Description
The Mathematics of Finite Elements and Applications V is the summary of invited papers and the abstracts of the poster papers in the fifth conference on The Mathematics of Finite Elements and Applications, MAFELAP 1984, held at Brunei University in May 1984. Said symposium discussedfield of finite elements, including its techniques, theory, application, and implementation .
The coverage of the book includes a wide range of mathematical topics under finite elements, including its method, calculations, analysis, and applications. The book also encompasses topics of computer-generated geometric design interface; modeling in an integrated computer design; and determination of dimensional field lines. Acidized channels in chalk formations, elastodynamics, stress analysis, and infinite elements are also discussed. The book also looks at isoparametric and hierarchical element procedures and Petrov-Galerkin methods.
The text is recommended for mathematicians, engineers, and those in the field of information technology who would like to know more about finite elements and its applications in their respective fields.
Chapter
CHAPTER 2. FINITE ELEMENT CALCULATIONS OF PARAMETERS FOR SINGULARITIES IN PROBLEMS OF FRACTURE
pp.:
46 – 68
CHAPTER 3. NEW SOLUTION PROCEDURES FOR LINEAR AND NON-LINEAR FINITE ELEMENT ANALYSIS
pp.:
68 – 102
CHAPTER 4. AUTOMATIC MESH GENERATION: A FINITE ELEMENT/COMPUTER AIDED GEOMETRIC DESIGN INTERFACE
pp.:
102 – 116
CHAPTER 5. FINITE ELEMENT MODELING IN AN INTEGRATED COMPUTER AIDED DESIGN ENVIRONMENT
pp.:
116 – 124
CHAPTER 6. A METHOD FOR DETERMINATION OF TWO DIMENSIONAL FIELD LINES
pp.:
124 – 132
CHAPTER 7. FINITE ELEMENT ON THE D.A.P.
pp.:
132 – 142
CHAPTER 8. DESIGN AND IMPLEMENTATION OF AN EFFICIENT THREE-DIMENSIONAL FINITE ELEMENT CODE FOR HIGH TEMPERATURE PROBLEMS
pp.:
142 – 156
CHAPTER 9. FINITE ELEMENT MODELLING OF VISCOELASTIC MATERIAL RESPONSE OF POLYMERIC STRUCTURES
pp.:
156 – 168
CHAPTER 10. FINITE ELEMENTS WITH SINGULAR SHAPE FUNCTIONS FOR QUADRILATERAL AND BRICK ELEMENTS
pp.:
168 – 176
CHAPTER 11. THE FINAL SHAPE OF ACIDIZED CHANNELS IN CHALK FORMATIONS AFTER FRACTURE CLOSURE
pp.:
176 – 186
CHAPTER 12. AN ASSESSMENT OF DIFFERENT THREE-DIMENSIONAL ELEMENT MODELS IN LINEAR ELASTIC FRACTURE MECHANICS
pp.:
186 – 194
CHAPTER 13. NUMERICAL STUDIES OF BIFURCATION AND PULSE EVOLUTION IN MATHEMATICAL BIOLOGY
pp.:
194 – 212
CHAPTER 14. ON SOME MATHEMATICAL ASPECTS OF BOUNDARY ELEMENT METHODS FOR ELLIPTIC PROBLEMS
pp.:
212 – 248
CHAPTER 15. THE SOLUTION OF TIME DEPENDENT PROBLEMS USING BOUNDARY ELEMENTS
pp.:
248 – 276
CHAPTER 16. A BOUNDARY ELEMENT METHOD FOR STOKES EQUATIONS IN 3-D EXTERIOR DOMAINS
pp.:
276 – 284
CHAPTER 17. CREATION OF A MASS MATRIX IN ELASTODYNAMICS BY THE BOUNDARY ELEMENT METHOD
pp.:
284 – 292
CHAPTER 18. STRESS ANALYSIS WITH A COMBINATION OF HSM AND BEM
pp.:
292 – 302
CHAPTER 19. INFINITE ELEMENTS FOR THE ANALYSIS OF UNBOUNDED DOMAIN PROBLEMS
pp.:
302 – 310
CHAPTER 20. COMBINING ISOPARAMETRIC AND HIERARCHICAL ELEMENT PROCEDURES
pp.:
310 – 320
CHAPTER 21. ON THE IMPROVEMENT OF THE NUMERICAL ACCURACY OF FEM-SOLUTIONS
pp.:
320 – 328
CHAPTER 22. A GENERAL FINITE ELEMENT FRAMEWORK FOR NODAL METHODS
pp.:
328 – 336
CHAPTER 23. IMPLEMENTING FINITE ELEMENT METHODS ON A SUPERCOMPUTER
pp.:
336 – 344
CHAPTER 24. ERROR BOUNDS FOR THE APPROXIMATION OF THE STOKES PROBLEM USING BILINEAR/CONSTANT ELEMENTS ON IRREGULAR QUADRILATERAL MESHES
pp.:
344 – 354
CHAPTER 25. MIXED FINITE ELEMENT APPROXIMATION OF A FLUID FLOW PROBLEM
pp.:
354 – 362
CHAPTER 26. PETROV-GALERKIN METHODS AND DIFFUSION-CONVECTION PROBLEMS IN 2D
pp.:
362 – 386
CHAPTER 27. SOME SUPERCONVERGENCE RESULTS FOR MIXED FINITE ELEMENT METHODS FOR ELLIPTIC PROBLEMS ON RECTANGULAR DOMAINS
pp.:
386 – 410
CHAPTER 28. ON OPTIMIZATION ASPECTS OF A CFD FINITE ELEMENT PENALTY ALGORITHM
pp.:
410 – 434
CHAPTER 29. FINITE ELEMENTS FOR NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS AND THEIR INTEGRATION IN TIME
pp.:
434 – 440
CHAPTER 30. MOVING FINITE ELEMENT METHODS FOR THE SOLUTION OF EVOLUTIONARY EQUATIONS IN ONE AND TWO DIMENSIONS
pp.:
440 – 450
CHAPTER 31. ON THE CONVERGENCE OF A FINITE ELEMENT METHOD FOR SOLVING A NONLINEAR FREE BOUNDARY PROBLEM RELATED TO MHD EQUILIBRIA
pp.:
450 – 460
CHAPTER 32. ON THE NORM OF THE SOBOLEV IMBEDDING OF H2(G) INTO C(G) FOR SQUARE DOMAINS IN IR2
pp.:
460 – 470
CHAPTER 33. GROUPS, SYMMETRY, AND VARIATIONAL BOUNDARY-VALUE PROBLEMS
pp.:
470 – 478
CHAPTER 34. NUMERICAL PROBLEMS IN 3D FINITE ELEMENT ANALYSIS BASED ON DEGENERATED ELEMENTS
pp.:
478 – 488
CHAPTER 35. POSTBUCKLING AND IMPERFECTION SENSITIVITY OF ELASTIC STRUCTURES
pp.:
488 – 500
CHAPTER 36. AN ANNULAR FINIE ELEMENT IN POLAR COORDINATES FOR PLATE BENDING PROBLEMS
pp.:
500 – 510
CHAPTER 37. ON THE CONVERGENCE OF A FOUR-NODE PLATE BENDING ELEMENT BASED ON MINDLIN/REISSNER PLATE THEORY AND A MIXED INTERPOLATION
pp.:
510 – 524
CHAPTER 38. FORMULATION AND FINITE ELEMENT ANALYSIS OF A GENERAL CLASS OF ROLLING CONTACT PROBLEMS WITH FINITE ELASTIC DEFORMATIONS
pp.:
524 – 552
CHAPTER 39. INDIRECT OPTIMIZATION ALGORITHMS FOR NONLINEAR CONTACT PROBLEMS
pp.:
552 – 566
CHAPTER 40. NONCONVEX UNILATERAL CONTACT PROBLEMS AND APPROXIMATION
pp.:
566 – 574
CHAPTER 41. ON OPTIMAL SHAPE DESIGN OF AN ELASTIC BODY ON A RIGID FOUNDATION
pp.:
574 – 582
CHAPTER 42 .NODAL METHODS FOR THE TRANSPORT EQUATION
pp.:
582 – 590
CHAPTER 43. LEAST SQUARES FORMULATION OF EXTREMUM PRINCIPLES AND WEIGHTED RESIDUAL METHODS USED IN FINITE ELEMENT CODES FOR SOLVING THE BOLTZMANN EQUATION FOR NEUTRON TRANSPORT
pp.:
590 – 606
CHAPTER 44. A-POSTERIORI ERROR ESTIMATION, ADAPTIVE MESH REFINEMENT AND MULTIGRID METHODS USING HIERARCHICAL FINITE ELEMENT BASES
pp.:
606 – 614
CHAPTER 45. DYNAMIC IMPLEMENTATION OF THE h-VERSION OF THE FINITE ELEMENT METHOD
pp.:
614 – 622
CHAPTER 46. ABSTRACTS OF POSTER SESSIONS
pp.:
622 – 646