Finite Element and Reduced Dimension Methods for Partial Differential Equations

£149.99

Finite Element and Reduced Dimension Methods for Partial Differential Equations

Differential calculus and equations Numerical analysis

Author: Zhendong Luo

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Collection: Mathematics and Statistics

Language: English

Published by: Springer

Published on: 30th August 2024

Format: LCP-protected ePub

ISBN: 9789819734344


Introduction

This book aims to provide with some approaches for lessening the unknowns of the FE methods of unsteady PDEs. It provides a very detailed theoretical foundation of finite element (FE) and mixed finite element (MFE) methods in the first 2 chapters, and then Chapter 3 provides the FE and MFE methods to solve unsteady partial differential equations (PDEs). In the following 2 chapters, the principle and application of two proper orthogonal decomposition (POD) methods are introduced in detail.

Target Audience and Usage

This book can be used as both the introduction of FE method and the gateway to the FE frontier. For readers who want to learn the FE and MFE methods for solving various steady and unsteady PDEs, they will find the first 3 chapters very helpful. While those who care about engineering applications may jump to the last 2 chapters that introduce the construction of dimension reduction models and their applications to practical process calculations. This part could help them to improve the calculation efficiency and save CPU runtime so as to do wonders for their engineering calculations.

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