THE P AND H-P VERSIONS OF THE FINITE-ELEMENT METHOD, BASIC PRINCIPLES AND PROPERTIES
THE P AND H-P VERSIONS OF THE FINITE-ELEMENT METHOD, BASIC PRINCIPLES AND PROPERTIES
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DOI：
10.1137/1036141
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发表时间：
1994-12-01
期刊：
影响因子：
10.2
通讯作者：
SURI, M
中科院分区：
文献类型：
--
作者：
BABUSKA, I;SURI, M
在有限元法的经典形式h版中，采用固定次p的分段多项式，并减小网格尺寸h以提高精度。在本文中，我们讨论了相对较新的p版本和hp版本背后的基本理论思想。在p版本中，使用固定网格，并且允许p增加。惠普的版本结合了这两种方法。作者描述和解释了这些新版本的基本属性和特征，特别是在它们的行为与h版本明显不同的地方。包括关键概念的简化证明，并提供了几个结果的计算插图。包含了不同版本之间的基准比较。
In the classical form of the finite element method called the h version, piecewise polynomials of fixed degree p are used and the mesh size h is decreased for accuracy. In this paper, we discuss the fundamental theoretical ideas behind the relatively recent p version and h-p version. In the p version, a fixed mesh is used and p is allowed to increase. The h-p version combines both approaches. The authors describe and explain the basic properties and characteristics of these newer versions, especially in areas where their behavior is significantly different from that of the h version. Simplified proofs of key concepts are included and computational illustrations of several results are provided. A benchmark comparison between the various versions in included.