東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Finite element approximation of boun...

Chouly, Franz.

FindBook

Google Book

Amazon

博客來

Finite element approximation of boundary value problems

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Finite element approximation of boundary value problems/ by Franz Chouly.
作者:	Chouly, Franz.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	xiii, 153 p. :ill. (some col.), digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	Finite element method. -
電子資源:	https://doi.org/10.1007/978-3-031-72530-2
ISBN:	9783031725302

Finite element approximation of boundary value problems
Chouly, Franz.

Finite element approximation of boundary value problems[electronic resource] /by Franz Chouly. - Cham :Springer Nature Switzerland :2025. - xiii, 153 p. :ill. (some col.), digital ;24 cm. - Compact textbooks in mathematics,2296-455X. - Compact textbooks in mathematics..

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.

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.

ISBN: 9783031725302

Standard No.: 10.1007/978-3-031-72530-2doiSubjects--Topical Terms:

579714
Finite element method.

LC Class. No.: QC20.7.F56

Dewey Class. No.: 518.25

Finite element approximation of boundary value problems
LDR:02535nmm a2200337 a 4500 001 2408405
003 DE-He213
005 20241107115748.0
006 m d
007 cr nn 008maaau
008 260204s2025 sz s 0 eng d
020 $a 9783031725302 $q (electronic bk.)
020 $a 9783031725296 $q (paper)
024 7 $a 10.1007/978-3-031-72530-2 $2 doi
035 $a 978-3-031-72530-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QC20.7.F56
072 7 $a PBKS $2 bicssc
072 7 $a MAT041000 $2 bisacsh
072 7 $a PBKS $2 thema
082 0 4 $a 518.25 $2 23
090 $a QC20.7.F56 $b C552 2025
100 1 $a Chouly, Franz. $3 3662214
245 1 0 $a Finite element approximation of boundary value problems $h [electronic resource] / $c by Franz Chouly.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Birkhäuser, $c 2025.
300 $a xiii, 153 p. : $b ill. (some col.), digital ; $c 24 cm.
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.
650 0 $a Finite element method. $3 579714
650 0 $a Boundary value problems. $3 527599
650 1 4 $a Numerical Analysis. $3 892626
650 2 4 $a Differential Equations. $3 907890
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Compact textbooks in mathematics. $3 2107015
856 4 0 $u https://doi.org/10.1007/978-3-031-72530-2
950 $a Mathematics and Statistics (SpringerNature-11649)