Xiaobing Feng

Affiliations: 
The University of Tennessee, Knoxville, TN, United States 
Area:
Mathematics
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"Xiaobing Feng"
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Publications

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Feng X, Jiang T. (2024) Mathematical and numerical analysis for PDE systems modeling intravascular drug release from arterial stents and transport in arterial tissue. Mathematical Biosciences and Engineering : Mbe. 21: 5634-5657
Feng X, Li Y, Zhang Y. (2020) A Fully Discrete Mixed Finite Element Method for the Stochastic Cahn–Hilliard Equation with Gradient-Type Multiplicative Noise Journal of Scientific Computing. 83: 23
Feng X, Lewis T, Schnake S. (2019) Analysis of the vanishing moment method and its finite element approximations for second-order linear elliptic PDEs in non-divergence form Methods and Applications of Analysis. 26: 167-194
Feng X, Lin J, Lorton C. (2019) A Multi-modes Monte Carlo Interior Penalty Discontinuous Galerkin Method for the Time-Harmonic Maxwell’s Equations with Random Coefficients Journal of Scientific Computing. 80: 1498-1528
Feng X, Schnake S. (2018) An Enhanced Finite Element Method for a Class of Variational Problems Exhibiting the Lavrentiev Gap Phenomenon Communications in Computational Physics. 24
Feng X, Ge Z, Li Y. (2018) Analysis of a multiphysics finite element method for a poroelasticity model Ima Journal of Numerical Analysis. 38: 330-359
Feng X, Lewis T. (2018) Nonstandard Local Discontinuous Galerkin Methods for Fully Nonlinear Second Order Elliptic and Parabolic Equations in High Dimensions Journal of Scientific Computing. 77: 1534-1565
Feng X, Neilan M, Schnake S. (2018) Interior Penalty Discontinuous Galerkin Methods for Second Order Linear Non-Divergence Form Elliptic PDEs Journal of Scientific Computing. 74: 1651-1676
Feng X, Jensen M. (2017) Convergent Semi-Lagrangian Methods for the Monge--Ampère Equation on Unstructured Grids Siam Journal On Numerical Analysis. 55: 691-712
Feng X, Li Y, Zhang Y. (2017) Finite Element Methods for the Stochastic Allen--Cahn Equation with Gradient-type Multiplicative Noise Siam Journal On Numerical Analysis. 55: 194-216
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