MARC details
| 000 -LEADER |
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| fixed length control field |
05501 a2200265 4500 |
| 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 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
|
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
620/.001/51535 |
| 084 ## - OTHER CLASSIFICATION NUMBER |
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| Number source |
65-01 (65M15 65M60 65N15 65N30) |
| 090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (RLIN) |
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| -- |
9092 |
| -- |
9092 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Babuéska, Ivo |
| 245 14 - TITLE STATEMENT |
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| Title |
The finite element method and its reliability |
| Statement of responsibility, etc. |
Ivo Babuéska and Theofanis Strouboulis |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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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 |
|---|
| 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 |
| 500 ## - GENERAL NOTE |
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| General note |
Contine bibliogr. si index |
| 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 |
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| Topical term or geographic name entry element |
Finite element method |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Reliability (Engineering) |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Strouboulis, Theofanis |
| 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 4# - ELECTRONIC LOCATION AND ACCESS |
|---|
| 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> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Institution code [OBSOLETE] |
IMAR |
| Koha item type |
Carti |
| Serial record flag |
RM |