MINI Element for the Navier–Stokes System in 3D: Vectorized Codes and Superconvergence

IF 3.3 4区计算机科学 Q2 COMPUTER SCIENCE, INFORMATION SYSTEMS

Informatica Pub Date : 2024-02-23 DOI:10.15388/24-infor543

Radek Kučera, Vladimír Arzt, Jonas Koko

引用次数: 0

Abstract

A fast vectorized codes for assembly mixed finite element matrices for the generalized Navier–Stokes system in three space dimensions in the MATLAB language are proposed by the MINI element. Vectorization means that the loop over tetrahedra is avoided. Numerical experiments illustrate computational efficiency of the codes. An experimental superconvergence rate for the pressure component is established. PDF XML

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三维纳维-斯托克斯系统的 MINI 要素：矢量化代码和超融合

通过 MINI 元素，提出了用 MATLAB 语言在三维空间组装广义 Navier-Stokes 系统混合有限元矩阵的快速矢量化代码。矢量化意味着避免在四面体上循环。数值实验说明了代码的计算效率。实验证明了压力分量的超收敛率。PDF XML

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来源期刊

Informatica 工程技术-计算机：信息系统

CiteScore

5.90

自引率

6.90%

发文量

审稿时长

12 months

期刊介绍： The quarterly journal Informatica provides an international forum for high-quality original research and publishes papers on mathematical simulation and optimization, recognition and control, programming theory and systems, automation systems and elements. Informatica provides a multidisciplinary forum for scientists and engineers involved in research and design including experts who implement and manage information systems applications.