Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Kloeckner, Andreas"'
Autor:
Fernando, Isuru, Klöckner, Andreas
We demonstrate a new, hybrid symbolic-numerical method for the automatic synthesis of all families of translation operators required for the execution of the Fast Multipole Method (FMM). Our method is applicable in any dimensionality and to any trans
Externí odkaz:
http://arxiv.org/abs/2305.17867
Morse and Ingard give a coupled system of time-harmonic equations for the temperature and pressure of an excited gas. These equations form a critical aspect of modeling trace gas sensors. Like other wave propagation problems, the computational proble
Externí odkaz:
http://arxiv.org/abs/2210.13765
We present two (a decoupled and a coupled) integral-equation-based methods for the Morse-Ingard equations subject to Neumann boundary conditions on the exterior domain. Both methods are based on second-kind integral equation (SKIE) formulations. The
Externí odkaz:
http://arxiv.org/abs/2210.12542
Publikováno v:
In Computers and Mathematics with Applications 15 May 2024 162:22-32
Numerical resolution of exterior Helmholtz problems requires some approach to domain truncation. As an alternative to approximate nonreflecting boundary conditions and invocation of the Dirichlet-to-Neumann map, we introduce a new, nonlocal boundary
Externí odkaz:
http://arxiv.org/abs/2009.08493
Autor:
Wala, Matt, Klöckner, Andreas
In this paper, we present a generalization of the classical error bounds of Greengard-Rokhlin for the Fast Multipole Method (FMM) for Laplace potentials in three dimensions, extended to the case of local expansion (instead of point) targets. We also
Externí odkaz:
http://arxiv.org/abs/2008.00653
Publikováno v:
In Journal of Computational Physics 1 November 2023 492
Autor:
Stevens, James D., Klöckner, Andreas
Publikováno v:
The International Journal of High Performance Computing Applications, June 2020
The ability to model, analyze, and predict execution time of computations is an important building block supporting numerous efforts, such as load balancing, performance optimization, and automated performance tuning for high performance, parallel ap
Externí odkaz:
http://arxiv.org/abs/1904.09538
We present an integral equation approach to solving the Cahn-Hilliard equation equipped with boundary conditions that model solid surfaces with prescribed Young's angles. The discretization of the system in time using convex splitting leads to a modi
Externí odkaz:
http://arxiv.org/abs/1904.07357
Autor:
Sun, Tianjiao, Mitchell, Lawrence, Kulkarni, Kaushik, Klöckner, Andreas, Ham, David A., Kelly, Paul H. J.
Publikováno v:
International Journal of High Performance Computing Applications (2020)
Vectorization is increasingly important to achieve high performance on modern hardware with SIMD instructions. Assembly of matrices and vectors in the finite element method, which is characterized by iterating a local assembly kernel over unstructure
Externí odkaz:
http://arxiv.org/abs/1903.08243