Electronic Resource

The finite element method: theory, implementation, and applications

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This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics.​

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

E777

Penerbit

Jerman : Springer Berlin, Heidelberg., 2013

Deskripsi Fisik

xvii, 395 hlm.

Bahasa

English

ISBN/ISSN

9783642332876

Klasifikasi

NONE

Tipe Isi

text

Tipe Media

computer

Tipe Pembawa

online resource

Edisi

Ed.1

Subjek

Sains dan Rekayasa Komputasi

Info Detail Spesifik

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Pernyataan Tanggungjawab

Mats G. Larson, Fredrik Bengzon

Versi lain/terkait

Lampiran Berkas

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