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Aaron L. Fogelson
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- affiliation: University of Utah, Department of Mathematics, Salt Lake City, USA
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2020 – today
- 2024
- [i12]Bindi M. Nagda, Aaron Barrett, Boyce E. Griffith, Aaron L. Fogelson, Jian Du:
Adaptive Mesh Refinement for Two-Phase Viscoelastic Fluid Mixture Models. CoRR abs/2409.19974 (2024) - 2023
- [c3]Bindi M. Nagda, Jian Du, Owen L. Lewis, Aaron L. Fogelson:
Deswelling Dynamics of Chemically-Active Polyelectrolyte Gels. ICCS (5) 2023: 332-346 - 2022
- [j21]Andrew T. Kassen, Varun Shankar, Aaron L. Fogelson:
A fine-grained parallelization of the immersed boundary method. Int. J. High Perform. Comput. Appl. 36(4): 443-458 (2022) - [j20]Aaron Barrett, Aaron L. Fogelson, Boyce E. Griffith:
A hybrid semi-Lagrangian cut cell method for advection-diffusion problems with Robin boundary conditions in moving domains. J. Comput. Phys. 449: 110805 (2022) - [j19]Andrew T. Kassen, Aaron Barrett, Varun Shankar, Aaron L. Fogelson:
Immersed boundary simulations of cell-cell interactions in whole blood. J. Comput. Phys. 469: 111499 (2022) - [j18]Aaron L. Fogelson, Anna C. Nelson, Cheryl Zapata-Allegro, James P. Keener:
Development of Fibrin Branch Structure Before and After Gelation. SIAM J. Appl. Math. 82(1): 267-293 (2022) - [i11]Aaron Barrett, Jordan A. Brown, Margaret Anne Smith, Andrew Woodward, John P. Vavalle, Arash Kheradvar, Boyce E. Griffith, Aaron L. Fogelson:
A Model of Fluid-Structure and Biochemical Interactions with Applications to Subclinical Leaflet Thrombosis. CoRR abs/2205.01578 (2022) - 2021
- [j17]Varun Shankar, Grady B. Wright, Aaron L. Fogelson:
An efficient high-order meshless method for advection-diffusion equations on time-varying irregular domains. J. Comput. Phys. 445: 110633 (2021) - [i10]Aaron Barrett, Aaron L. Fogelson, Boyce E. Griffith:
A Hybrid Semi-Lagrangian Cut Cell Method for Advection-Diffusion Problems with Robin Boundary Conditions in Moving Domains. CoRR abs/2102.07966 (2021) - [i9]Andrew T. Kassen, Aaron Barrett, Varun Shankar, Aaron L. Fogelson:
Immersed boundary simulations of cell-cell interactions in whole blood. CoRR abs/2108.09396 (2021) - 2020
- [j16]Kathryn Link, Matthew G. Sorrells, Nicholas A. Danes, Keith B. Neeves, Karin Leiderman, Aaron L. Fogelson:
A Mathematical Model of Platelet Aggregation in an Extravascular Injury Under Flow. Multiscale Model. Simul. 18(4): 1489-1524 (2020) - [i8]Varun Shankar, Grady B. Wright, Aaron L. Fogelson:
An Efficient High-Order Meshless Method for Advection-Diffusion Equations on Time-Varying Irregular Domains. CoRR abs/2011.06715 (2020) - [i7]Andrew T. Kassen, Varun Shankar, Aaron L. Fogelson:
A fine-grained parallelization of the immersed boundary method. CoRR abs/2012.06646 (2020)
2010 – 2019
- 2018
- [j15]Varun Shankar, Aaron L. Fogelson:
Hyperviscosity-based stabilization for radial basis function-finite difference (RBF-FD) discretizations of advection-diffusion equations. J. Comput. Phys. 372: 616-639 (2018) - [j14]Varun Shankar, Robert M. Kirby, Aaron L. Fogelson:
Robust Node Generation for Mesh-free Discretizations on Irregular Domains and Surfaces. SIAM J. Sci. Comput. 40(4): A2584-A2608 (2018) - [i6]Varun Shankar, Robert M. Kirby, Aaron L. Fogelson:
Robust Node Generation for Meshfree Discretizations on Irregular Domains and Surfaces. CoRR abs/1806.02972 (2018) - [i5]Varun Shankar, Aaron L. Fogelson:
Hyperviscosity-Based Stabilization for Radial Basis Function-Finite Difference (RBF-FD) Discretizations of Advection-Diffusion Equations. CoRR abs/1806.03798 (2018) - 2016
- [j13]Victor Camacho, Aaron L. Fogelson, James P. Keener:
Eulerian-Lagrangian Treatment of Nondilute Two-Phase Gels. SIAM J. Appl. Math. 76(1): 341-367 (2016) - [j12]Qinghai Zhang, Aaron L. Fogelson:
MARS: An Analytic Framework of Interface Tracking via Mapping and Adjusting Regular Semialgebraic Sets. SIAM J. Numer. Anal. 54(2): 530-560 (2016) - 2015
- [j11]Varun Shankar, Grady B. Wright, Robert M. Kirby, Aaron L. Fogelson:
A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction-Diffusion Equations on Surfaces. J. Sci. Comput. 63(3): 745-768 (2015) - [j10]Aaron L. Fogelson, James P. Keener:
A Framework for Exploring the Post-gelation Behavior of Ziff and Stell's Polymerization Models. SIAM J. Appl. Math. 75(3): 1346-1368 (2015) - 2014
- [j9]Jian Du, Robert D. Guy, Aaron L. Fogelson:
An immersed boundary method for two-fluid mixtures. J. Comput. Phys. 262: 231-243 (2014) - [j8]Qinghai Zhang, Aaron L. Fogelson:
Fourth-Order Interface Tracking in Two Dimensions via an Improved Polygonal Area Mapping Method. SIAM J. Sci. Comput. 36(5) (2014) - [i4]Varun Shankar, Grady B. Wright, Robert M. Kirby, Aaron L. Fogelson:
A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction-Diffusion Equations on Surfaces. CoRR abs/1404.0812 (2014) - 2013
- [i3]Varun Shankar, Grady B. Wright, Robert M. Kirby, Aaron L. Fogelson:
Augmenting the Immersed Boundary Method with Radial Basis Functions (RBFs) for the Modeling of Platelets in Hemodynamic Flows. CoRR abs/1304.7479 (2013) - [i2]Varun Shankar, Grady B. Wright, Aaron L. Fogelson, Robert M. Kirby:
A Radial Basis Function (RBF)-Finite Difference Method for the Simulation of Reaction-Diffusion Equations on Stationary Platelets within the Augmented Forcing Method. CoRR abs/1310.5207 (2013) - 2012
- [i1]Varun Shankar, Grady B. Wright, Aaron L. Fogelson, Robert M. Kirby:
A Study of Different Modeling Choices For Simulating Platelets Within the Immersed Boundary Method. CoRR abs/1210.1885 (2012) - 2011
- [j7]James P. Keener, Sarthok Sircar, Aaron L. Fogelson:
Kinetics of Swelling Gels. SIAM J. Appl. Math. 71(3): 854-875 (2011)
2000 – 2009
- 2008
- [j6]Grady B. Wright, Robert D. Guy, Aaron L. Fogelson:
An Efficient and Robust Method for Simulating Two-Phase Gel Dynamics. SIAM J. Sci. Comput. 30(5): 2535-2565 (2008) - 2007
- [j5]Elijah P. Newren, Aaron L. Fogelson, Robert D. Guy, Robert M. Kirby:
Unconditionally stable discretizations of the immersed boundary equations. J. Comput. Phys. 222(2): 702-719 (2007) - 2004
- [c2]Carleton DeTar, Aaron L. Fogelson, Christopher R. Johnson, Christopher A. Sikorski, Thanh N. Truong:
Computational Engineering and Science Program at the University of Utah. International Conference on Computational Science 2004: 1202 - 2001
- [j4]Aaron L. Fogelson, James P. Keener:
Immersed Interface Methods for Neumann and Related Problems in Two and Three Dimensions. SIAM J. Sci. Comput. 22(5): 1630-1654 (2001) - [c1]Carleton DeTar, Aaron L. Fogelson, Christopher R. Johnson, Christopher A. Sikorski:
Computational Engineering and Science Program at the University of Utah. International Conference on Computational Science (1) 2001: 1176-1188
1990 – 1999
- 1992
- [j3]Tamar Schlick, Aaron L. Fogelson:
TNPACK - A truncated Newton minimization package for large-scale problems: I. Algorithm and usage. ACM Trans. Math. Softw. 18(1): 46-70 (1992) - [j2]Tamar Schlick, Aaron L. Fogelson:
TNPACK - a truncated Newton minimization package for large-scale problems: II. Implementation examples. ACM Trans. Math. Softw. 18(1): 71-111 (1992) - [j1]Tamar Schlick, Aaron L. Fogelson:
Algorithm 702: TNPACK-a truncated Newton minimization package for large-scale problems: I. Algorithm and usage. ACM Trans. Math. Softw. 18(2): 141 (1992)
Coauthor Index
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