Coupled mechanical‐electrostatic FE‐BE analysis with FMM acceleration
نویسندگان
چکیده
منابع مشابه
Acceleration of Vortex Methods Calcula - Tion Using Fmm and Mdgrape - 3
The present study discusses some numerical techniques on the simultaneous use of the Fast Multipole Method (FMM) and special-purpose computer (MDGRAPE-3) to make the impractically expensive calculation feasible without the loss of numerical accuracy. In the present calculations, the impingement of two identical inclined vortex rings has been studied, and the computation time has been reduced by...
متن کاملCoupled Harmonic Equations , SOR , and Chebyshev Acceleration
A coupled pair of harmonic equations is solved by the application of Chebyshev acceleration to the Jacobi, Gauss-Seidel, and related iterative methods, where the Jacobi iteration matrix has purely imaginary (or zero) eigenvalues. Comparison is made with a block SOR method used to solve the same problem. Introduction. In [4], we proposed a general block SOR method for solving the biharmonic equa...
متن کاملAdaptive FMM for fractal sets
N 2 interactions amongN points orN variables appears in the boundary element methods, problems involving radial basis functions or in probability theory to describe dense covariance matrices. The fast multipole formulation introduced by Greengard and Rokhlin approximates a matrixvector multiplication of the above form with desired accuracy in O(N) time. Several works have extended the algorithm...
متن کاملScaling FMM with Data-Driven OpenMP Tasks on Multicore Architectures
Poor scalability on parallel architectures can be attributed to several factors, among which idle times, data movement, and runtime overhead are predominant. Conventional parallel loops and nested parallelism have proved successful for regular computational patterns. For more complex and irregular cases, however, these methods often perform poorly because they consider only a subset of these co...
متن کاملMultistep Surface Electrode Mechanism Coupled with Preceding Chemical Reaction-Theoretical Analysis in Square-Wave Voltammetry
In this theoretical work, we present for the first time voltammetric results of a surface multistep electron transfer mechanism that is associated with a preceding chemical reaction that is linked to the first electron transfer step. The mathematical model of this so-called “surface CEE mechanism” is solved under conditions of square-wave voltammetry. We present relevant set of results portrayi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering
سال: 2004
ISSN: 0332-1649
DOI: 10.1108/03321640410553300