Vincent J. Ervin - Publications

Affiliations: 
Clemson University, Clemson, SC, United States 
Area:
Mathematics

66 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Zheng X, Ervin VJ, Wang H. Numerical Approximations for the Variable Coefficient Fractional Diffusion Equations with Non-smooth Data Computational Methods in Applied Mathematics. 20: 573-589. DOI: 10.1515/Cmam-2019-0038  0.473
2020 Zheng X, Ervin VJ, Wang H. Wellposedness of the two-sided variable coefficient Caputo flux fractional diffusion equation and error estimate of its spectral approximation Applied Numerical Mathematics. 153: 234-247. DOI: 10.1016/J.Apnum.2020.02.019  0.532
2019 Ambartsumyan I, Ervin VJ, Nguyen T, Yotov I. A nonlinear Stokes-Biot model for the interaction of a non-Newtonian fluid with poroelastic media Mathematical Modelling and Numerical Analysis. 53: 1915-1955. DOI: 10.1051/M2An/2019061  0.473
2019 Zheng X, Ervin VJ, Wang H. Spectral approximation of a variable coefficient fractional diffusion equation in one space dimension Applied Mathematics and Computation. 361: 98-111. DOI: 10.1016/J.Amc.2019.05.017  0.415
2019 Ervin V, Kubacki M, Layton W, Moraiti M, Si Z, Trenchea C. Partitioned penalty methods for the transport equation in the evolutionary Stokes–Darcy‐transport problem Numerical Methods For Partial Differential Equations. 35: 349-374. DOI: 10.1002/Num.22303  0.412
2018 Ervin VJ, Ruiz-Ramírez J. A deposition model coupling Stokes’ and Darcy’s equations with nonlinear deposition Journal of Computational and Applied Mathematics. 340: 151-172. DOI: 10.1016/J.Cam.2018.02.021  0.477
2017 Ervin VJ, Heuer N, Roop JP. Regularity of the solution to 1-D fractional order diffusion equations Ieee Communications Magazine. 87: 2273-2294. DOI: 10.1090/Mcom/3295  0.435
2017 Ervin VJ, Lee H, Ruiz-Ramírez J. Nonlinear Darcy fluid flow with deposition Journal of Computational and Applied Mathematics. 309: 79-94. DOI: 10.1016/J.Cam.2016.06.025  0.529
2017 Ervin VJ, Führer T, Heuer N, Karkulik M. DPG Method with Optimal Test Functions for a Fractional Advection Diffusion Equation Journal of Scientific Computing. 72: 568-585. DOI: 10.1007/S10915-017-0369-Z  0.459
2016 Ervin VJ, Lee H, Salgado AJ. Generalized Newtonian fluid flow through a porous medium Journal of Mathematical Analysis and Applications. 433: 603-621. DOI: 10.1016/J.Jmaa.2015.07.054  0.482
2015 Ervin VJ, Macías-Díaz JE, Ruiz-Ramírez J. A positive and bounded finite element approximation of the generalized Burgers-Huxley equation Journal of Mathematical Analysis and Applications. 424: 1143-1160. DOI: 10.1016/J.Jmaa.2014.11.047  0.523
2014 Ervin VJ, Jenkins EW, Lee H. Approximation of the stokes-darcy system by optimization Journal of Scientific Computing. 59: 775-794. DOI: 10.1007/S10915-013-9779-8  0.363
2013 Ervin VJ. Approximation of axisymmetric darcy flow using mixed finite element methods Siam Journal On Numerical Analysis. 51: 1421-1442. DOI: 10.1137/120861631  0.476
2013 Ervin VJ, Jenkins EW. Stenberg's sufficiency criteria for the LBB condition for axisymmetric Stokes flow Journal of Mathematical Analysis and Applications. 398: 421-437. DOI: 10.1016/J.Jmaa.2012.09.003  0.425
2013 Ervin VJ. Approximation of coupled Stokes-Darcy flow in an axisymmetric domain Computer Methods in Applied Mechanics and Engineering. 258: 96-108. DOI: 10.1016/J.Cma.2013.02.004  0.51
2013 Crowder TR, Ervin VJ. Numerical simulations of fluid pressure in the human eye Applied Mathematics and Computation. 219: 11119-11133. DOI: 10.1016/J.Amc.2013.04.060  0.387
2012 Ervin VJ, Layton WJ, Neda M. Numerical analysis of filter-based stabilization for evolution equations Siam Journal On Numerical Analysis. 50: 2307-2335. DOI: 10.1137/100782048  0.448
2012 Ervin VJ. Computational bases for RT k and BDM k on triangles Computers and Mathematics With Applications. 64: 2765-2774. DOI: 10.1016/J.Camwa.2012.08.011  0.359
2011 Case MA, Ervin VJ, Linke A, Rebholz LG. A connection between Scott-Vogelius and grad-div stabilized Taylor-Hood fe approximations of the Navier-Stokes equations Siam Journal On Numerical Analysis. 49: 1461-1481. DOI: 10.1137/100794250  0.478
2011 Ervin VJ, Jenkins EW, Sun S. Coupling nonlinear Stokes and Darcy flow using mortar finite elements Applied Numerical Mathematics. 61: 1198-1222. DOI: 10.1016/J.Apnum.2011.08.002  0.477
2011 Ervin VJ, Jenkins EW. Stabilized approximation to degenerate transport equations via filtering Applied Mathematics and Computation. 217: 7282-7294. DOI: 10.1016/J.Amc.2011.02.020  0.501
2009 Ervin VJ, Jenkins EW, Sun S. Coupled generalized nonlinear stokes flow with flow through a porous medium Siam Journal On Numerical Analysis. 47: 929-952. DOI: 10.1137/070708354  0.472
2009 Chrispell JC, Ervin VJ, Jenkins EW. A fractional step θ-method approximation of time-dependent viscoelastic fluid flow Journal of Computational and Applied Mathematics. 232: 159-175. DOI: 10.1016/J.Cam.2009.05.024  0.74
2008 Ervin VJ, Howell JS, Stanculescu I. A dual-mixed approximation method for a three-field model of a nonlinear generalized Stokes problem Computer Methods in Applied Mechanics and Engineering. 197: 2886-2900. DOI: 10.1016/J.Cma.2008.01.022  0.717
2008 Ervin VJ, Howell JS, Lee H. A two-parameter defect-correction method for computation of steady-state viscoelastic fluid flow Applied Mathematics and Computation. 196: 818-834. DOI: 10.1016/J.Amc.2007.07.014  0.699
2007 Ervin VJ, Lee H. Numerical approximation of a quasi-Newtonian Stokes flow problem with defective boundary conditions Siam Journal On Numerical Analysis. 45: 2120-2140. DOI: 10.1137/060669012  0.486
2007 Ervin VJ, Heuer N, Roop JP. Numerical approximation of a time dependent, nonlinear, space-fractional diffusion equation Siam Journal On Numerical Analysis. 45: 572-591. DOI: 10.1137/050642757  0.784
2007 Chrispell JC, Ervin VJ, Jenkins EW. A fractional step θ-method for convection-diffusion problems Journal of Mathematical Analysis and Applications. 333: 204-218. DOI: 10.1016/J.Jmaa.2006.11.059  0.742
2007 Ervin VJ, Roop JP. Variational solution of fractional advection dispersion equations on bounded domains in ℝd Numerical Methods For Partial Differential Equations. 23: 256-281. DOI: 10.1002/Num.20169  0.776
2007 Ervin VJ, Layton WJ, Neda M. Numerical analysis of a higher order time relaxation model of fluids International Journal of Numerical Analysis and Modeling. 4: 648-670.  0.337
2006 Ervin VJ, Heuer N. An adaptive boundary element method for the exterior Stokes problem in three dimensions Ima Journal of Numerical Analysis. 26: 297-325. DOI: 10.1093/Imanum/Dri041  0.47
2006 Ervin VJ, Phillips TN. Residual a posteriori error estimator for a three-field model of a non-linear generalized Stokes problem Computer Methods in Applied Mechanics and Engineering. 195: 2599-2610. DOI: 10.1016/J.Cma.2005.05.019  0.438
2006 Ervin VJ, Ntasin LN. Improving the effectivity of residual based a posteriori error estimates using a statistical approach Computer Methods in Applied Mechanics and Engineering. 195: 614-631. DOI: 10.1016/J.Cma.2005.02.012  0.451
2006 Ervin VJ, Roop JP. Variational formulation for the stationary fractional advection dispersion equation Numerical Methods For Partial Differential Equations. 22: 558-576. DOI: 10.1002/Num.20112  0.784
2006 Ervin VJ, Lee H. Defect correction method for viscoelastic fluid flows at high weissenberg number Numerical Methods For Partial Differential Equations. 22: 145-164. DOI: 10.1002/Num.20090  0.499
2005 Ervin VJ, Lee HK, Ntasin LN. Analysis of the Oseen-viscoelastic fluid flow problem Journal of Non-Newtonian Fluid Mechanics. 127: 157-168. DOI: 10.1016/J.Jnnfm.2005.03.006  0.525
2005 Ervin VJ, Miles WW. Approximation of time-dependent, multi-component, viscoelastic fluid flow Computer Methods in Applied Mechanics and Engineering. 194: 2229-2255. DOI: 10.1016/J.Cma.2004.07.015  0.559
2005 Ervin VJ, Shepherd JJ. Numerical approximation of the Newtonian film blowing problem Computers and Mathematics With Applications. 49: 1687-1707. DOI: 10.1016/J.Camwa.2005.01.019  0.379
2005 Ervin VJ, Ntasin LN. A posteriori error estimation and adaptive computation of viscoelastic fluid flow Numerical Methods For Partial Differential Equations. 21: 297-322. DOI: 10.1002/Num.20038  0.516
2004 Ervin VJ, Heuer N. Approximation of Time-Dependent, Viscoelastic Fluid Flow: Crank-Nicolson, Finite Element Approximation Numerical Methods For Partial Differential Equations. 20: 248-283. DOI: 10.1002/Num.10086  0.562
2004 Brannan JR, Ervin VJ, Duan J, Razoumov L. A Wiener-Hopf approximation technique for a multiple plate diffraction problem Mathematical Methods in the Applied Sciences. 27: 19-34. DOI: 10.1002/Mma.432  0.373
2003 Ervin VJ, Miles WW. Approximation of time-dependent viscoelastic fluid flow: SUPG approximation Siam Journal On Numerical Analysis. 41: 457-486. DOI: 10.1137/S003614290241177X  0.586
2001 Brannan JR, Duan J, Ervin VJ. Escape probability and mean residence time in random flows with unsteady drift Mathematical Problems in Engineering. 7: 55-65. DOI: 10.1155/S1024123X01001521  0.424
2001 Duan J, Ervin VJ. On the stochastic Kuramoto-Sivashinsky equation Nonlinear Analysis, Theory, Methods and Applications. 44: 205-216. DOI: 10.1016/S0362-546X(99)00259-X  0.369
2001 Duan J, Ervin VJ, Schertzer D. Dispersion in flows with obstacles and uncertainty Proceedings of the International Conference On Dynamical Systems and Differential Equations. 131-136.  0.371
2000 Ervin VJ, Layton WJ, Maubach JM. Adaptive defect-correction methods for viscous incompressible flow problems Siam Journal On Numerical Analysis. 37: 1165-1185. DOI: 10.1137/S0036142997318164  0.538
2000 Lin G, Gao H, Duan J, Ervin VJ. Asymptotic dynamical difference between the nonlocal and local Swift–Hohenberg models Journal of Mathematical Physics. 41: 2077-2089. DOI: 10.1063/1.533228  0.365
2000 Cawood ME, Ervin VJ, Layton WJ, Maubach JM. Adaptive defect correction methods for convection dominated, convection diffusion problems Journal of Computational and Applied Mathematics. 116: 1-21. DOI: 10.1016/S0377-0427(99)00278-2  0.497
2000 Duan J, Ervin VJ. On nonlinear amplitude evolution under stochastic forcing Applied Mathematics and Computation. 109: 59-65. DOI: 10.1016/S0096-3003(99)00016-8  0.417
1999 Ervin VJ, Klett JW, Mundt CM. Estimation of the thermal conductivity of composites Journal of Materials Science. 34: 3545-3553. DOI: 10.1023/A:1004674308487  0.331
1999 Brannan JR, Duan J, Ervin VJ. Escape probability, mean residence time and geophysical fluid particle dynamics Physica D: Nonlinear Phenomena. 133: 23-33. DOI: 10.1016/S0167-2789(99)00096-2  0.317
1999 Ervin VJ, Layton WJ. A robust and parallel relaxation method based on algebraic splittings Numerical Methods For Partial Differential Equations. 15: 91-110. DOI: 10.1002/(Sici)1098-2426(199901)15:1<91::Aid-Num5>3.0.Co;2-T  0.314
1998 Duan J, Ervin VJ. Dynamics of a Nonlocal Kuramoto-Sivashinsky Equation Journal of Differential Equations. 143: 243-266. DOI: 10.1006/Jdeq.1997.3371  0.438
1996 Ervin VJ, Layton WJ. A posteriori error estimation for two level discretizations of flows of electrically conducting, incompressible fluids Computers and Mathematics With Applications. 31: 105-114. DOI: 10.1016/0898-1221(96)00067-3  0.467
1993 Ervin VJ, Heuer N, Stephan EP. On the h-p version of the boundary element method for Symm's integral equation on polygons Computer Methods in Applied Mechanics and Engineering. 110: 25-38. DOI: 10.1016/0045-7825(93)90017-R  0.449
1992 Ervin VJ, Stephan EP. Adaptive approximations for 3-D electrostatic plate problems Advances in Engineering Software. 15: 211-215. DOI: 10.1016/0965-9978(92)90102-L  0.467
1992 Ervin VJ, Stephan EP. Collocation with Chebyshev polynomials for a hypersingular integral equation on an interval Journal of Computational and Applied Mathematics. 43: 221-229. DOI: 10.1016/0377-0427(92)90267-2  0.517
1991 Costabel M, Ervin VJ, Stephan EP. Experimental convergence rates for various couplings of boundary and finite elements Mathematical and Computer Modelling. 15: 93-102. DOI: 10.1016/0895-7177(91)90056-D  0.321
1991 Ervin VJ, Stephan EP. Boundary-element method with mesh refinement for a weakly singular integral equation Communications in Applied Numerical Methods. 7: 273-280. DOI: 10.1002/Cnm.1630070404  0.52
1990 Costabel M, Ervin VJ, Stephan EP. Symmetric coupling of finite elements and boundary elements for a parabolic-elliptic interface problem Quarterly of Applied Mathematics. 48: 265-279. DOI: 10.1090/Qam/1052136  0.332
1990 Costabel M, Ervin VJ, Stephan EP. Experimental asymptotic convergence of the collocation method for boundary integral equations on polygons governing Laplace's equation Computational Mechanics. 6: 271-278. DOI: 10.1007/Bf00370107  0.539
1990 Ervin VJ, Stephan EP, El-Seoud SA. An improved boundary element method for the charge density of a thin electrified plate in ℝ3 Mathematical Methods in the Applied Sciences. 13: 291-303. DOI: 10.1002/Mma.1670130403  0.519
1990 Ervin VJ, Stephan EP. A boundary element Galerkin method for a hypersingular integral equation on open surfaces Mathematical Methods in the Applied Sciences. 13: 281-289. DOI: 10.1002/Mma.1670130402  0.52
1988 Stephan EP, Costabel M, Ervin VJ. On the convergence of collocation methods for symms integral equation on open curves Mathematics of Computation. 51: 167-179. DOI: 10.1090/S0025-5718-1988-0942148-1  0.399
1988 Ervin V, Layton W. A second order accurate, positive scheme for singularly perturbed boundary value problems Computational Mechanics. 3: 115-128. DOI: 10.1007/Bf00317059  0.492
1987 Ervin V, Layton W. On the approximation of derivatives of singularly perturbed boundary value problems Siam Journal On Scientific and Statistical Computing. 8: 265-277. DOI: 10.1137/0908034  0.368
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