Todd Arbogast

5.1k total citations · 1 hit paper
96 papers, 3.6k citations indexed

About

Todd Arbogast is a scholar working on Computational Mechanics, Computational Theory and Mathematics and Mechanics of Materials. According to data from OpenAlex, Todd Arbogast has authored 96 papers receiving a total of 3.6k indexed citations (citations by other indexed papers that have themselves been cited), including 69 papers in Computational Mechanics, 45 papers in Computational Theory and Mathematics and 18 papers in Mechanics of Materials. Recurrent topics in Todd Arbogast's work include Advanced Numerical Methods in Computational Mathematics (56 papers), Advanced Mathematical Modeling in Engineering (44 papers) and Computational Fluid Dynamics and Aerodynamics (26 papers). Todd Arbogast is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (56 papers), Advanced Mathematical Modeling in Engineering (44 papers) and Computational Fluid Dynamics and Aerodynamics (26 papers). Todd Arbogast collaborates with scholars based in United States, Taiwan and Brazil. Todd Arbogast's co-authors include Mary F. Wheeler, Ivan Yotov, Jim Douglas, Ulrich Hornung, Mary F. Wheeler, Chieh‐Sen Huang, Steven L. Bryant, Zhangxin Chen, Gergina Pencheva and Lawrence C. Cowsar and has published in prestigious journals such as Journal of Computational Physics, Computer Methods in Applied Mechanics and Engineering and Mathematics of Computation.

In The Last Decade

Todd Arbogast

93 papers receiving 3.3k citations

Hit Papers

Derivation of the Double Porosity Model of Single Phase F... 1990 2026 2002 2014 1990 100 200 300 400
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
    1990 460 citations Todd Arbogast, Jim Douglas et al. profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Todd Arbogast United States 29 2.7k 2.0k 1.4k 480 434 96 3.6k
Ivan Yotov United States 30 2.9k 1.1× 1.7k 0.9× 1.1k 0.8× 278 0.6× 292 0.7× 82 3.5k
Robert Eymard France 34 2.2k 0.8× 1.0k 0.5× 433 0.3× 273 0.6× 401 0.9× 152 3.5k
Mary F. Wheeler United States 40 5.0k 1.8× 2.2k 1.1× 2.6k 1.8× 478 1.0× 556 1.3× 107 6.3k
Konstantin Lipnikov United States 31 3.1k 1.1× 1.0k 0.5× 1.2k 0.8× 171 0.4× 195 0.4× 94 3.6k
Yalchin Efendiev United States 45 4.6k 1.7× 4.7k 2.3× 4.0k 2.8× 707 1.5× 958 2.2× 234 6.7k
Gianmarco Manzini Italy 34 3.8k 1.4× 1.2k 0.6× 2.0k 1.4× 172 0.4× 94 0.2× 120 4.5k
Volker John Germany 36 3.6k 1.3× 1.2k 0.6× 599 0.4× 155 0.3× 168 0.4× 140 4.4k
Eric T. Chung Hong Kong 32 2.6k 0.9× 2.1k 1.0× 2.0k 1.4× 77 0.2× 156 0.4× 204 3.5k
Robert Scheichl United Kingdom 25 1.0k 0.4× 867 0.4× 492 0.3× 203 0.4× 92 0.2× 85 2.1k
Jisheng Kou China 31 1.1k 0.4× 777 0.4× 356 0.3× 154 0.3× 468 1.1× 156 2.9k

Countries citing papers authored by Todd Arbogast

Since Specialization
Citations

This map shows the geographic impact of Todd Arbogast's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Todd Arbogast with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Todd Arbogast more than expected).

Fields of papers citing papers by Todd Arbogast

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Todd Arbogast. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Todd Arbogast. The network helps show where Todd Arbogast may publish in the future.

Co-authorship network of co-authors of Todd Arbogast

This figure shows the co-authorship network connecting the top 25 collaborators of Todd Arbogast. A scholar is included among the top collaborators of Todd Arbogast based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Todd Arbogast. Todd Arbogast is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Arbogast, Todd, et al.. (2024). Direct serendipity finite elements on cuboidal hexahedra. Computer Methods in Applied Mechanics and Engineering. 433. 117500–117500.
2.
Li, Jichun, et al.. (2023). A new time-domain finite element method for simulating surface plasmon polaritons on graphene sheets. Computers & Mathematics with Applications. 142. 268–282. 2 indexed citations
3.
Huang, Chieh‐Sen, Todd Arbogast, & Chenyu Tian. (2023). Multidimensional WENO-AO Reconstructions Using a Simplified Smoothness Indicator and Applications to Conservation Laws. Journal of Scientific Computing. 97(1).
4.
Arbogast, Todd, et al.. (2023). Construction of Supplemental Functions for Direct Serendipity and Mixed Finite Elements on Polygons. Mathematics. 11(22). 4663–4663. 1 indexed citations
5.
Arbogast, Todd & Chieh‐Sen Huang. (2021). A self-adaptive theta scheme using discontinuity aware quadrature for solving conservation laws. IMA Journal of Numerical Analysis. 42(4). 3430–3463. 1 indexed citations
6.
Arbogast, Todd, et al.. (2018). Accuracy of WENO and Adaptive Order WENO Reconstructions for Solving Conservation Laws. SIAM Journal on Numerical Analysis. 56(3). 1818–1847. 21 indexed citations
7.
Arbogast, Todd, et al.. (2016). Two Families of $H$(div) Mixed Finite Elements on Quadrilaterals of Minimal Dimension. SIAM Journal on Numerical Analysis. 54(6). 3332–3356. 36 indexed citations
8.
Huang, Chieh‐Sen & Todd Arbogast. (2016). An Eulerian–Lagrangian Weighted Essentially Nonoscillatory scheme for nonlinear conservation laws. Numerical Methods for Partial Differential Equations. 33(3). 651–680. 10 indexed citations
9.
Arbogast, Todd, et al.. (2012). A Fully Conservative Eulerian-Lagrangian Stream-Tube Method for Advection-Diffusion Problems. SIAM Journal on Scientific Computing. 34(4). B447–B478. 2 indexed citations
10.
Arbogast, Todd. (2011). Homogenization-Based Mixed Multiscale Finite Elements for Problems with Anisotropy. Multiscale Modeling and Simulation. 9(2). 624–653. 10 indexed citations
11.
Arbogast, Todd, et al.. (2008). A discretization and multigrid solver for a Darcy–Stokes system of three dimensional vuggy porous media. Computational Geosciences. 13(3). 331–348. 72 indexed citations
12.
Arbogast, Todd & Mary F. Wheeler. (2005). A Family of Rectangular Mixed Elements with a Continuous Flux for Second Order Elliptic Problems. SIAM Journal on Numerical Analysis. 42(5). 1914–1931. 16 indexed citations
13.
Arbogast, Todd, et al.. (1998). An Operator-Based Approach to Upscaling the Pressure Equation. 5 indexed citations
14.
Wheeler, Mary F., Todd Arbogast, Steven L. Bryant, & Joseph W. Eaton. (1998). Efficient Parallel Computation Of SpatiallyHeterogeneous Geochemical Reactive Transport. WIT Transactions on Ecology and the Environment. 23. 1 indexed citations
15.
Arbogast, Todd, et al.. (1996). Computational methods for multiphase flow and reactive transport problems arising in subsurface contaminant remediation. Journal of Computational and Applied Mathematics. 74(1-2). 19–32. 31 indexed citations
16.
Arbogast, Todd, Clint Dawson, & Mary F. Wheeler. (1995). A parallel algorithm for two phase multicomponent contaminant transport. Applications of Mathematics. 40(3). 163–174. 3 indexed citations
17.
Arbogast, Todd, et al.. (1995). Logically Rectangular Mixed Methods for Darcy Flow on General Geometry. 25 indexed citations
18.
Douglas, Jim, et al.. (1991). A dual-porosity model for waterflooding in naturally fractured reservoirs. Computer Methods in Applied Mechanics and Engineering. 87(2-3). 157–174. 30 indexed citations
19.
Arbogast, Todd. (1990). Two-phase incompressible flow in a porous medium with various nonhomogeneous boundary conditions. University of Minnesota Digital Conservancy (University of Minnesota). 6 indexed citations
20.
Arbogast, Todd. (1988). The Double Porosity Model for Single Phase Flow in Naturally Fractured Reservoirs. University of Minnesota Digital Conservancy (University of Minnesota). 23–45. 4 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Ivan Yotov Breakdown of academic impact, for papers by Robert Eymard Breakdown of academic impact, for papers by Mary F. Wheeler Breakdown of academic impact, for papers by Konstantin Lipnikov Breakdown of academic impact, for papers by Yalchin Efendiev Breakdown of academic impact, for papers by Gianmarco Manzini Breakdown of academic impact, for papers by Volker John Breakdown of academic impact, for papers by Eric T. Chung Breakdown of academic impact, for papers by Robert Scheichl Breakdown of academic impact, for papers by Jisheng Kou
Rankless by CCL
2026