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ORCIDTodd Arbogast
Person information
- affiliation: University of Texas at Austin, USA
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2020 – today
- 2023
[j31]Jichun Li
, Li Zhu, Todd Arbogast:
A new time-domain finite element method for simulating surface plasmon polaritons on graphene sheets. Comput. Math. Appl. 142: 268-282 (2023)- [j30]Chieh-Sen Huang, Todd Arbogast, Chenyu Tian:
Multidimensional WENO-AO Reconstructions Using a Simplified Smoothness Indicator and Applications to Conservation Laws. J. Sci. Comput. 97(1): 8 (2023) - [j29]Todd Arbogast, Chuning Wang:
Direct serendipity and mixed finite elements on convex polygons. Numer. Algorithms 92(2): 1451-1483 (2023) - 2022
- [j28]Todd Arbogast, Chieh-Sen Huang, Ming-Hsien Kuo:
RBF WENO Reconstructions with Adaptive Order and Applications to Conservation Laws. J. Sci. Comput. 91(2): 51 (2022) - [j27]Todd Arbogast, Zhen Tao, Chuning Wang:
Direct serendipity and mixed finite elements on convex quadrilaterals. Numerische Mathematik 150(4): 929-974 (2022) - [i2]Todd Arbogast, Chuning Wang:
Direct Serendipity and Mixed Finite Elements on Convex Polygons. CoRR abs/2202.11229 (2022)
2010 – 2019
- 2019
- [j26]Todd Arbogast, Chieh-Sen Huang, Xikai Zhao:
Finite volume WENO schemes for nonlinear parabolic problems with degenerate diffusion on non-uniform meshes. J. Comput. Phys. 399 (2019) - [j25]Todd Arbogast, Zhen Tao:
Construction of \(H({\mathrm{div}})\) -conforming mixed finite elements on cuboidal hexahedra. Numerische Mathematik 142(1): 1-32 (2019) - 2018
- [j24]Chieh-Sen Huang, Todd Arbogast:
An Implicit Eulerian-Lagrangian WENO3 Scheme for Nonlinear Conservation Laws. J. Sci. Comput. 77(2): 1084-1114 (2018) - [j23]Todd Arbogast, Chieh-Sen Huang, Xikai Zhao:
Accuracy of WENO and Adaptive Order WENO Reconstructions for Solving Conservation Laws. SIAM J. Numer. Anal. 56(3): 1818-1847 (2018) - [i1]Shinhoo Kang, Tan Bui-Thanh, Todd Arbogast:
A Hybridized Discontinuous Galerkin Method for A Linear Degenerate Elliptic Equation Arising from Two-Phase Mixtures. CoRR abs/1808.07044 (2018) - 2017
- [j22]Todd Arbogast, Marc Andre Hesse, Abraham L. Taicher:
Mixed Methods for Two-Phase Darcy-Stokes Mixtures of Partially Melted Materials with Regions of Zero Porosity. SIAM J. Sci. Comput. 39(2) (2017) - 2016
- [j21]Chieh-Sen Huang, Todd Arbogast, Chen-Hui Hung:
A semi-Lagrangian finite difference WENO scheme for scalar nonlinear conservation laws. J. Comput. Phys. 322: 559-585 (2016) - [j20]Todd Arbogast, Abraham L. Taicher:
A Linear Degenerate Elliptic Equation Arising from Two-Phase Mixtures. SIAM J. Numer. Anal. 54(5): 3105-3122 (2016) - [j19]Todd Arbogast, Maicon R. Correa:
Two Families of H(div) Mixed Finite Elements on Quadrilaterals of Minimal Dimension. SIAM J. Numer. Anal. 54(6): 3332-3356 (2016) - 2015
- [j18]Chieh-Sen Huang, Feng Xiao, Todd Arbogast:
Fifth Order Multi-moment WENO Schemes for Hyperbolic Conservation Laws. J. Sci. Comput. 64(2): 477-507 (2015) - [j17]Todd Arbogast, Donald J. Estep, Brendan Sheehan, Simon Tavener:
A Posteriori Error Estimates for Mixed Finite Element and Finite Volume Methods for Parabolic Problems Coupled through a Boundary. SIAM/ASA J. Uncertain. Quantification 3(1): 169-198 (2015) - 2014
- [j16]Chieh-Sen Huang, Todd Arbogast, Chen-Hui Hung:
A re-averaged WENO reconstruction and a third order CWENO scheme for hyperbolic conservation laws. J. Comput. Phys. 262: 291-312 (2014) - 2013
- [j15]Todd Arbogast, Hailong Xiao:
A Multiscale Mortar Mixed Space Based on Homogenization for Heterogeneous Elliptic Problems. SIAM J. Numer. Anal. 51(1): 377-399 (2013) - 2012
- [j14]Chieh-Sen Huang, Todd Arbogast, Jianxian Qiu:
An Eulerian-Lagrangian WENO finite volume scheme for advection problems. J. Comput. Phys. 231(11): 4028-4052 (2012) - [j13]Todd Arbogast, Chieh-Sen Huang, Chen-Hui Hung:
A Fully Conservative Eulerian-Lagrangian Stream-Tube Method for Advection-Diffusion Problems. SIAM J. Sci. Comput. 34(4) (2012) - [j12]Todd Arbogast, Chieh-Sen Huang, Thomas F. Russell:
A Locally Conservative Eulerian-Lagrangian Method for a Model Two-Phase Flow Problem in a One-Dimensional Porous Medium. SIAM J. Sci. Comput. 34(4) (2012) - 2011
- [j11]Todd Arbogast:
Homogenization-Based Mixed Multiscale Finite Elements for Problems with Anisotropy. Multiscale Model. Simul. 9(2): 624-653 (2011) - [j10]Todd Arbogast, Wen-Hao Wang:
Stability, Monotonicity, Maximum and Minimum Principles, and Implementation of the Volume Corrected Characteristic Method. SIAM J. Sci. Comput. 33(4): 1549-1573 (2011) - 2010
- [j9]Todd Arbogast, Chieh-Sen Huang:
A fully conservative Eulerian-Lagrangian method for a convection-diffusion problem in a solenoidal field. J. Comput. Phys. 229(9): 3415-3427 (2010) - [j8]Todd Arbogast, Wen-Hao Wang:
Convergence of a Fully Conservative Volume Corrected Characteristic Method for Transport Problems. SIAM J. Numer. Anal. 48(3): 797-823 (2010)
2000 – 2009
- 2007
- [j7]Todd Arbogast, Gergina Pencheva, Mary F. Wheeler, Ivan Yotov:
A Multiscale Mortar Mixed Finite Element Method. Multiscale Model. Simul. 6(1): 319-346 (2007) - 2006
- [j6]Todd Arbogast, Kirsten J. Boyd:
Subgrid Upscaling and Mixed Multiscale Finite Elements. SIAM J. Numer. Anal. 44(3): 1150-1171 (2006) - [j5]Todd Arbogast, Chieh-Sen Huang:
A Fully Mass and Volume Conserving Implementation of a Characteristic Method for Transport Problems. SIAM J. Sci. Comput. 28(6): 2001-2022 (2006) - 2005
- [j4]Todd Arbogast, Mary F. Wheeler:
A Family of Rectangular Mixed Elements with a Continuous Flux for Second Order Elliptic Problems. SIAM J. Numer. Anal. 42(5): 1914-1931 (2005) - 2004
- [j3]Todd Arbogast:
Analysis of a Two-Scale, Locally Conservative Subgrid Upscaling for Elliptic Problems. SIAM J. Numer. Anal. 42(2): 576-598 (2004) - 2000
- [j2]Todd Arbogast, Lawrence C. Cowsar, Mary F. Wheeler, Ivan Yotov:
Mixed Finite Element Methods on Nonmatching Multiblock Grids. SIAM J. Numer. Anal. 37(4): 1295-1315 (2000)
1990 – 1999
- 1998
- [j1]Todd Arbogast, Clint Dawson, Philip T. Keenan, Mary F. Wheeler, Ivan Yotov:
Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry. SIAM J. Sci. Comput. 19(2): 404-425 (1998)
Coauthor Index
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