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Finite Elements Ii Galerkin Approximation Elliptic and Mixed Pdes (Record no. 524091)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02414nam a2200217Ia 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240821s9999 xx 000 0 und d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783030569228 |
| 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 Ii Galerkin Approximation Elliptic and Mixed Pdes |
| Statement of responsibility, etc | / Alexandre Ern and Jean-Lue Guermond |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher | Springer |
| Year of publication | 2021 |
| Place of publication | Cham, Switzerland |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | ix, 492 p. |
| Other physical details | : ill. (some col.) |
| Dimensions | ; 24 cm. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographies and index |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book is the second 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 II is divided into 32 chapters plus one appendix. The first part of the volume focuses on the approximation of elliptic and mixed PDEs, beginning with fundamental results on well-posed weak formulations and their approximation by the Galerkin method. The material covered includes key results such as the BNB theorem based on inf-sup conditions, Céa's and Strang's lemmas, and the duality argument by Aubin and Nitsche. Important implementation aspects regarding quadratures, linear algebra, and assembling are also covered. The remainder of Volume II focuses on PDEs where a coercivity property is available. It investigates conforming and nonconforming approximation techniques (Galerkin, boundary penalty, Crouzeix--Raviart, discontinuous Galerkin, hybrid high-order methods). These techniques are applied to elliptic PDEs (diffusion, elasticity, the Helmholtz problem, Maxwell's equations), eigenvalue problems for elliptic PDEs, and PDEs in mixed form (Darcy and Stokes flows). Finally, the appendix addresses fundamental results on the surjectivity, bijectivity, and coercivity of linear operators in Banach spaces.<br/>. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Engineering |
| Topical Term | Functional analysis |
| Topical Term | Finite element method |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Guermond, Jean-Lue |
| 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 | 671937 | 21.08.2024 | Reference |