V
Vincent J. Ervin
Researcher at Clemson University
Publications - 100
Citations - 3004
Vincent J. Ervin is an academic researcher from Clemson University. The author has contributed to research in topics: Finite element method & Nonlinear system. The author has an hindex of 25, co-authored 97 publications receiving 2689 citations. Previous affiliations of Vincent J. Ervin include Georgia Institute of Technology & University of South Carolina.
Papers
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Variational formulation for the stationary fractional advection dispersion equation
Vincent J. Ervin,John Paul Roop +1 more
TL;DR: In this paper, a theoretical framework for the Galerkin finite element approximation to the steady state fractional advection dispersion equation is presented, and appropriate fractional derivative spaces are defined and shown to be equivalent to the usual fractional dimension Sobolev spaces Hs.
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Numerical Approximation of a Time Dependent, Nonlinear, Space-Fractional Diffusion Equation
TL;DR: A fully discrete numerical approximation to a time dependent fractional order diffusion equation which contains a nonlocal quadratic nonlinearity is analyzed.
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Variational solution of fractional advection dispersion equations on bounded domains in ℝd
Vincent J. Ervin,John Paul Roop +1 more
TL;DR: In this paper, the steady state fractional advection dispersion equation (FADE) on bounded domains in ℝd is discussed and a theoretical framework for the variational solution of FADE is presented.
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A Connection Between Scott-Vogelius and Grad-Div Stabilized Taylor-Hood FE Approximations of the Navier-Stokes Equations
TL;DR: Numerical tests are provided which verify the theory and show how both Scott-Vogelius and grad-div stabilized Taylor-Hood elements can provide accurate results with excellent mass conservation for Navier-Stokes approximations.
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Coupled Generalized Nonlinear Stokes Flow with Flow through a Porous Medium
TL;DR: This article proposes and analyzes an approximation algorithm and establishes a priori error estimates for the approximation and shows existence and uniqueness of a variational solution to the problem.