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ORCIDVincent J. Ervin
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- affiliation: Clemson University, USA
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Journal Articles
- 2023
[j25]Xiangcheng Zheng, V. J. Ervin
, Hong Wang:
Analysis and Petrov-Galerkin numerical approximation for variable coefficient two-sided fractional diffusion, advection, reaction equations. J. Comput. Appl. Math. 425: 115033 (2023)- 2021
- [j24]Suxiang Yang, Huanzhen Chen, Vincent J. Ervin, Hong Wang:
Solvability and approximation of two-side conservative fractional diffusion problems with variable-Coefficient based on least-Squares. Appl. Math. Comput. 406: 126229 (2021) - [j23]Xiangcheng Zheng, V. J. Ervin, Hong Wang:
Optimal Petrov-Galerkin Spectral Approximation Method for the Fractional Diffusion, Advection, Reaction Equation on a Bounded Interval. J. Sci. Comput. 86(3): 29 (2021) - 2020
- [j22]Xiangcheng Zheng, Vincent J. Ervin, Hong Wang:
Numerical Approximations for the Variable Coefficient Fractional Diffusion Equations with Non-smooth Data. Comput. Methods Appl. Math. 20(3): 573-589 (2020) - 2019
- [j21]Xiangcheng Zheng, V. J. Ervin, Hong Wang:
Spectral approximation of a variable coefficient fractional diffusion equation in one space dimension. Appl. Math. Comput. 361: 98-111 (2019) - 2018
- [j20]V. J. Ervin, Javier Ruiz-Ramírez:
A deposition model coupling Stokes' and Darcy's equations with nonlinear deposition. J. Comput. Appl. Math. 340: 151-172 (2018) - [j19]V. J. Ervin, Norbert Heuer, John Paul Roop:
Regularity of the solution to 1-D fractional order diffusion equations. Math. Comput. 87(313): 2273-2294 (2018) - 2017
- [j18]V. J. Ervin, Hyesuk Lee, Javier Ruiz-Ramírez:
Nonlinear Darcy fluid flow with deposition. J. Comput. Appl. Math. 309: 79-94 (2017) - [j17]Vincent J. Ervin, Thomas Führer, Norbert Heuer, Michael Karkulik:
DPG Method with Optimal Test Functions for a Fractional Advection Diffusion Equation. J. Sci. Comput. 72(2): 568-585 (2017) - 2015
- [j16]Vincent J. Ervin, Michaela Kubacki, William J. Layton, Marina Moraiti, Zhiyong Si, Catalin Trenchea:
On Limiting Behavior of Contaminant Transport Models in Coupled Surface and Groundwater Flows. Axioms 4(4): 518-529 (2015) - 2014
- [j15]V. J. Ervin, Eleanor W. Jenkins, Hyesuk Lee:
Approximation of the Stokes-Darcy System by Optimization. J. Sci. Comput. 59(3): 775-794 (2014) - 2013
- [j14]T. R. Crowder, V. J. Ervin:
Numerical simulations of fluid pressure in the human eye. Appl. Math. Comput. 219(24): 11119-11133 (2013) - [j13]V. J. Ervin:
Approximation of Axisymmetric Darcy Flow Using Mixed Finite Element Methods. SIAM J. Numer. Anal. 51(3): 1421-1442 (2013) - 2012
- [j12]V. J. Ervin:
Computational bases for RTk and BDMk on triangles. Comput. Math. Appl. 64(8): 2765-2774 (2012) - [j11]Vincent J. Ervin, William J. Layton, Monika Neda:
Numerical Analysis of Filter-Based Stabilization for Evolution Equations. SIAM J. Numer. Anal. 50(5): 2307-2335 (2012) - 2011
- [j10]V. J. Ervin, Eleanor W. Jenkins:
Stabilized approximation to degenerate transport equations via filtering. Appl. Math. Comput. 217(17): 7282-7294 (2011) - [j9]Michael A. Case, Vincent J. Ervin, Alexander Linke, Leo G. Rebholz:
A Connection Between Scott-Vogelius and Grad-Div Stabilized Taylor-Hood FE Approximations of the Navier-Stokes Equations. SIAM J. Numer. Anal. 49(4): 1461-1481 (2011) - 2009
- [j8]J. C. Chrispell, V. J. Ervin, Eleanor W. Jenkins:
A fractional step θ-method approximation of time-dependent viscoelastic fluid flow. J. Comput. Appl. Math. 232(2): 159-175 (2009) - [j7]V. J. Ervin, Eleanor W. Jenkins, Shuyu Sun:
Coupled Generalized Nonlinear Stokes Flow with Flow through a Porous Medium. SIAM J. Numer. Anal. 47(2): 929-952 (2009) - 2008
- [j6]Vincent J. Ervin, Jason S. Howell, Hyesuk Lee:
A two-parameter defect-correction method for computation of steady-state viscoelastic fluid flow. Appl. Math. Comput. 196(2): 818-834 (2008) - 2007
- [j5]Vincent J. Ervin, Norbert Heuer, John Paul Roop:
Numerical Approximation of a Time Dependent, Nonlinear, Space-Fractional Diffusion Equation. SIAM J. Numer. Anal. 45(2): 572-591 (2007) - [j4]Vincent J. Ervin, Hyesuk Lee:
Numerical Approximation of a Quasi-Newtonian Stokes Flow Problem with Defective Boundary Conditions. SIAM J. Numer. Anal. 45(5): 2120-2140 (2007) - 2003
- [j3]Vincent J. Ervin, William W. Miles:
Approximation of Time-Dependent Viscoelastic Fluid Flow: SUPG Approximation. SIAM J. Numer. Anal. 41(2): 457-486 (2003) - 2000
- [j2]Jinqiao Duan, Vincent J. Ervin:
On nonlinear amplitude evolution under stochastic forcing. Appl. Math. Comput. 109(1): 59-65 (2000) - [j1]Vincent J. Ervin, William J. Layton, Joseph M. Maubach:
Adaptive Defect-Correction Methods for Viscous Incompressible Flow Problems. SIAM J. Numer. Anal. 37(4): 1165-1185 (2000)
Informal and Other Publications
- 2022
- [i3]Xiangcheng Zheng, V. J. Ervin, Hong Wang:
Analysis and Petrov-Galerkin numerical approximation for variable coefficient two-sided fractional diffusion, advection, reaction equations. CoRR abs/2203.11705 (2022) - 2020
- [i2]Xiangcheng Zheng, V. J. Ervin, Hong Wang:
Optimal Petrov-Galerkin spectral approximation method for the fractional diffusion, advection, reaction equation on a bounded interval. CoRR abs/2002.02330 (2020) - [i1]Alistair Bentley, V. J. Ervin:
Approximation of the Axisymmetric Elasticity Equations with Weak Symmetry. CoRR abs/2004.10720 (2020)
Coauthor Index
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