Trefftz in translation
Trefftz in translation
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特雷夫茨翻译
DOI：
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发表时间：
2003
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通讯作者：
E. Maunder
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文献类型：
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作者：
E. Maunder
本文回顾了Trefftz在1926年提出的关于边界的解决方案，误差估计，并与区域分解混合领域的重要概念。从今天的角度来看，在有限元方法的相对成熟的艺术状态提供的意见。Trefftz提出的数值例子也审查与“精确”的解决方案，可从目前的商业有限元方法的好处。Trefftz给出的解决方案的精度进行了量化和比较，和Trefftz的建议的误差估计的有效性指标也进行了量化。Trefftz的论文的德文原版的英文翻译包括在附录中以供参考。
This paper reviews the important concepts presented by Trefftz in 1926 regarding bounds to solutions, error estimation, and hybrid fields for use with domain decomposition. Observations are offered from the perspective of today’s relatively mature state of the art in finite element methods. The numerical examples presented by Trefftz are also reviewed with the benefit of ‘exact’ solutions made available from current commercial finite element methods. The accuracies of the solutions given by Trefftz are quantified and compared, and the effectivity indices of Trefftz’s proposed error estimates are also quantified. An English translation of the original German version of Trefftz’s paper is included for reference in an Appendix.