Howard C. Elman

8.2k citations

107 papers · 5.5k indexed · 3 hit papers · h-index 34

Impact in

Numerical Analysis top 0.2%
- Numerical methods for differential equations
Computational Theory and Mathematics top 0.05%
- Matrix Theory and Algorithms

Papers in

Numerical Analysis 37
- Numerical methods for differential equations 24
Computational Mathematics 4

Co-authors: David J. Silvester Andrew J. Wathen Martin H. Schultz Gene H. Golub Stanley C. Eisenstat Alison Ramage Dianne P. O’Leary Andy Wathen
Journals: SIAM Journal on Scientific Computing (16 papers)Mathematics of Computation (8 papers)Journal of Computational Physics (7 papers)SIAM Journal on Matrix Analysis and Applications (6 papers)Computer Methods in Applied Mechanics and Engineering (5 papers)
Partner nations: United States United Kingdom Germany

In The Last Decade

Howard C. Elman

101 papers receiving 4.8k citations

Hit Papers

align trajectories log scale

Finite Elements and Fast Iterative Solvers 2014 · 252 citations

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if any of the following hold:

it has ≥500 total citations;
it reaches ≥1.5× the top-1% citation threshold for papers in the same subfield and year (the threshold is the minimum needed to enter the top 1%, not the average within it);
it reaches the top citation threshold in at least one of its specific research topics.

2014 Finite Elements and Fast Iterative Solvers
2005 Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics
1983 SIAM Journal on Numerical Analysis

Peers

Countries citing papers authored by Howard C. Elman

Since Specialization

Citations

This map shows the geographic impact of Howard C. Elman'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 Howard C. Elman with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Howard C. Elman more than expected).

Fields of papers citing papers by Howard C. Elman

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Howard C. Elman. 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 Howard C. Elman. The network helps show where Howard C. Elman may publish in the future.

Co-authors

The 25 scholars most cited alongside Howard C. Elman, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Howard C. Elman Line = papers co-authored together Howard C. Elman links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

#	Work
1	A deep neural network approach for parameterized PDEs and Bayesian inverse problems Machine Learning Science and Technology ·Harbir Antil, Howard C. Elman, M BORRI, Shi Yan	2023	4
2	Surrogate Approximation of the Grad-Shafranov Free Boundary Problem via Stochastic Collocation on Sparse Grids arXiv (Cornell University) ·Howard C. Elman, H. Pflüger, Mrcs Eng	2021	1
3	A Low-Rank Multigrid Method for the Stochastic Steady-State Diffusion Problem SIAM Journal on Matrix Analysis and Applications ·Howard C. Elman, Markus Buhren	2018	8
4	An adaptive reduced basis collocation method based on PCM ANOVA decomposition for anisotropic stochastic PDEs arXiv (Cornell University) ·Heyrim Cho, Howard C. Elman	2017	3
5	A Block Preconditioner for an Exact Penalty Formulation for Stationary MHD SIAM Journal on Scientific Computing ·Saurav Bhattacharya, Howard C. Elman, Eric C. Cyr, John N. Shadid, Roger P. Pawlowski	2014	28
6	Fast inexact subspace iteration for generalized eigenvalue problems with spectral transformation Linear Algebra and its Applications ·Donna Armes-Thomas, Howard C. Elman	2010	19
7	BOUNDARY CONDITIONS IN APPROXIMATE COMMUTATOR PRECONDITIONERS FOR THE NAVIER-STOKES EQUATIONS ∗ Digital Repository at the University of Maryland (University of Maryland College Park) ·Howard C. Elman, Ray Tuminaro	2009	37
8	A finite element model for protein transport in vivo BioMedical Engineering OnLine ·SOURABH SINGH, Howard C. Elman, Hubert J. Montas, Adel Shirmohammadi	2007	13
9	Least Squares Preconditioners for Stabilized Discretizations of the Navier–Stokes Equations SIAM Journal on Scientific Computing ·Howard C. Elman, Victoria E. Howle, John N. Shadid, David J. Silvester, Ray Tuminaro	2007	46
10	Complete stagnation of gmres Linear Algebra and its Applications ·Yuqian Zhang, Dianne P. O’Leary, Howard C. Elman	2003	35
11	Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations Numerische Mathematik ·Howard C. Elman, David J. Silvester, Andrew J. Wathen	2002	163
12	Efficient preconditioning of the linearized Navier–Stokes equations for incompressible flow Journal of Computational and Applied Mathematics ·David J. Silvester, Howard C. Elman, David Kay, Andrew J. Wathen	2001	145
13	Creating Virtual Spatial Audio Via Scientific Computing and Computer Vision eScholarship (California Digital Library) ·Ramani Duraiswami, Richard O. Duda, 壽一郎清水, Laura Davis, Valentino Santoro, Xiaoyu Wang, Shihab Shamma, Howard C. Elman, Rama Chellappa, Yiannis Aloimonos, S. T. Raveendra	2000	6
14	Individualized HRTFs using computer vision and computational acoustics The Journal of the Acoustical Society of America ·Ramani Duraiswami, Larry S. Davis, Shihab Shamma, Howard C. Elman, Richard O. Duda, V. Ralph Algazi, I. L. Efimova, S. T. Raveendra	2000	4
15	Iterative Methods for Problems in Computational Fluid Dynamics Digital Repository at the University of Maryland (University of Maryland College Park) ·Howard C. Elman, David J. Silvester, Andrew J. Wathen	1998	46
16	Algebraic Analysis of the Hierarchical Basis Preconditioner SIAM Journal on Matrix Analysis and Applications ·Howard C. Elman, Xuejun Zhang	1995	11
17	Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems SIAM Journal on Numerical Analysis ·Howard C. Elman, Gene H. Golub	1994	374
18	Some aspects of parallel implementation of the finite-element method on message passing architectures Journal of Computational and Applied Mathematics ·Ivo Babuška, Howard C. Elman	1989	32
19	Relaxed and stabilized incomplete factorizations for non-self-adjoint linear systems BIT Numerical Mathematics ·Howard C. Elman	1989	35
20	Preconditioned Conjugate-Gradient Methods for Nonsymmetric Systems of Linear Equations. Defense Technical Information Center (DTIC) ·Howard C. Elman	1981	9

About Howard C. Elman

Howard C. Elman is a scholar working on Numerical Analysis, Computational Mathematics, Computational Theory and Mathematics, Computational Mechanics and Statistics, Probability and Uncertainty, having authored 107 papers that have together received 5.5k indexed citations. Recurring topics across this work include Advanced Numerical Methods in Computational Mathematics (66 papers), Matrix Theory and Algorithms (56 papers), Probabilistic and Robust Engineering Design (24 papers), Numerical methods for differential equations (24 papers), Model Reduction and Neural Networks (16 papers), Advanced Mathematical Modeling in Engineering (13 papers), Electromagnetic Scattering and Analysis (13 papers) and Electromagnetic Simulation and Numerical Methods (9 papers). The work is most often cited by research in Numerical Analysis (1.7k citations), Computational Theory and Mathematics (3.5k citations), Computational Mechanics (3.7k citations), Computational Mathematics (58 citations) and Statistics, Probability and Uncertainty (495 citations). Howard C. Elman has collaborated with scholars based in United States, United Kingdom and Germany. Frequent co-authors include David J. Silvester, Andrew J. Wathen, Martin H. Schultz, Gene H. Golub, Stanley C. Eisenstat, Alison Ramage, Dianne P. O’Leary, Andy Wathen, Ray Tuminaro and John N. Shadid. Their work appears in journals such as SIAM Journal on Scientific Computing, Mathematics of Computation, Journal of Computational Physics, SIAM Journal on Matrix Analysis and Applications and Computer Methods in Applied Mechanics and Engineering.

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.

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