Aaron L. Fogelson

Publication Activity (10 Years)

Years Active: 1992-2023
Publications (10 Years): 18

Top Topics

Rbf Neural Network

Diffusion Equation

Radial Basis Function

Top Venues

J. Comput. Phys.

SIAM J. Appl. Math.

SIAM J. Sci. Comput.

Publications

Bindi M. Nagda, Jian Du, Owen L. Lewis, Aaron L. Fogelson
Deswelling Dynamics of Chemically-Active Polyelectrolyte Gels. ICCS (5) (2023)
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 (2022)
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) (2022)
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 (2022)
Andrew T. Kassen, Aaron Barrett, Varun Shankar, Aaron L. Fogelson
Immersed boundary simulations of cell-cell interactions in whole blood. J. Comput. Phys. 469 (2022)
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) (2022)
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 (2021)
Andrew Kassen, Aaron Barrett, Varun Shankar, Aaron L. Fogelson
Immersed boundary simulations of cell-cell interactions in whole blood. CoRR (2021)
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 (2021)
Varun Shankar, Grady B. Wright, Aaron L. Fogelson
An Efficient High-Order Meshless Method for Advection-Diffusion Equations on Time-Varying Irregular Domains. CoRR (2020)
Andrew Kassen, Varun Shankar, Aaron L. Fogelson
A fine-grained parallelization of the immersed boundary method. CoRR (2020)
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) (2020)
Varun Shankar, Robert M. Kirby, Aaron L. Fogelson
Robust Node Generation for Meshfree Discretizations on Irregular Domains and Surfaces. CoRR (2018)
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) (2018)
Varun Shankar, Aaron L. Fogelson
Hyperviscosity-Based Stabilization for Radial Basis Function-Finite Difference (RBF-FD) Discretizations of Advection-Diffusion Equations. CoRR (2018)
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 (2018)
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) (2016)
Victor Camacho, Aaron L. Fogelson, James P. Keener
Eulerian-Lagrangian Treatment of Nondilute Two-Phase Gels. SIAM J. Appl. Math. 76 (1) (2016)
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) (2015)
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) (2015)
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 (2014)
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)
Jian Du, Robert D. Guy, Aaron L. Fogelson
An immersed boundary method for two-fluid mixtures. J. Comput. Phys. 262 (2014)
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 (2013)
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 (2013)
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 (2012)
James P. Keener, Sarthok Sircar, Aaron L. Fogelson
Kinetics of Swelling Gels. SIAM J. Appl. Math. 71 (3) (2011)
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) (2008)
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) (2007)
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)
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) (2001)
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)
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) (1992)
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) (1992)
Tamar Schlick, Aaron L. Fogelson
TNPACK - a truncated Newton minimization package for large-scale problems: II. Implementation examples. ACM Trans. Math. Softw. 18 (1) (1992)