计算机科学
有限元法
元组
分歧(语言学)
要素(刑法)
理论计算机科学
域代数上的
数学
纯数学
离散数学
工程类
结构工程
政治学
语言学
哲学
法学
作者
Andreas Dedner,A. L. Hodson
出处
期刊:Cornell University - arXiv
日期:2022-08-18
标识
DOI:10.48550/arxiv.2208.08978
摘要
In this paper we present a framework for the construction and implementation of general virtual element spaces based on projections built from constraint least squares problems. Building on the triples used for finite element spaces, we introduce the concept of a VEM tuple which encodes the necessary building blocks to construct these projections. Using this approach, a wide range of virtual element spaces can be defined. We discuss $H^k$-conforming spaces for $k=1,2$ as well as divergence and curl free spaces. This general framework has the advantage of being easily integrated into any existing finite element package and we demonstrate this within the open source software package DUNE.
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