ANDERSON ACCELERATION FOR NONLINEAR FINITE VOLUME SCHEME FOR ADVECTION-DIFFUSION PROBLEMS
ANDERSON ACCELERATION FOR NONLINEAR FINITE VOLUME SCHEME FOR ADVECTION-DIFFUSION PROBLEMS
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DOI：
10.1137/120867846
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发表时间：
2013-01-01
影响因子：
3.1
通讯作者：
Vassilevski, Y.
中科院分区：
文献类型：
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作者：
Lipnikov, K.;Svyatskiy, D.;Vassilevski, Y.
考虑一类非线性代数方程组的解，这些方程组出现在保正有限体积格式中，用于稳态平流扩散方程。我们提出并数值分析了一种有效的策略来加速皮卡德方法在这些系统中的应用。该策略基于安德森加速和线性系统的自适应不精确解。对三种黑盒预调节器进行了数值鲁棒性验证。
We consider the solution of systems of nonlinear algebraic equations that appear in a positivity preserving finite volume scheme for steady-state advection-diffusion equations. We propose and analyze numerically an efficient strategy for accelerating the Picard method when it is applied to these systems. The strategy is based on the Anderson acceleration and the adaptive inexact solution of linear systems. We demonstrate its numerical robustness for three black-box preconditioners.