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Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.
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An optimization-inspired solver for inequality constrained nonlinear solid mechanics.
Abstract not provided.
Time Integration and Implicit Solvers for DOE Multiphysics Applications [Slides]
Abstract not provided.
Recent Advances in Maxwell Solvers for PIC Simulations Across Architectures.
Abstract not provided.
Development and Analysis of Optimal Multilevel Solvers on Advanced Computers. Final Report
Constrained optimization in the context of time dependent, partial differential equations (PDE) leads to a symmetric, block-tridiagonal system of nonlinear equations that must be solved repeatedly in an iterative solution strategy. The blocks represent spatial discretization, while the connection between the blocks represents a forward and backward integration in time. The focus of this project is to apply a parallel-in-time (PiT) solution technique to the large block-triangular system.
An Infinite Domain 3D Poisson Solver Based on the Barnes-Hut Algorithm
We present a domain decomposition method for the solution of the 3D Poisson equation with infinite domain boundary conditions. The method is based on an application of the Barnes-Hut tree particle scheme adapted to gridded data. Long range interactions are computed using the first two terms in the Cartesian multipole expansion of Green’s function convoluted with the charge while short range computations are performed using Hockney’s domain doubling algorithm. A standard domain decomposition strategy requires O(N 2 ) applications of Hockney’s algorithm, where N is the number of subdomains that intersect that charge support, while in the present approach only O(Nlog 2 N) such computations suffice. The discretization scheme employed is a sixth order Mehrstellen approximation of the 3D Laplace opera tor. The method exhibits satisfactory accuracy at a substantially reduced computational cost compared to the full domain decomposition Hockney’s algorithm.
Performance portable batched sparse linear solvers in Kokkos kernels.
Abstract not provided.
Scalability studies of Albany Land Ice: a performance portable, ice sheet solver.
Abstract not provided.
Optimization based solvers for the Monge-Ampre equation with applications to mesh adaptivity.
Abstract not provided.
Performance portable batched sparse linear solvers in Kokkos Kernels.
Abstract not provided.
Optimization-based multi grid-enabled finite element solvers for the Monge-Ampre equation.
Abstract not provided.
Iterative Solvers & Algebraic Multigrid (with Trilinos, Belos & MueLu).
Abstract not provided.
Enhancing high-fidelity nonlinear solver with reduced order model.
Abstract not provided.
Application of JAX to Compute Gradients within Harmonic Balance Solvers.
Abstract not provided.