Modelling and convergence in arterial wall simulations using a parallel FETI solution strategy
Modelling and convergence in arterial wall simulations using a parallel FETI solution strategy
复制标题
使用并行 FETI 解决方案策略进行动脉壁模拟的建模和收敛
DOI：
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发表时间：
2008
影响因子：
1.6
通讯作者：
J. Schröder
中科院分区：
文献类型：
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作者：
D. Brands;A. Klawonn;O. Rheinbach;J. Schröder
动脉壁的特点是几乎不可压缩、各向异性、超弹性的材料行为。考虑了代表这类材料的几个多凸材料函数，并根据实验数据进行了调整。对于所有这些函数和不同的参数集，使用病变动脉的三维模型进行了数值模拟。采用有限元撕裂互连-对偶原区域分解算法求解线性化的方程组。从线性和非线性解算器的收敛方面讨论了不同模型的数值性能。
Arterial walls are characterised by nearly incompressible, anisotropic, hyperelastic material behaviour. Several polyconvex material functions representing such materials are considered and adjusted to experimental data. For all of these functions and for different parameter sets numerical simulations using a three-dimensional model of a diseased artery are performed. A finite element tearing and interconnecting-dual primal domain decomposition algorithm is used to solve the linearised systems of equations. The numerical performance of the different models is discussed with respect to convergence of the linear and nonlinear solvers.