Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry. - Todd Arbogast; Clint Dawson 001; Philip T. Keenan; Mary F. Wheeler; Ivan Yotov (SIAM J. Sci. Comput., 1998)

Mixed Finite Element Methods on Nonmatching Multiblock Grids. - Todd Arbogast; Lawrence C. Cowsar; Mary F. Wheeler; Ivan Yotov (SIAM J. Numer. Anal., 2000)

Analysis of a Two-Scale, Locally Conservative Subgrid Upscaling for Elliptic Problems. - Todd Arbogast (SIAM J. Numer. Anal., 2004)

A Family of Rectangular Mixed Elements with a Continuous Flux for Second Order Elliptic Problems. - Todd Arbogast; Mary F. Wheeler (SIAM J. Numer. Anal., 2005)

Subgrid Upscaling and Mixed Multiscale Finite Elements. - Todd Arbogast; Kirsten J. Boyd (SIAM J. Numer. Anal., 2006)

A Fully Mass and Volume Conserving Implementation of a Characteristic Method for Transport Problems. - Todd Arbogast; Chieh-Sen Huang (SIAM J. Sci. Comput., 2006)

A Multiscale Mortar Mixed Finite Element Method. - Todd Arbogast; Gergina Pencheva; Mary F. Wheeler; Ivan Yotov (Multiscale Model. Simul., 2007)

A fully conservative Eulerian-Lagrangian method for a convection-diffusion problem in a solenoidal field. - Todd Arbogast; Chieh-Sen Huang (J. Comput. Phys., 2010)

Convergence of a Fully Conservative Volume Corrected Characteristic Method for Transport Problems. - Todd Arbogast; Wen-Hao Wang (SIAM J. Numer. Anal., 2010)

Homogenization-Based Mixed Multiscale Finite Elements for Problems with Anisotropy. - Todd Arbogast (Multiscale Model. Simul., 2011)

Stability, Monotonicity, Maximum and Minimum Principles, and Implementation of the Volume Corrected Characteristic Method. - Todd Arbogast; Wen-Hao Wang (SIAM J. Sci. Comput., 2011)

An Eulerian-Lagrangian WENO finite volume scheme for advection problems. - Chieh-Sen Huang; Todd Arbogast; Jianxian Qiu (J. Comput. Phys., 2012)

A Fully Conservative Eulerian-Lagrangian Stream-Tube Method for Advection-Diffusion Problems. - Todd Arbogast; Chieh-Sen Huang; Chen-Hui Hung (SIAM J. Sci. Comput., 2012)

A Locally Conservative Eulerian-Lagrangian Method for a Model Two-Phase Flow Problem in a One-Dimensional Porous Medium. - Todd Arbogast; Chieh-Sen Huang; Thomas F. Russell (SIAM J. Sci. Comput., 2012)

A Multiscale Mortar Mixed Space Based on Homogenization for Heterogeneous Elliptic Problems. - Todd Arbogast; Hailong Xiao (SIAM J. Numer. Anal., 2013)

A re-averaged WENO reconstruction and a third order CWENO scheme for hyperbolic conservation laws. - Chieh-Sen Huang; Todd Arbogast; Chen-Hui Hung (J. Comput. Phys., 2014)

Fifth Order Multi-moment WENO Schemes for Hyperbolic Conservation Laws. - Chieh-Sen Huang; Feng Xiao 001; Todd Arbogast (J. Sci. Comput., 2015)

A Posteriori Error Estimates for Mixed Finite Element and Finite Volume Methods for Parabolic Problems Coupled through a Boundary. - Todd Arbogast; Donald J. Estep; Brendan Sheehan; Simon Tavener (SIAM/ASA J. Uncertain. Quantification, 2015)

A semi-Lagrangian finite difference WENO scheme for scalar nonlinear conservation laws. - Chieh-Sen Huang; Todd Arbogast; Chen-Hui Hung (J. Comput. Phys., 2016)

Two Families of H(div) Mixed Finite Elements on Quadrilaterals of Minimal Dimension. - Todd Arbogast; Maicon R. Correa (SIAM J. Numer. Anal., 2016)

A Linear Degenerate Elliptic Equation Arising from Two-Phase Mixtures. - Todd Arbogast; Abraham L. Taicher (SIAM J. Numer. Anal., 2016)

Mixed Methods for Two-Phase Darcy-Stokes Mixtures of Partially Melted Materials with Regions of Zero Porosity. - Todd Arbogast; Marc Andre Hesse; Abraham L. Taicher (SIAM J. Sci. Comput., 2017)

A Hybridized Discontinuous Galerkin Method for A Linear Degenerate Elliptic Equation Arising from Two-Phase Mixtures. - Shinhoo Kang; Tan Bui-Thanh; Todd Arbogast (CoRR, 2018)

An Implicit Eulerian-Lagrangian WENO3 Scheme for Nonlinear Conservation Laws. - Chieh-Sen Huang; Todd Arbogast (J. Sci. Comput., 2018)

Accuracy of WENO and Adaptive Order WENO Reconstructions for Solving Conservation Laws. - Todd Arbogast; Chieh-Sen Huang; Xikai Zhao (SIAM J. Numer. Anal., 2018)

Finite volume WENO schemes for nonlinear parabolic problems with degenerate diffusion on non-uniform meshes. - Todd Arbogast; Chieh-Sen Huang; Xikai Zhao (J. Comput. Phys., 2019)

Construction of (H({ mathrm{div}}) ) -conforming mixed finite elements on cuboidal hexahedra. - Todd Arbogast; Zhen Tao (Numerische Mathematik, 2019)

RBF WENO Reconstructions with Adaptive Order and Applications to Conservation Laws. - Todd Arbogast; Chieh-Sen Huang; Ming-Hsien Kuo (J. Sci. Comput., 2022)

Direct serendipity and mixed finite elements on convex quadrilaterals. - Todd Arbogast; Zhen Tao; Chuning Wang (Numerische Mathematik, 2022)

A new time-domain finite element method for simulating surface plasmon polaritons on graphene sheets. - Jichun Li 001; Li Zhu; Todd Arbogast (Comput. Math. Appl., 2023)

Direct serendipity and mixed finite elements on convex polygons. - Todd Arbogast; Chuning Wang (Numer. Algorithms, 2023)

Multidimensional WENO-AO Reconstructions Using a Simplified Smoothness Indicator and Applications to Conservation Laws. - Chieh-Sen Huang; Todd Arbogast; Chenyu Tian (J. Sci. Comput., 2023)

Further Studies on the Self-Adaptive Theta Scheme for Conservation Laws. - Todd Arbogast; Chieh-Sen Huang; Danielle N. King (J. Sci. Comput., 2025)