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عدد المساهمات : 18967 التقييم : 35407 تاريخ التسجيل : 01/07/2009 الدولة : مصر العمل : مدير منتدى هندسة الإنتاج والتصميم الميكانيكى
| موضوع: كتاب Design of Adaptive Finite Element Software الجمعة 15 أغسطس 2014, 5:57 pm | |
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أخوانى فى الله أحضرت لكم كتاب
Design of Adaptive Finite Element Software - Alfred Schmidt & Kunibert G. Siebert Editors Timothy J. Barth, Moffett Field, CA Michael Griebel, Bonn David E. Keyes, New York Risto M. Nieminen, Espoo Dirk Roose, Leuven Tamar Schlick, New York
ويتناول الموضوعات الأتية :
Introduction 1 1 Concepts and abstract algorithms 9 11 Meshrefinement andcoarsening 9 111 Refinement algorithms for simplicial meshes 12 112 Coarsening algorithm for simplicial meshes18 113 Operations during refinement and coarsening 20 12 Thehierarchicalmesh 22 13 Degreesof freedom 24 14 Finite element spaces and finite element discretization 25 141 Barycentriccoordinates 26 142 Finiteelement spaces 29 143 Evaluationof finiteelement functions 29 144 Interpolation and restriction during refinement and coarsening 32 145 Discretizationof 2ndorder problems 35 146 Numericalquadrature 38 147 Finite element discretization of 2nd order problems39 15 AdaptiveMethods 42 151 Adaptive method for stationaryproblems 42 152 Meshrefinementstrategies 43 153 Coarseningstrategies 47 154 Adaptive methods for time dependent problems 49 2 Implementation of model problems 55 21 Poissonequation 56 211 Include file andglobalvariables 56 212 The main program for the Poisson equation57 213 The parameter file for the Poissonequation 59 214 Initializationof thefiniteelement space 60 215 Functions for leaf data 60 XContents 216 Data of the differentialequation 62 217 The assemblageof the discretesystem 63 218 Thesolutionof thediscretesystem 65 219 Errorestimation 66 22 Nonlinear reaction–diffusionequation 68 221 Program organization and header file 69 222 Globalvariables 71 223 The main program for the nonlinear reaction–diffusion equation 71 224 Initialization of the finite element space and leaf data 72 225 Thebuildroutine 72 226 Thesolveroutine 73 227 Theestimatorfor thenonlinear problem 73 228 Initializationof problemdependent data 75 229 The parameter file for the nonlinear reaction–diffusion equation 79 2210 Implementation of the nonlinear solver80 23 Heat equation 93 231 Globalvariables 93 232 The main program for the heat equation 94 233 The parameter file for the heat equation 96 234 Functions for leaf data 98 235 Data of the differentialequation 99 236 Timediscretization100 237 Initialdata interpolation 100 238 The assemblageof the discretesystem 101 239 Errorestimation 105 2310 Timesteps 107 24 Installation ofALBERTAand fileorganization111 241 Installation111 242 Fileorganization 111 3 Data structures and implementation113 31 Basic types, utilities, and parameter handling113 311 Basictypes 113 312 Messagemacros114 313 Memoryallocationanddeallocation 118 314 Parametersandparameter files122 315 Parameters used by the utilities 127 316 Generating filenames for meshes and finite element data 127 32 Data structures for the hierarchicalmesh 128 321 Constants describing the dimension of the mesh 128 322 Constants describing the elements of the mesh 129 323 Neighbour information 129 Contents XI 324 Elementindices 130 325 TheBOUNDARYdata structure 130 326 Thelocalindexing onelements132 327 TheMACROELdata structure132 328 TheELdata structure134 329 TheELINFOdata structure135 3210 TheNEIGH, OPPVERTEXandELTYPEmacros137 3211 TheINDEXmacro137 3212 TheLEAFDATAINFOdata structure 138 3213 TheRCLISTELdata structure140 3214 TheMESHdata structure 141 3215 Initializationof meshes 143 3216 Reading macrotriangulations 144 3217 Writing macrotriangulations 150 3218 Import and export of macro triangulations from/to other formats 151 3219 Meshtraversalroutines 153 33 Administrationof degreesof freedom161 331 TheDOFADMINdata structure 162 332 Vectors indexed by DOFs: TheDOF*VECdata structures 164 333 Interpolation and restriction of DOF vectors during meshrefinementandcoarsening167 334 TheDOFMATRIXdata structure 168 335 Access to global DOFs: Macros for iterations using DOFindices 170 336 Access to local DOFs on elements171 337 BLAS routines for DOF vectors and matrices 173 338 Reading and writing of meshes and vectors173 34 The refinement andcoarsening implementation176 341 Therefinementroutines176 342 Thecoarseningroutines 182 35 Implementationof basis functions 183 351 Data structures for basis functions184 352 Lagrangefiniteelements190 353 Piecewise constant finite elements191 354 Piecewise linear finite elements 191 355 Piecewise quadratic finite elements 195 356 Piecewise cubic finite elements 200 357 Piecewise quartic finite elements 204 358 Access to Lagrange elements 206 36 Implementationof finite element spaces 206 361 The finite element space data structure 206 362 Access to finite element spaces 207 37 Routines for barycentriccoordinates 208 XII Contents 38 Data structures for numericalquadrature210 381 TheQUADdata structure 210 382 TheQUADFASTdata structure 212 383 Integration over sub–simplices (edges/faces) 215 39 Functions for theevaluationof finiteelements216 310 Calculation of norms for finite element functions 221 311 Calculation of errors of finite element approximations222 312 Tools for the assemblageof linear systems 224 3121 Assembling matrices and right hand sides 224 3122 Data structures and function for matrix assemblage227 3123 Data structures for storing pre–computed integrals of basis functions 236 3124 Data structures and functions for vector update 243 3125 Dirichlet boundary conditions247 3126 Interpolationinto finite element spaces248 313 Data structures and procedures for adaptive methods249 3131ALBERTAadaptive method for stationary problems249 3132 StandardALBERTAmarking routine255 3133ALBERTAadaptive method for time dependent problems 256 3134 Initialization of data structures for adaptive methods 260 314 Implementationof errorestimators 263 3141 Error estimator for elliptic problems 263 3142 Error estimator for parabolic problems266 315 Solverfor linear andnonlinearsystems 268 3151 Generallinear solvers 268 3152 Linear solvers for DOF matrices and vectors 272 3153 Access of functions for matrix–vector multiplication 274 3154 Access of functions for preconditioning275 3155 Multigridsolvers 277 3156 Nonlinear solvers282 316 Graphics output285 3161 One and two dimensional graphics subroutines 286 3162 gltools interface 290 3163 GRAPEinterface293 References295 Index301 Data types, symbolic constants, functions, and macros311 Data types 311 Symbolicconstants311 Functions 312 Macros
أتمنى أن تستفيدوا منه وأن ينال إعجابكم رابط تنزيل كتاب Design of Adaptive Finite Element Software - Alfred Schmidt & Kunibert G. Siebert
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