A nonintrusive proper generalized decomposition scheme with application in biomechanics
A nonintrusive proper generalized decomposition scheme with application in biomechanics
复制标题
一种在生物力学中应用的非侵入式广义分解方案
DOI：
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
F. Auricchio
中科院分区：
文献类型：
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作者：
X. Zou;M. Conti;Pedro Díez;F. Auricchio
适当的广义分解（PGD）通常用于多查询和快速响应模拟。它是一个强大的工具，可以减轻影响多参数偏微分方程的维数灾难。大多数 PGD 实现都是基于内部开发的 FE 求解器的侵入式扩展。在这项工作中，我们提出了一种非侵入式 PGD 方案，使用现成的 FE 代码（例如经过认证的商业软件）作为外部求解器。该方案由内部流量控制代码实施和监控。典型的实现提供了可下载的代码。此外，还提出了一种新颖的 PGD 分辨率参数分离策略。将参数空间分割为二维或三维子空间，使PGD技术能够解决参数空间受限的问题，获得更高的收敛率。提供了数值示例。特别是，其中包括生物力学的实际示例，可潜在应用于患者特定的模拟。
Proper generalized decomposition (PGD) is often used for multiquery and fast‐response simulations. It is a powerful tool alleviating the curse of dimensionality affecting multiparametric partial differential equations. Most implementations of PGD are intrusive extensions based on in‐house developed FE solvers. In this work, we propose a nonintrusive PGD scheme using off‐the‐shelf FE codes (such as certified commercial software) as an external solver. The scheme is implemented and monitored by in‐house flow‐control codes. A typical implementation is provided with downloadable codes. Moreover, a novel parametric separation strategy for the PGD resolution is presented. The parametric space is split into two‐ or three‐dimensional subspaces, to allow PGD technique solving problems with constrained parametric spaces, achieving higher convergence ratio. Numerical examples are provided. In particular, a practical example in biomechanics is included, with potential application to patient‐specific simulation.
影响因子：
2.4
作者：
KEAVENY, TM;GUO, XE;HAYES, WC
通讯作者：
HAYES, WC