Todd Arbogast

Orcid: 0000-0001-9692-5478

Affiliations:
  • University of Texas at Austin, USA


According to our database1, Todd Arbogast authored at least 32 papers between 1998 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
Multidimensional WENO-AO Reconstructions Using a Simplified Smoothness Indicator and Applications to Conservation Laws.
J. Sci. Comput., October, 2023

Direct serendipity and mixed finite elements on convex polygons.
Numer. Algorithms, 2023

A new time-domain finite element method for simulating surface plasmon polaritons on graphene sheets.
Comput. Math. Appl., 2023

2022
Direct serendipity and mixed finite elements on convex quadrilaterals.
Numerische Mathematik, 2022

RBF WENO Reconstructions with Adaptive Order and Applications to Conservation Laws.
J. Sci. Comput., 2022

2019
Construction of \(H({\mathrm{div}})\) -conforming mixed finite elements on cuboidal hexahedra.
Numerische Mathematik, 2019

Finite volume WENO schemes for nonlinear parabolic problems with degenerate diffusion on non-uniform meshes.
J. Comput. Phys., 2019

2018
Accuracy of WENO and Adaptive Order WENO Reconstructions for Solving Conservation Laws.
SIAM J. Numer. Anal., 2018

An Implicit Eulerian-Lagrangian WENO3 Scheme for Nonlinear Conservation Laws.
J. Sci. Comput., 2018

A Hybridized Discontinuous Galerkin Method for A Linear Degenerate Elliptic Equation Arising from Two-Phase Mixtures.
CoRR, 2018

2017
Mixed Methods for Two-Phase Darcy-Stokes Mixtures of Partially Melted Materials with Regions of Zero Porosity.
SIAM J. Sci. Comput., 2017

2016
A Linear Degenerate Elliptic Equation Arising from Two-Phase Mixtures.
SIAM J. Numer. Anal., 2016

Two Families of H(div) Mixed Finite Elements on Quadrilaterals of Minimal Dimension.
SIAM J. Numer. Anal., 2016

A semi-Lagrangian finite difference WENO scheme for scalar nonlinear conservation laws.
J. Comput. Phys., 2016

2015
A Posteriori Error Estimates for Mixed Finite Element and Finite Volume Methods for Parabolic Problems Coupled through a Boundary.
SIAM/ASA J. Uncertain. Quantification, 2015

Fifth Order Multi-moment WENO Schemes for Hyperbolic Conservation Laws.
J. Sci. Comput., 2015

2014
A re-averaged WENO reconstruction and a third order CWENO scheme for hyperbolic conservation laws.
J. Comput. Phys., 2014

2013
A Multiscale Mortar Mixed Space Based on Homogenization for Heterogeneous Elliptic Problems.
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.
SIAM J. Sci. Comput., 2012

A Fully Conservative Eulerian-Lagrangian Stream-Tube Method for Advection-Diffusion Problems.
SIAM J. Sci. Comput., 2012

An Eulerian-Lagrangian WENO finite volume scheme for advection problems.
J. Comput. Phys., 2012

2011
Stability, Monotonicity, Maximum and Minimum Principles, and Implementation of the Volume Corrected Characteristic Method.
SIAM J. Sci. Comput., 2011

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

2010
Convergence of a Fully Conservative Volume Corrected Characteristic Method for Transport Problems.
SIAM J. Numer. Anal., 2010

A fully conservative Eulerian-Lagrangian method for a convection-diffusion problem in a solenoidal field.
J. Comput. Phys., 2010

2007
A Multiscale Mortar Mixed Finite Element Method.
Multiscale Model. Simul., 2007

2006
A Fully Mass and Volume Conserving Implementation of a Characteristic Method for Transport Problems.
SIAM J. Sci. Comput., 2006

Subgrid Upscaling and Mixed Multiscale Finite Elements.
SIAM J. Numer. Anal., 2006

2005
A Family of Rectangular Mixed Elements with a Continuous Flux for Second Order Elliptic Problems.
SIAM J. Numer. Anal., 2005

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

2000
Mixed Finite Element Methods on Nonmatching Multiblock Grids.
SIAM J. Numer. Anal., 2000

1998
Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry.
SIAM J. Sci. Comput., 1998


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