MATLAB®和Python中有限元法的计算框架（True EPUB）

English | 2022 | ISBN: 9781003265979 | 208 pages | True EPUB | 8.52 MB

Computational Framework for the Finite Element Method in MATLAB and Python aims to provide a programming framework for coding linear FEM using matrix-based MATLAB language and Python scripting language. It describes FEM algorithm implementation in the most generic formulation so that it is possible to apply this algorithm to as many application problems as possible.

Readers can follow the step-by-step process of developing algorithms with clear explanations of its underlying mathematics and how to put it into MATLAB and Python code. The content is focused on aspects of numerical methods and coding FEM rather than FEM mathematical analysis. However, basic mathematical formulations for numerical techniques which are needed to implement FEM are provided. Particular attention is paid to an efficient programming style using sparse matrices.

Features

Contains ready-to-use coding recipes allowing fast prototyping and solving of mathematical problems using FEM. Suitable for upper-level undergraduates and graduates in applied mathematics, science, or engineering. Both MATLAB and Python programming codes are provided to give readers more flexibility in the practical framework implementation.

英文| 2022 |国际标准图书编号：9781003265979 | 208页|真正的EPUB | 8.52 MB MATLAB和Python中的有限元法计算框架旨在提供一个使用基于矩阵的MATLAB语言和Python脚本语言对线性有限元法进行编码的编程框架。它以最通用的公式描述了FEM算法的实现，从而可以将该算法应用于尽可能多的应用问题。 读者可以按照开发算法的分步过程，清楚地解释其底层数学以及如何将其放入MATLAB和Python代码中。内容主要集中在数值方法和有限元编码方面，而不是有限元数学分析。然而，提供了实现有限元法所需的数值技术的基本数学公式。特别关注使用稀疏矩阵的高效编程风格。 特征 包含现成的编码配方，允许使用FEM快速原型制作和解决数学问题。适用于应用数学、科学或工程领域的高年级本科生和研究生。提供MATLAB和Python编程代码，使读者在实际框架实现中具有更大的灵活性。

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