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Main Authors:	Rappaz, Michel (Author), Bellet, Michel (Author), Deville, Michel (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 2010
Edition:	1. softcover print.
Series:	Springer series in computational mathematics 32
Subjects:	Phasenumwandlung Finite-Differenzen-Methode Finite-Elemente-Methode Numerisches Modell Fluid Deformation Festkörper Inkompressible Strömung
Links:	http://deposit.dnb.de/cgi-bin/dokserv?id=3408964&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020198954&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	XI, 540 S. Ill., graph. Darst.
ISBN:	9783642118203 9783642118210 9783540426769

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Record in the Search Index

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adam_text	TABLE OF CONTENTS PREFACE VII CHAPTER 1 CONTINUOUS MEDIA 1 1.1 OBJECTIVES 1 1.2 CONSERVATION AND CONTINUITY EQUATIONS 2 1.3 CONSTITUTIVE EQUATIONS 25 1.4 BOUNDARY AND INITIAL CONDITIONS 35 1.5 EXERCISES 44 1.6 BIBLIOGRAPHY 45 CHAPTER 2 THE FINITE DIFFERENCE METHOD 47 2.1 OBJECTIVES 47 2.2 ONE DIMENSIONAL CASE 48 2.3 TWO DIMENSIONAL PROBLEMS 68 2.4 SOME OTHER ASPECTS OF FDM 81 2.5 EXAMPLE 89 2.6 EXERCISES 91 2.7 BIBLIOGRAPHY 92 CHAPTER 3 THE FINITE ELEMENT METHOD 93 3.1 OBJECTIVES 93 3.2 GENERAL PRINCIPLES: GEOMETRIC DISCRETIZATION AND INTEGRATION 94 3.3 OBTAINING AND DISCRETIZING THE INTEGRAL FORM FOR A SCALAR PROBLEM: A CHEMICAL DIFFUSION EXAMPLE 111 3.4 SOLUTION OF A VECTOR PROBLEM: MECHANICAL EQUILIBRIUM EXAMPLE 117 3.5 IMPLEMENTATION 129 3.6 NON STATIONARY PROBLEMS 139 3.7 EXERCISES 146 3.8 BIBLIOGRAPHY 147 CHAPTER 4 ELEMENTS OF NUMERICAL ALGORITHMS 149 4.1 OBJECTIVES 149 4.2 METHODS FOR GENERATING MESHES 150 4.3 SOLUTION METHODS FOR LINEAR SYSTEMS 173 4.4 STORAGE OF MATRICES IN MEMORY 189 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/99926351X DIGITALISIERT DURCH 9.5 MONTE CARLO METHOD 492 X 4.5 NON LINEAR PROBLEMS 198 4.6 EXERCISES 204 4.7 BIBLIOGRAPHY 205 CHAPTER 5 PHASE TRANSFORMATIONS 207 5.1 OBJECTIVES 207 5.2 STATE EQUATIONS 208 5.3 INITIAL AND BOUNDARY CONDITIONS 240 5.4 NUMERICAL TREATMENT 253 5.5 EXAMPLES 266 5.6 EXERCISES 284 5.7 BIBLIOGRAPHY 285 CHAPTER 6 DEFORMATION OF SOLIDS 287 6.1 OBJECTIVES 287 6.2 CONSTITUTIVE EQUATIONS 287 6.3 BOUNDARY CONDITIONS 310 6.4 NUMERICAL TREATMENT 318 6.5 EXAMPLES 332 6.6 EXERCISES 362 6.7 BIBLIOGRAPHY 363 CHAPTER 7 INCOMPRESSIBLE FLUID FLOW 365 7.1 OBJECTIVES 365 7.2 CONSTITUTIVE EQUATIONS 366 7.3 BOUNDARY AND INITIAL CONDITIONS 380 7.4 NUMERICAL TREATMENT OF THE NAVIER-STOKES PROBLEM 387 7.6 EXAMPLES 423 7.7 EXERCISES 442 7.8 BIBLIOGRAPHY 444 CHAPTER 8 INVERSE METHODS 447 8.1 OBJECTIVES 447 8.2 A SIMPLE LINEAR ONE DIMENSIONAL PROBLEM 448 8.3 A NON LINEAR ONE DIMENSIONAL PROBLEM 452 8.4 INVERSE METHOD WITH TIME INDEPENDENT PARAMETERS 457 8.5 INVERSE METHOD WITH TIME DEPENDENT PARAMETERS 464 8.6 EXAMPLES 468 8.7 EXERCISES 473 8.8 BIBLIOGRAPHY 475 CHAPTER 9 STOCHASTIC METHODS 477 9.1 OBJECTIVES 477 9.2 GENERATION OF RANDOM NUMBERS 478 9.3 INTEGRATION BY STOCHASTIC METHODS 485 9.4 SOLUTION OF SYSTEMS OF EQUATIONS 488 INDEX 535 TABLE OF CONTENTS XI 9.6 RANDOM WALKERS METHOD 498 9.7 CELLULAR AUTOMATA METHOD 506 9.8 EXAMPLES 510 9.9 EXERCISES 514 9.10 BIBLIOGRAPHY 515 CHAPTER 10 APPENDICES 517 10.1 TABLE OF SYMBOLS 517 10.2 VECTOR CALCULUS 521 10.3 GAUSS INTEGRATION METHOD 525 10.4 NON DIMENSIONAL NUMBERS 531 10.5 INTERPRETATION OF THE TERMS OF THE ELEMENTARY STIFFNESS MATRIX FOR A DIFFUSION PROBLEM ON A TRIANGULAR LINEAR FINITE ELEMENT 532
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author	Rappaz, Michel Bellet, Michel Deville, Michel
author_facet	Rappaz, Michel Bellet, Michel Deville, Michel
author_role	aut aut aut
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dewey-full	620.1001518
dewey-hundreds	600 - Technology (Applied sciences)
dewey-ones	620 - Engineering and allied operations
dewey-raw	620.1001518
dewey-search	620.1001518
dewey-sort	3620.1001518
dewey-tens	620 - Engineering and allied operations
discipline	Maschinenbau / Maschinenwesen Mathematik
edition	1. softcover print.
format	Book
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physical	XI, 540 S. Ill., graph. Darst.
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series	Springer series in computational mathematics
series2	Springer series in computational mathematics
spellingShingle	Rappaz, Michel Bellet, Michel Deville, Michel Numerical modeling in materials science and engineering Springer series in computational mathematics Phasenumwandlung (DE-588)4132140-6 gnd Finite-Differenzen-Methode (DE-588)4194626-1 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Numerisches Modell (DE-588)4338132-7 gnd Fluid (DE-588)4017690-3 gnd Deformation (DE-588)4070262-5 gnd Festkörper (DE-588)4016918-2 gnd Inkompressible Strömung (DE-588)4129759-3 gnd
subject_GND	(DE-588)4132140-6 (DE-588)4194626-1 (DE-588)4017233-8 (DE-588)4338132-7 (DE-588)4017690-3 (DE-588)4070262-5 (DE-588)4016918-2 (DE-588)4129759-3
title	Numerical modeling in materials science and engineering
title_alt	Modélisation numérique en science et génie des matériaux
title_auth	Numerical modeling in materials science and engineering
title_exact_search	Numerical modeling in materials science and engineering
title_full	Numerical modeling in materials science and engineering Michel Rappaz ; Michel Bellet ; Michel Deville
title_fullStr	Numerical modeling in materials science and engineering Michel Rappaz ; Michel Bellet ; Michel Deville
title_full_unstemmed	Numerical modeling in materials science and engineering Michel Rappaz ; Michel Bellet ; Michel Deville
title_short	Numerical modeling in materials science and engineering
title_sort	numerical modeling in materials science and engineering
topic	Phasenumwandlung (DE-588)4132140-6 gnd Finite-Differenzen-Methode (DE-588)4194626-1 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Numerisches Modell (DE-588)4338132-7 gnd Fluid (DE-588)4017690-3 gnd Deformation (DE-588)4070262-5 gnd Festkörper (DE-588)4016918-2 gnd Inkompressible Strömung (DE-588)4129759-3 gnd
topic_facet	Phasenumwandlung Finite-Differenzen-Methode Finite-Elemente-Methode Numerisches Modell Fluid Deformation Festkörper Inkompressible Strömung
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