Todd Arbogast

Publication Activity (10 Years)

Years Active: 1998-2023
Publications (10 Years): 15

Top Topics

Conservation Laws

Error Estimates

Top Venues

SIAM J. Numer. Anal.

J. Sci. Comput.

J. Comput. Phys.

Publications

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 (2023)
Todd Arbogast, Chuning Wang
Direct serendipity and mixed finite elements on convex polygons. Numer. Algorithms 92 (2) (2023)
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) (2023)
Todd Arbogast, Chuning Wang
Direct Serendipity and Mixed Finite Elements on Convex Polygons. CoRR (2022)
Todd Arbogast, Chieh-Sen Huang, Ming-Hsien Kuo
RBF WENO Reconstructions with Adaptive Order and Applications to Conservation Laws. J. Sci. Comput. 91 (2) (2022)
Todd Arbogast, Zhen Tao, Chuning Wang
Direct serendipity and mixed finite elements on convex quadrilaterals. Numerische Mathematik 150 (4) (2022)
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)
Todd Arbogast, Zhen Tao
Construction of \(H({\mathrm{div}})\) -conforming mixed finite elements on cuboidal hexahedra. Numerische Mathematik 142 (1) (2019)
Chieh-Sen Huang, Todd Arbogast
An Implicit Eulerian-Lagrangian WENO3 Scheme for Nonlinear Conservation Laws. J. Sci. Comput. 77 (2) (2018)
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) (2018)
Shinhoo Kang, Tan Bui-Thanh, Todd Arbogast
A Hybridized Discontinuous Galerkin Method for A Linear Degenerate Elliptic Equation Arising from Two-Phase Mixtures. CoRR (2018)
Todd Arbogast, Marc A. 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)
Todd Arbogast, Abraham L. Taicher
A Linear Degenerate Elliptic Equation Arising from Two-Phase Mixtures. SIAM J. Numer. Anal. 54 (5) (2016)
Todd Arbogast, Maicon R. Correa
Two Families of H(div) Mixed Finite Elements on Quadrilaterals of Minimal Dimension. SIAM J. Numer. Anal. 54 (6) (2016)
Chieh-Sen Huang, Todd Arbogast, Chen-Hui Hung
A semi-Lagrangian finite difference WENO scheme for scalar nonlinear conservation laws. J. Comput. Phys. 322 (2016)
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) (2015)
Chieh-Sen Huang, Feng Xiao, Todd Arbogast
Fifth Order Multi-moment WENO Schemes for Hyperbolic Conservation Laws. J. Sci. Comput. 64 (2) (2015)
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 (2014)
Todd Arbogast, Hailong Xiao
A Multiscale Mortar Mixed Space Based on Homogenization for Heterogeneous Elliptic Problems. SIAM J. Numer. Anal. 51 (1) (2013)
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)
Chieh-Sen Huang, Todd Arbogast, Jianxian Qiu
An Eulerian-Lagrangian WENO finite volume scheme for advection problems. J. Comput. Phys. 231 (11) (2012)
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)
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) (2011)
Todd Arbogast
Homogenization-Based Mixed Multiscale Finite Elements for Problems with Anisotropy. Multiscale Model. Simul. 9 (2) (2011)
Todd Arbogast, Wen-Hao Wang
Convergence of a Fully Conservative Volume Corrected Characteristic Method for Transport Problems. SIAM J. Numer. Anal. 48 (3) (2010)
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) (2010)
Todd Arbogast, Gergina Pencheva, Mary F. Wheeler, Ivan Yotov
A Multiscale Mortar Mixed Finite Element Method. Multiscale Model. Simul. 6 (1) (2007)
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) (2006)
Todd Arbogast, Kirsten J. Boyd
Subgrid Upscaling and Mixed Multiscale Finite Elements. SIAM J. Numer. Anal. 44 (3) (2006)
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) (2005)
Todd Arbogast
Analysis of a Two-Scale, Locally Conservative Subgrid Upscaling for Elliptic Problems. SIAM J. Numer. Anal. 42 (2) (2004)
Todd Arbogast, Lawrence C. Cowsar, Mary F. Wheeler, Ivan Yotov
Mixed Finite Element Methods on Nonmatching Multiblock Grids. SIAM J. Numer. Anal. 37 (4) (2000)
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) (1998)