Finite Element Methods and Their Applications

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Focusing on the finite element method, this book provides a clear and practical introduction to its fundamentals, variants, and applications. It emphasizes simplicity and rigor in explaining concepts, making it accessible yet thorough. The content is derived from years of teaching at Southern Methodist University and other institutions, as well as summer schools in various countries. Key topics include standard methods, nonconforming and mixed methods, and adaptive techniques, with applications spanning solid mechanics, fluid mechanics, and semiconductor modeling.