Todd Arbogast

35 papers Journal 35
YearRankTypeTitle / Venue / Authors
2026 J jnl
J Tinsley Oden's Vision for an Interdisciplinary Graduate Program in Computational Engineering and Science.
Comput. Sci. Eng.
Todd Arbogast
2025 J jnl
Further Studies on the Self-Adaptive Theta Scheme for Conservation Laws.
J. Sci. Comput.
Todd Arbogast, Chieh-Sen Huang, Danielle N. King
2023 J jnl
A new time-domain finite element method for simulating surface plasmon polaritons on graphene sheets.
Comput. Math. Appl.
Jichun Li, Li Zhu, Todd Arbogast
2023 J jnl
Direct serendipity and mixed finite elements on convex polygons.
Numer. Algorithms
Todd Arbogast, Chuning Wang
2023 J jnl
Multidimensional WENO-AO Reconstructions Using a Simplified Smoothness Indicator and Applications to Conservation Laws.
J. Sci. Comput.
Chieh-Sen Huang, Todd Arbogast, Chenyu Tian
2022 J jnl
Direct Serendipity and Mixed Finite Elements on Convex Polygons.
CoRR
Todd Arbogast, Chuning Wang
2022 J jnl
Direct serendipity and mixed finite elements on convex quadrilaterals.
Numerische Mathematik
Todd Arbogast, Zhen Tao, Chuning Wang
2022 J jnl
RBF WENO Reconstructions with Adaptive Order and Applications to Conservation Laws.
J. Sci. Comput.
Todd Arbogast, Chieh-Sen Huang, Ming-Hsien Kuo
2019 J jnl
Construction of \(H({\mathrm{div}})\) -conforming mixed finite elements on cuboidal hexahedra.
Numerische Mathematik
Todd Arbogast, Zhen Tao
2019 J jnl
Finite volume WENO schemes for nonlinear parabolic problems with degenerate diffusion on non-uniform meshes.
J. Comput. Phys.
Todd Arbogast, Chieh-Sen Huang, Xikai Zhao
2018 J jnl
A Hybridized Discontinuous Galerkin Method for A Linear Degenerate Elliptic Equation Arising from Two-Phase Mixtures.
CoRR
Shinhoo Kang, Tan Bui-Thanh, Todd Arbogast
2018 J jnl
Accuracy of WENO and Adaptive Order WENO Reconstructions for Solving Conservation Laws.
SIAM J. Numer. Anal.
Todd Arbogast, Chieh-Sen Huang, Xikai Zhao
2018 J jnl
An Implicit Eulerian-Lagrangian WENO3 Scheme for Nonlinear Conservation Laws.
J. Sci. Comput.
Chieh-Sen Huang, Todd Arbogast
2017 J jnl
Mixed Methods for Two-Phase Darcy-Stokes Mixtures of Partially Melted Materials with Regions of Zero Porosity.
SIAM J. Sci. Comput.
Todd Arbogast, Marc Andre Hesse, Abraham L. Taicher
2016 J jnl
A Linear Degenerate Elliptic Equation Arising from Two-Phase Mixtures.
SIAM J. Numer. Anal.
Todd Arbogast, Abraham L. Taicher
2016 J jnl
A semi-Lagrangian finite difference WENO scheme for scalar nonlinear conservation laws.
J. Comput. Phys.
Chieh-Sen Huang, Todd Arbogast, Chen-Hui Hung
2016 J jnl
Two Families of H(div) Mixed Finite Elements on Quadrilaterals of Minimal Dimension.
SIAM J. Numer. Anal.
Todd Arbogast, Maicon R. Correa
2015 J jnl
A Posteriori Error Estimates for Mixed Finite Element and Finite Volume Methods for Parabolic Problems Coupled through a Boundary.
SIAM/ASA J. Uncertain. Quantification
Todd Arbogast, Donald J. Estep, Brendan Sheehan, Simon Tavener
2015 J jnl
Fifth Order Multi-moment WENO Schemes for Hyperbolic Conservation Laws.
J. Sci. Comput.
Chieh-Sen Huang, Feng Xiao, Todd Arbogast
2014 J jnl
A re-averaged WENO reconstruction and a third order CWENO scheme for hyperbolic conservation laws.
J. Comput. Phys.
Chieh-Sen Huang, Todd Arbogast, Chen-Hui Hung
2013 J jnl
A Multiscale Mortar Mixed Space Based on Homogenization for Heterogeneous Elliptic Problems.
SIAM J. Numer. Anal.
Todd Arbogast, Hailong Xiao
2012 J jnl
A Fully Conservative Eulerian-Lagrangian Stream-Tube Method for Advection-Diffusion Problems.
SIAM J. Sci. Comput.
Todd Arbogast, Chieh-Sen Huang, Chen-Hui Hung
2012 J jnl
A Locally Conservative Eulerian-Lagrangian Method for a Model Two-Phase Flow Problem in a One-Dimensional Porous Medium.
SIAM J. Sci. Comput.
Todd Arbogast, Chieh-Sen Huang, Thomas F. Russell
2012 J jnl
An Eulerian-Lagrangian WENO finite volume scheme for advection problems.
J. Comput. Phys.
Chieh-Sen Huang, Todd Arbogast, Jianxian Qiu
2011 J jnl
Homogenization-Based Mixed Multiscale Finite Elements for Problems with Anisotropy.
Multiscale Model. Simul.
Todd Arbogast
2011 J jnl
Stability, Monotonicity, Maximum and Minimum Principles, and Implementation of the Volume Corrected Characteristic Method.
SIAM J. Sci. Comput.
Todd Arbogast, Wen-Hao Wang
2010 J jnl
A fully conservative Eulerian-Lagrangian method for a convection-diffusion problem in a solenoidal field.
J. Comput. Phys.
Todd Arbogast, Chieh-Sen Huang
2010 J jnl
Convergence of a Fully Conservative Volume Corrected Characteristic Method for Transport Problems.
SIAM J. Numer. Anal.
Todd Arbogast, Wen-Hao Wang
2007 J jnl
A Multiscale Mortar Mixed Finite Element Method.
Multiscale Model. Simul.
Todd Arbogast, Gergina Pencheva, Mary F. Wheeler, Ivan Yotov
2006 J jnl
A Fully Mass and Volume Conserving Implementation of a Characteristic Method for Transport Problems.
SIAM J. Sci. Comput.
Todd Arbogast, Chieh-Sen Huang
2006 J jnl
Subgrid Upscaling and Mixed Multiscale Finite Elements.
SIAM J. Numer. Anal.
Todd Arbogast, Kirsten J. Boyd
2005 J jnl
A Family of Rectangular Mixed Elements with a Continuous Flux for Second Order Elliptic Problems.
SIAM J. Numer. Anal.
Todd Arbogast, Mary F. Wheeler
2004 J jnl
Analysis of a Two-Scale, Locally Conservative Subgrid Upscaling for Elliptic Problems.
SIAM J. Numer. Anal.
Todd Arbogast
2000 J jnl
Mixed Finite Element Methods on Nonmatching Multiblock Grids.
SIAM J. Numer. Anal.
Todd Arbogast, Lawrence C. Cowsar, Mary F. Wheeler, Ivan Yotov
1998 J jnl
Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry.
SIAM J. Sci. Comput.
Todd Arbogast, Clint Dawson, Philip T. Keenan, Mary F. Wheeler, Ivan Yotov