Proper generalized decompositions: an introduction to computer implementation with Matlab
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
[Cham]
Springer International Publishing
[2016]
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| Series: | SpringerBriefs in applied sciences and technology
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| Subjects: | |
| Online Access: | BTU01 FAB01 FAW01 FHA01 FHI01 FHN01 FHR01 FKE01 FRO01 FWS01 FWS02 UBY01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (xii, 96 p. 20 illus., 1 illus. in color) |
| ISBN: | 9783319299945 |
| DOI: | 10.1007/978-3-319-29994-5 |
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Record in the Search Index
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| adam_text | PROPER GENERALIZED DECOMPOSITIONS
/ CUETO, ELIAS
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
2 TO BEGIN WITH: PGD FOR POISSON PROBLEMS
2.1 INTRODUCTION
2.2 THE POISSON PROBLEM
2.3 MATRIX STRUCTURE OF THE PROBLEM
2.4 MATLAB CODE FOR THE POISSON PROBLEM
3 PARAMETRIC PROBLEMS
3.1 A PARTICULARLY CHALLENGING PROBLEM: A MOVING LOAD AS A PARAMETER
3.2 THE PROBLEM UNDER THE PGD FORMALISM
3.2.1 COMPUTATION OF S(S) ASSUMING R(X) IS KNOWN
3.2.2 COMPUTATION OF R(X) ASSUMING S(S) IS KNOWN
3.3 MATRIX STRUCTURE OF THE PROBLEM
3.4 MATLAB CODE FOR THE INFLUENCE LINE PROBLEM
4 PGD FOR NON-LINEAR PROBLEMS
4.1 HYPERELASTICITY
4.2 MATRIX STRUCTURE OF THE PROBLEM
4.2.1 MATRIX FORM OF THE TERM T2
4.2.2 MATRIX FORM OF THE TERM T4
4.2.3 MATRIX FORM OF THE TERM T6
4.2.4 MATRIX FORM FOR THE TERM T8
4.2.5 MATRIX FORM OF THE TERM T9
4.2.6 MATRIX FORM OF THE TERM T10
4.2.7 FINAL COMMENTS
4.3 MATLAB CODE
5 PGD FOR DYNAMICAL PROBLEMS
5.1 TAKING INITIAL CONDITIONS AS PARAMETERS
5.2 DEVELOPING THE WEAK FORM OF THE PROBLEM
5.3 MATRIX FORM OF THE PROBLEM
5.3.1 TIME INTEGRATION OF THE EQUATIONS OF MOTION
5.3.2 COMPUTING A REDUCED-ORDER BASIS FOR THE FIELD OF INITIAL
CONDITIONS
5.3.3 PROJECTION OF THE EQUATIONS ONTO A REDUCED, PARAMETRIC BASIS
5.4 MATLAB CODE
REFERENCES
INDEX.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
PROPER GENERALIZED DECOMPOSITIONS
/ CUETO, ELIAS
: 2016
ABSTRACT / INHALTSTEXT
THIS BOOK IS INTENDED TO HELP RESEARCHERS OVERCOME THE ENTRANCE BARRIER
TO PROPER GENERALIZED DECOMPOSITION (PGD), BY PROVIDING A VALUABLE TOOL
TO BEGIN THE PROGRAMMING TASK. DETAILED MATLAB CODES ARE INCLUDED FOR
EVERY CHAPTER IN THE BOOK, IN WHICH THE THEORY PREVIOUSLY DESCRIBED IS
TRANSLATED INTO PRACTICE. EXAMPLES INCLUDE PARAMETRIC PROBLEMS,
NON-LINEAR MODEL ORDER REDUCTION AND REAL-TIME SIMULATION, AMONG OTHERS.
PROPER GENERALIZED DECOMPOSITION (PGD) IS A METHOD FOR NUMERICAL
SIMULATION IN MANY FIELDS OF APPLIED SCIENCE AND ENGINEERING. AS A
GENERALIZATION OF PROPER ORTHOGONAL DECOMPOSITION OR PRINCIPAL COMPONENT
ANALYSIS TO AN ARBITRARY NUMBER OF DIMENSIONS, PGD IS ABLE TO PROVIDE
THE ANALYST WITH VERY ACCURATE SOLUTIONS FOR PROBLEMS DEFINED IN HIGH
DIMENSIONAL SPACES, PARAMETRIC PROBLEMS AND EVEN REAL-TIME SIMULATION.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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| spellingShingle | Cueto, Elias Proper generalized decompositions an introduction to computer implementation with Matlab Engineering Computer mathematics Physics Continuum mechanics Continuum Mechanics and Mechanics of Materials Computational Science and Engineering Numerical and Computational Physics Ingenieurwissenschaften |
| title | Proper generalized decompositions an introduction to computer implementation with Matlab |
| title_auth | Proper generalized decompositions an introduction to computer implementation with Matlab |
| title_exact_search | Proper generalized decompositions an introduction to computer implementation with Matlab |
| title_full | Proper generalized decompositions an introduction to computer implementation with Matlab Elías Cueto, David González, Icíar Alfaro |
| title_fullStr | Proper generalized decompositions an introduction to computer implementation with Matlab Elías Cueto, David González, Icíar Alfaro |
| title_full_unstemmed | Proper generalized decompositions an introduction to computer implementation with Matlab Elías Cueto, David González, Icíar Alfaro |
| title_short | Proper generalized decompositions |
| title_sort | proper generalized decompositions an introduction to computer implementation with matlab |
| title_sub | an introduction to computer implementation with Matlab |
| topic | Engineering Computer mathematics Physics Continuum mechanics Continuum Mechanics and Mechanics of Materials Computational Science and Engineering Numerical and Computational Physics Ingenieurwissenschaften |
| topic_facet | Engineering Computer mathematics Physics Continuum mechanics Continuum Mechanics and Mechanics of Materials Computational Science and Engineering Numerical and Computational Physics Ingenieurwissenschaften |
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