Project Grant 2513843

Award Date 7/1/25
Completion Date 6/30/28
Dollars Obligated $300K
Awarding Federal Agency
Division of Mathematical Sciences
Federal Grant Program
47.049
Assistance Type
Project Grant
Place of Performance
Baton Rouge, LA 70803, USA
Similar Awards
This $314,416 Project Grant awarded by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research at Louisiana State University (LSU) across three main areas: elliptic optimal control problems, elliptic problems with rough coefficients, and fully nonlinear elliptic partial differential equations. The research aims to develop new computational methods and extend theoretical understanding in these areas, which have applications in...
This National Science Foundation project grant of $361,251 will support research at Louisiana State University from July 1, 2022 to June 30, 2025 under the Mathematical and Physical Sciences program (CFDA 47.049). The university will investigate novel numerical schemes for least squares problems involving elliptic partial differential equations that model steady state problems in science and engineering. This includes developing finite element methods for least squares problems in data fitting...
This $319,951 Project Grant, awarded by the National Science Foundation (NSF) Division of Mathematical Sciences, supports the development and analysis of new computational methods for studying complex fluid systems on deforming surfaces. The key products and services to be delivered through this 3-year award include: Developing and analyzing a finite element method for tangential fluid systems on moving surfaces, a multi-component surface flow problem, and a fluid-elastic interface model to...
Louisiana State University and Agricultural and Mechanical College (LSU) received a $236,770 Project Grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to accelerate research on active set methods for large-scale sparse nonlinear optimization from July 2023 through June 2026. Through this award, LSU will improve the implementation and theory of current active set methods used to solve...
This $415,862 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports quantitative studies of solutions to partial differential equations at Louisiana State University from July 2022 through June 2025. The Principal Investigator will conduct research on upper bounds for nodal and singular sets of Laplace operators on smooth surfaces, bounds on nodal sets of eigenfunctions in periodic elliptic homogenization, and quantitative unique...
Louisiana State University was awarded a $150,000 Project Grant from the National Science Foundation Division of Mathematical Sciences on July 15, 2021 to complete work by June 30, 2024. The grant funds the development of optimization methods for nonconvex structured optimization problems under the Mathematical and Physical Sciences program (CFDA 47.049). This program aims to advance mathematical and physical sciences and strengthen the national scientific enterprise through increasing...
Louisiana State University received a $198,664 Project Grant award from the National Science Foundation Division of Mathematical Sciences on July 1, 2021 to support research activities through June 30, 2024. The award is being used to fund the "DIFFUSIVE REGULARIZATION IN KINETIC AND FLUID EQUATIONS" project under the Mathematical and Physical Sciences program (CFDA 47.049). This program aims to promote progress in the mathematical and physical sciences to strengthen the Nation's...
The federal Project Grant award for $349,996 provided to Louisiana State University (LSU) by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will fund research on high-harmonic generation (HHG) in complex systems. The key objectives are to develop theoretical tools for simulating the HHG process and its applications in semiconductor crystals and organic molecules. This work aims to advance the fundamental understanding and macroscopic control of...
This $196,255 Project Grant from the National Science Foundation Division of Mathematical Sciences will fund the development of a new computational method called Shape-Morphing Modes for efficiently simulating multiscale evolution partial differential equations with conserved quantities. Shape-Morphing Modes are computational elements that adaptively change shape and location to efficiently capture various temporal and spatial scales in solutions to partial differential equations describing...
This $308,031 three-year Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research on the nonlinear electrohydrodynamics of motile particles in confinement. The project aims to develop mathematical models, analytical solutions, and computational methods to understand the behavior of micron-sized colloidal particles driven to rotate or roll by electric fields between two planar electrodes. The research integrates...

This $299,992 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) is funding research conducted by Louisiana State University (LSU) to develop novel computational techniques for controlling geometric shapes and motion. The research objectives include:

  1. Advancing the theoretical development of unfitted finite element methods to create robust numerical techniques for optimizing shape and time-dependent geometric motion.

  2. Developing new tools to optimize the swimming motions, or gaits, of microorganisms, which can help explain their behavior and inform the design of underwater robotic systems.

  3. Extending optimal control techniques to the self-assembly dynamics of geometric structures, with a focus on liquid crystals.

The research aims to unite contrasting approaches to shape optimization, yield new types of level set methods for simulating changing geometry, and extend unfitted finite element methods to address time-dependent, tensor-valued partial differential equations. The grant also supports the development of open-source software packages to enable broader use of the computational methods developed under this award. No subawards are planned as part of this 3-year project, which commenced on July 1, 2025.

Generated 7/15/25, 2:59 AM