GPU Accelerated Explicit Time-Integration Methods for Electro-Quasi-Static Fields
GPU Accelerated Explicit Time-Integration Methods for Electro-Quasi-Static Fields
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GPU 加速电准静态场显式时间积分方法
DOI：
10.1109/cefc.2016.7816199
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发表时间：
2016
影响因子：
2.1
通讯作者：
M. Clemens
中科院分区：
文献类型：
--
作者：
C. Richter;S. Schöps;M. Clemens
涉及非线性材料的电-拟静力场问题通常采用有限单元在空间中离散化。本文提出用显式龙格-库塔-切比雪夫时间积分格式求解所得到的常微分方程组。这减少了对牛顿-拉夫森迭代的需求，因为它们在完全隐式时间积分方案中是必要的。然而，ODE的EQS系统有一个拉普拉斯质量矩阵，使得部分显式时间积分格式仍然是隐式的。给出了一种具有常数预条件的迭代求解器，可以有效地求解得到的多重右侧问题。这种方法允许在具有多个图形处理单元的系统上有效地并行实现。
Electro-quasi-static (EQS) field problems involving nonlinear materials are commonly discretized in space using finite elements. In this paper, it is proposed to solve the resulting system of ordinary differential equations (ODEs) by an explicit Runge–Kutta–Chebyshev time-integration scheme. This mitigates the need for Newton–Raphson iterations, as they are necessary within fully implicit time integration schemes. However, the EQS system of ODE has a Laplace-type mass matrix such that parts of the explicit time-integration scheme remain implicit. An iterative solver with constant preconditioner is shown to efficiently solve the resulting multiple right-hand side problem. This approach allows an efficient parallel implementation on a system featuring multiple graphic processing units.
多 GPU 加速的非线性电准静态场问题的瞬态仿真
影响因子：
2.1
作者：
C. Richter;S. Schöps;J. S. Dutiné;R. Schreiber;M. Clemens
通讯作者：
M. Clemens