Finite Element Approximation of Boundary Value Problems
This textbook provides an accessible introduction to the mathematical foundations of the finite element method for a broad audience. The author accomplishes this, in part, by including numerous exercises and illustrations. Each chapter begins with a clear outline to help make complex concepts more a...
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| Egile nagusia: | |
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| Erakunde egilea: | |
| Formatua: | Baliabide elektronikoa eBook |
| Hizkuntza: | ingelesa |
| Argitaratua: |
Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2025.
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| Edizioa: | 1st ed. 2025. |
| Saila: | Compact Textbooks in Mathematics,
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| Gaiak: | |
| Sarrera elektronikoa: | https://doi.org/10.1007/978-3-031-72530-2 |
| Etiketak: |
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|---|---|---|---|
| 001 | 978-3-031-72530-2 | ||
| 003 | DE-He213 | ||
| 005 | 20260810170354.0 | ||
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| 008 | 241107s2025 sz | o |||| 0|eng d | ||
| 020 | |a 9783031725302 |9 978-3-031-72530-2 | ||
| 024 | 7 | |a 10.1007/978-3-031-72530-2 |2 doi | |
| 050 | 4 | |a QA297-299.4 | |
| 072 | 7 | |a PBKS |2 bicssc | |
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| 072 | 7 | |a PBKS |2 thema | |
| 082 | 0 | 4 | |a 518 |2 23 |
| 100 | 1 | |a Chouly, Franz. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Finite Element Approximation of Boundary Value Problems |h [electronic resource] / |c by Franz Chouly. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Birkhäuser, |c 2025. | |
| 300 | |a 1 online resource (XIII, 153 p. 25 illus.). |b 9 illus. in color. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Compact Textbooks in Mathematics, |x 2296-455X | |
| 505 | 0 | |a -- Introduction. -- A simple mathematical model. -- Low order Lagrange Finite Elements. -- The standard Finite Element Method. -- Nitsche Finite Element Method. -- Nitsche for Signorini. -- About meshing and discretization error. | |
| 520 | |a This textbook provides an accessible introduction to the mathematical foundations of the finite element method for a broad audience. The author accomplishes this, in part, by including numerous exercises and illustrations. Each chapter begins with a clear outline to help make complex concepts more approachable without sacrificing depth. Structurally, the book begins with the simplest type of finite element method: low order, piecewise continuous, Lagrange finite elements. With this, crucial questions about the stability and approximation errors are answered. Of particular note is the author’s coverage of two specific topics that often go overlooked in introductory material. The first is the numerical treatment of boundary conditions, especially the Nitsche technique. The second is a detailed explanation of the discretization error using specific techniques of a posteriori error estimation. With the book’s compact yet thorough treatment of these areas, readers will have a clear understanding of how mathematical analysis tools can be used in practice. Finite Element Approximation of Boundary Value Problems will be suitable as a supplementary textbook in applied mathematics courses for graduate students, and may also be used for self-study. | ||
| 588 | |a Print version record. | ||
| 650 | 0 | |a Numerical analysis. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 1 | 4 | |a Numerical Analysis. |
| 650 | 2 | 4 | |a Differential Equations. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031725296 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031725319 |
| 830 | 0 | |a Compact Textbooks in Mathematics, |x 2296-455X | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-72530-2 |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 912 | |a ZDB-2-251 | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||
| 950 | |a Focus Bundle Mathematics and Statistics (SpringerNature-85421) | ||