Todd Arbogast

According to our database, Todd Arbogast authored at least 33 papers between 1998 and 2025.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2025

Further Studies on the Self-Adaptive Theta Scheme for Conservation Laws.

Todd Arbogast, Chieh-Sen Huang, Danielle N. King

J. Sci. Comput., July, 2025

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., October, 2023

Direct serendipity and mixed finite elements on convex polygons.

Todd Arbogast, Chuning Wang

Numer. Algorithms, 2023

A new time-domain finite element method for simulating surface plasmon polaritons on graphene sheets.

Jichun Li, Li Zhu, Todd Arbogast

Comput. Math. Appl., 2023

2022

Direct serendipity and mixed finite elements on convex quadrilaterals.

Todd Arbogast, Zhen Tao, Chuning Wang

Numerische Mathematik, 2022

RBF WENO Reconstructions with Adaptive Order and Applications to Conservation Laws.

Todd Arbogast, Chieh-Sen Huang, Ming-Hsien Kuo

J. Sci. Comput., 2022

2019

Construction of \(H({\mathrm{div}})\) -conforming mixed finite elements on cuboidal hexahedra.

Todd Arbogast, Zhen Tao

Numerische Mathematik, 2019

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

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

An Implicit Eulerian-Lagrangian WENO3 Scheme for Nonlinear Conservation Laws.

Chieh-Sen Huang, Todd Arbogast

J. Sci. Comput., 2018

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

2017

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

2016

A Linear Degenerate Elliptic Equation Arising from Two-Phase Mixtures.

Todd Arbogast, Abraham L. Taicher

SIAM J. Numer. Anal., 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 semi-Lagrangian finite difference WENO scheme for scalar nonlinear conservation laws.

Chieh-Sen Huang, Todd Arbogast, Chen-Hui Hung

J. Comput. Phys., 2016

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

Fifth Order Multi-moment WENO Schemes for Hyperbolic Conservation Laws.

Chieh-Sen Huang, Feng Xiao, Todd Arbogast

J. Sci. Comput., 2015

2014

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

2013

A Multiscale Mortar Mixed Space Based on Homogenization for Heterogeneous Elliptic Problems.

Todd Arbogast, Hailong Xiao

SIAM J. Numer. Anal., 2013

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 Fully Conservative Eulerian-Lagrangian Stream-Tube Method for Advection-Diffusion Problems.

Todd Arbogast, Chieh-Sen Huang, Chen-Hui Hung

SIAM J. Sci. Comput., 2012

An Eulerian-Lagrangian WENO finite volume scheme for advection problems.

Chieh-Sen Huang, Todd Arbogast, Jianxian Qiu

J. Comput. Phys., 2012

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

Homogenization-Based Mixed Multiscale Finite Elements for Problems with Anisotropy.

Todd Arbogast

Multiscale Model. Simul., 2011

2010

Convergence of a Fully Conservative Volume Corrected Characteristic Method for Transport Problems.

Todd Arbogast, Wen-Hao Wang

SIAM J. Numer. Anal., 2010

A fully conservative Eulerian-Lagrangian method for a convection-diffusion problem in a solenoidal field.

Todd Arbogast, Chieh-Sen Huang

J. Comput. Phys., 2010

2007

A Multiscale Mortar Mixed Finite Element Method.

Todd Arbogast, Gergina Pencheva, Mary F. Wheeler, Ivan Yotov

Multiscale Model. Simul., 2007

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

Subgrid Upscaling and Mixed Multiscale Finite Elements.

Todd Arbogast, Kirsten J. Boyd

SIAM J. Numer. Anal., 2006

2005

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

2004

Analysis of a Two-Scale, Locally Conservative Subgrid Upscaling for Elliptic Problems.

Todd Arbogast

SIAM J. Numer. Anal., 2004

2000

Mixed Finite Element Methods on Nonmatching Multiblock Grids.

Todd Arbogast, Lawrence C. Cowsar, Mary F. Wheeler, Ivan Yotov

SIAM J. Numer. Anal., 2000

1998

Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry.

Todd Arbogast, Clint Dawson, Philip T. Keenan, Mary F. Wheeler, Ivan Yotov

SIAM J. Sci. Comput., 1998