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商品描述
This book is a self-contained, programming-oriented and learner-centered book on finite element method (FEM), with special emphasis given to developing MATLAB® programs for numerical modeling of electromagnetic boundary value problems. It provides a deep understanding and intuition of FEM programming by means of step-by-step MATLAB® programs with detailed descriptions, and eventually enabling the readers to modify, adapt and apply the provided programs and formulations to develop FEM codes for similar problems through various exercises. It starts with simple one-dimensional static and time-harmonic problems and extends the developed theory to more complex two- or three-dimensional problems. It supplies sufficient theoretical background on the topic, and it thoroughly covers all phases (pre-processing, main body and post-processing) in FEM. FEM formulations are obtained for boundary value problems governed by a partial differential equation that is expressed in terms of a generic unknown function, and then, these formulations are specialized to various electromagnetic applications together with a post-processing phase. Since the method is mostly described in a general context, readers from other disciplines can also use this book and easily adapt the provided codes to their engineering problems. After forming a solid background on the fundamentals of FEM by means of canonical problems, readers are guided to more advanced applications of FEM in electromagnetics through a survey chapter at the end of the book.
商品描述(中文翻譯)
這本書是一部獨立、自我導向且以學習者為中心的有限元素法(FEM)編程書籍,特別強調開發 MATLAB® 程式以進行電磁邊界值問題的數值建模。它通過逐步的 MATLAB® 程式和詳細的描述,提供對 FEM 編程的深入理解和直覺,最終使讀者能夠修改、調整並應用所提供的程式和公式,通過各種練習來開發針對類似問題的 FEM 代碼。書中從簡單的一維靜態和時間諧波問題開始,並將所發展的理論擴展到更複雜的二維或三維問題。它提供了足夠的理論背景,並徹底涵蓋了 FEM 的所有階段(前處理、主體和後處理)。FEM 公式是針對由偏微分方程所支配的邊界值問題而獲得的,這些方程以一般未知函數的形式表達,然後這些公式被專門化為各種電磁應用,並包含後處理階段。由於該方法主要在一般背景下描述,其他學科的讀者也可以使用這本書,並輕鬆地將所提供的代碼調整到他們的工程問題上。在通過典型問題建立對 FEM 基礎的堅實背景後,讀者將在書末的調查章節中被引導到更高級的電磁學 FEM 應用。