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06193cam a22003614a 4500 |
| 001 - CONTROL NUMBER |
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| control field |
12305149 |
| 003 - CONTROL NUMBER IDENTIFIER |
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OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20060721202122.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
010209s2001 enka b 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
2001021269 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0198502761 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
DLC |
| Transcribing agency |
DLC |
| Modifying agency |
DLC |
| 042 ## - AUTHENTICATION CODE |
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| Authentication code |
pcc |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
TA347.F5 |
| Item number |
B33 2001 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
620/.001/51535 |
| Edition number |
21 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Babuška, Ivo. |
| 9 (RLIN) |
590 |
| 245 14 - TITLE STATEMENT |
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| Title |
The finite element method and its reliability / |
| Statement of responsibility, etc |
Ivo Babuška and Theofanis Strouboulis. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Oxford, [England] : |
| Name of publisher, distributor, etc |
Clarendon Press ; |
| Place of publication, distribution, etc |
New York : |
| Name of publisher, distributor, etc |
Oxford University Press, |
| Date of publication, distribution, etc |
2001. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xi, 802 p. : |
| Other physical details |
ill. ; |
| Dimensions |
25 cm. |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE |
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| Title |
Numerical mathematics and scientific computation |
| 9 (RLIN) |
591 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and indexes. |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Machine generated contents note: 1 Introduction -- 1.0 Introduction -- 1.1 A brief history of the finite element method -- 1.2 On computational engineering -- 2 Mathematical formulation of the model problem -- 2.0 Introduction -- 2.1 The one-dimensional model problem -- 2.1* The two-dimensional model problem -- 2.2 The variational formulation of the model problem -- 2.2* The variational formulation of the model problem in two dimensions -- 2.3 Smoothness of the solution of the model problem -- 2.3* Smoothness of the solution of the two-dimensional model problem -- 2.4 Historical and bibliographical remarks -- 3 The finite element method -- 3.0 Introduction -- 3.1 The Galerkin method and the properties of the approximate solution -- 3.1* The Galerkin method in two dimensions -- 3.2 The finite element method -- 3.2* The finite element method in two dimensions -- 3.3 The finite element interpolation and approximation error -- 3.3* The finite element interpolation and approximation error in -- two dimensions -- 3.4 The finite element interpolation and approximation: a special case -- 3.4* The interpolation error for the function ragp(0) in two dimensions -- 3.5 The description of the mesh and analyses of its optimality -- 3.5* The description of the mesh and analysis of its optimality in -- two dimensions -- 3.6 Historical and bibliographical comments -- 4 Local behavior in the finite element method -- 4.0 Introduction -- 4.1 A-priori estimates for the nodal errors and the maximum error -- 4.1* A-priori estimates for the nodal errors and the maximum error in -- two dimensions -- 4.2 A-priori estimates for negative norms of the error -- 4.2* A-priori estimates for negative norms of the error in two dimensions -- 4.3 Local and pollution error in the finite element solution -- 4.3* The splitting of the error in the two-dimensional case -- 4.4 A-priori estimates for the pollution error -- 4.4* A-priori estimates for the pollution error in two dimensions -- 4.5 Further analysis of the pollution error: Interior estimates -- 4.5* The interior estimates in two dimensions -- 4.6 A-priori estimates for the local error: superconvergence -- 4.6* Superconvergence in two dimensions -- 4.7 A general approach for the analysis of local behavior of finite -- element methods for locally periodic meshes and its applications -- 4.7* A general approach for local asymptotic analysis and analysis of -- the superconvergence in two dimensions -- 4.8 Superconvergence via local averaging -- 4.8* Superconvergence based on local recovery: the two-dimensional case -- 4.9 Historical and bibliographical comments -- 5 A-posteriori estimation of the error -- 5.0 Introduction -- 5.1 The residuum and the construction of lower and upper estimators -- for the energy norm of the error -- 5.1* The residuum and the construction of lower and upper estimators -- for the energy norm of the error: the two dimensional case -- 5.2 Analysis of the Dirichlet element residual estimator -- 5.2* Analysis of the Dirichlet element residual estimator in two dimensions -- 5.3 Analysis of the Neumann element residual estimator -- 5.3* Analysis of the Neumann element residual estimator in two -- dimensions -- 5.4 Subdomain residual estimates -- 5.4* Subdomain residual estimates in two dimensions -- 5.5 Analysis of the explicit element residual estimator -- 5.5* Analysis of the explicit element residual estimator in two dimensions -- 5.6 A-posteriori error estimates based on local averaging -- 5.6* A-posteriori estimates based on local averaging: the -- two-dimensional case -- 5.7 The effectivity of the error indicators: the principles for their -- comparison and the detailed analysis of their quality -- 5.7* The asymptotic analysis of the effectiveness of the element error -- indicators in two dimensions -- 5.8 Historical and bibliographical comments -- 6 Guaranteed a-posteriori error estimation and a-posteriori -- estimation of the pollution error -- 6.0 Introduction -- 6.1 Upper and lower bounds for the energy norm of the error -- 6.1* Upper and lower bounds for the energy norm of the error in -- two dimensions -- 6.2 Upper and lower bounds for the error in the output, and -- a-posteriori estimation of the pollution -- 6.2* Upper and lower bounds for the error in the outputs, and -- a-posteriori estimation of the pollution error in two dimensions -- 6.3* Historical and bibliographical comments -- .epilogue -- / Appendix to chapter 2 -- Appendix to chapter 3 -- Glossary of symbols -- Author Index -- Subject Index. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Finite element method. |
| 9 (RLIN) |
592 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Reliability (Engineering) |
| 9 (RLIN) |
593 |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Strouboulis, Theofanis. |
| 9 (RLIN) |
594 |
| 856 4# - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Table of Contents only |
| Uniform Resource Identifier |
<a href="http://www.loc.gov/catdir/toc/fy02/2001021269.html">http://www.loc.gov/catdir/toc/fy02/2001021269.html</a> |
| 856 42 - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Publisher description |
| Uniform Resource Identifier |
<a href="http://www.loc.gov/catdir/enhancements/fy0612/2001021269-d.html">http://www.loc.gov/catdir/enhancements/fy0612/2001021269-d.html</a> |
| 906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
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7 |
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cbc |
| c |
orignew |
| d |
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| e |
ocip |
| f |
20 |
| g |
y-gencatlg |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Koha item type |
Books |