Search the Library Catalogue
Finite Elements I Approximation and Interpolation (Record no. 524090)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 02127nam a2200193Ia 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240821s9999 xx 000 0 und d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783030563400 |
| Paper back/Hardbound | hbk |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 620.001518 |
| Item number | ERN |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Ern, Alexandre |
| 245 #0 - TITLE STATEMENT | |
| Title | Finite Elements I Approximation and Interpolation |
| Statement of responsibility, etc | / Alexandre Ern and Jean-Luc Guermond |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher | Springer Nature |
| Year of publication | 2021 |
| Place of publication | Switzerland |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xii, 325 p. |
| Dimensions | ; 24 cm. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographies and index |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book is the first volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and includes exercises as well as solutions available from a dedicated website. The salient ideas can be addressed during lecture, with the rest of the content assigned as reading material. To engage the reader, the text combines examples, basic ideas, rigorous proofs, and pointers to the literature to enhance scientific literacy. Volume I is divided into 23 chapters plus two appendices on Banach and Hilbert spaces and on differential calculus. This volume focuses on the fundamental ideas regarding the construction of finite elements and their approximation properties. It addresses the all-purpose Lagrange finite elements, but also vector-valued finite elements that are crucial to approximate the divergence and the curl operators. In addition, it also presents and analyzes quasi-interpolation operators and local commuting projections. The volume starts with four chapters on functional analysis, which are packed with examples and counterexamples to familiarize the reader with the basic facts on Lebesgue integration and weak derivatives. Volume I also reviews important implementation aspects when either developing or using a finite element toolbox, including the orientation of meshes and the enumeration of the degrees of freedom. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Differential equations, Partial Numerical solutions |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Guermond, Jean-Luc |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | English Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Cost, normal purchase price | Full call number | Accession Number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Anna Centenary Library | Anna Centenary Library | 6TH FLOOR, A WING | 25.04.2024 | 5858.00 | 620.001518 ERN | 671936 | 21.08.2024 | Reference |