The Finite Element Method: Theory, Implementation, and Application
نام عام مواد
[Book]
ساير اطلاعات عنواني
:[delta
نام نخستين پديدآور
/ by Mats G. Larson, Fredrik Bengzon
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Berlin, Heidelberg
نام ناشر، پخش کننده و غيره
: Springer Berlin Heidelberg :Imprint: Springer,
تاریخ نشرو بخش و غیره
, 2013.
مشخصات ظاهری
نام خاص و کميت اثر
XVII, 385 p. 84 illus., 5 illus. in color., online resource.
فروست
عنوان فروست
(Texts in Computational Science and Engineering,1611-0994
مشخصه جلد
; 10)
یادداشتهای مربوط به نشر، بخش و غیره
متن يادداشت
Electronic
یادداشتهای مربوط به مندرجات
متن يادداشت
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.
متن يادداشت
1. Piecewise Polynomial Approximation in 1D -- 2. The Finite Element Method in 1D -- 3. Piecewise Polynomial Approximation in 2D -- 4. The Finite Element Method in 2D -- 5. Time-dependent Problems -- 6. Solving Large Sparse Linear Systems -- 7. Abstract Finite Element Analysis -- 8. The Finite Element -- 9. Non-linear Problems -- 10. Transport Problems -- 11. Solid Mechanics -- 12. Fluid Mechanics -- 13. Electromagnetics -- 14. Discontinuous Galerkin Methods -- A. Some Additional Matlab Code -- References.?╗╣
فروست (داده ارتباطی)
عنوان
Texts in Computational Science and Engineering,1611-0994
شماره جلد
10
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Mathematics
موضوع مستند نشده
Computer aided design
موضوع مستند نشده
Differential equations, partial
موضوع مستند نشده
Computer science, Mathematics
موضوع مستند نشده
Computer science
موضوع مستند نشده
Mechanics, applied
موضوع مستند نشده
Electronic books
رده بندی کنگره
شماره رده
E-BOOK
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )