

Keywords:
Discontinuous Galerkin methods, Dynamic mesh adaptation, Parabolic partial differential equations, Transport phenomena
  • S. Sun and M. F. Wheeler, "Analysis of discontinuous Galerkin methods for multicomponent reactive transport problems", Computers and Mathematics with Applications, 52(5), 637-650, 2006.
Keywords:
Discontinuous Galerkin methods; Error estimates; Multicomponent systems; Reaction; Transport
  • S. Sun and M. F. Wheeler, “Projections of velocity data for the compatibility with transport”, Computer Methods in Applied Mechanics and Engineering, 195, 653-673, 2006.
Keywords:
Flow; Transport; Mass conservation; Zeroth-order accuracy; Compatibility
  • S. Sun and M. F. Wheeler, “A posteriori error estimation and dynamic adaptivity for symmetric discontinuous Galerkin approximations of reactive transport problems", Computer Methods in Applied Mechanics and Engineering, 195, 632-652, 2006.
Keywords:
Discontinuous Galerkin methods; SIPG; A posteriori error estimators; Adaptivity
  • S. Sun, M. F. Wheeler, M. Obeyesekere and C. W. Patrick Jr., “Multiscale angiogenesis modeling using mixed finite element methods”, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 4(4), 1137-1167, 2005.
Keywords:
anastomosis, angiogenesis, capillary branching, capillary network, chemotactic growth factors, deterministic modeling, mixed finite element methods
  • S. Sun, M. F. Wheeler, M. Obeyesekere and C. W. Patrick Jr., “Nonlinear behaviors of capillary formation in a deterministic angiogenesis model”, Nonlinear Analysis, 63(5-7), e2237-e2246, 2005.
Keywords:
Angiogenesis; Capillary network; Growth factors
  • S. Sun and M. F. Wheeler, “Symmetric and nonsymmetric discontinuous Galerkin methods for reactive transport in porous media”, SIAM Journal on Numerical Analysis, 43(1), 195-219, 2005.
Keywords:
error estimates, discontinuous Galerkin methods, reactive transport, porous media, parabolic partial differential equations, SIPG, NIPG, IIPG
  • S. Sun, M. F. Wheeler, M. Obeyesekere and C. W. Patrick Jr., “A deterministic model of growth factor-induced angiogenesis”, Bulletin of Mathematical Biology, 67(2), 313-337, 2005.
Keywords:
A deterministic model of growth factor-induced angiogenesis
  • S. Sun and M. F. Wheeler, “Discontinuous Galerkin methods for coupled flow and reactive transport problems”, Applied Numerical Mathematics, 52(2-3), 273-298, 2005.
Keywords:
Discontinuous Galerkin methods; NIPG; IIPG; SIPG; A priori error estimates; Coupled system; Flow; Transport; Reaction
  • C. Dawson, S. Sun and M. F. Wheeler, “Compatible algorithms for coupled flow and transport”, Computer Methods in Applied Mechanics and Engineering, 193, 2565-2580, 2004.
Keywords:
Flow, Transport, Mass conservation, Streamline diffusion method, Discontinuous Galerkin methods
  • S. Sun and M. F. Wheeler, “L2(H1) norm a posteriori error estimation for discontinuous Galerkin approximations of reactive transport problems”, Journal of Scientific Computing, 22(1), 501-530, 2005.

Keywords:
Discontinuous Galerkin methods, OBB-DG, NIPG, IIPG, SIPG, a posteriori error estimators, hp adaptivity