The Finite Element Method. Fundamentals and Applications

Content: 
Front Matter, Page iii
Dedication, Page iv
Copyright, Page iv
PREFACE, Pages xi-xii
ACKNOWLEDGMENTS, Page xiii
CHAPTER 1 - THE FORMULATION OF PHYSICAL PROBLEMS, Pages 1-6
CHAPTER 2 - FIELD PROBLEMS AND THEIR APPROXIMATE SOLUTIONS, Pages 7-47
CHAPTER 3 - THE VARIATIONAL CALCULUS AND ITS APPLICATION, Pages 48-60
CHAPTER 4 - THE VARIATIONAL METHOD BASED ON THE HILBERT SPACE, Pages 61-71
CHAPTER 5 - FUNDAMENTALS OF THE FINITE ELEMENT APPROACH, Pages 72-128
CHAPTER 6 - THE RITZ FINITE ELEMENT METHOD (CLASSICAL), Pages 129-153
CHAPTER 7 - THE RITZ FINITE ELEMENT METHOD (HILBERT SPACE), Pages 154-162
CHAPTER 8 - FINITE ELEMENT APPLICATIONS IN SOLID AND STRUCTURAL MECHANICS, Pages 163-184
CHAPTER 9 - THE LAPLACE OR POTENTIAL FIELD, Pages 185-207
CHAPTER 10 - LAPLACE AND ASSOCIATED BOUNDARY-VALUE PROBLEMS, Pages 208-226
CHAPTER 11 - THE HELMHOLTZ AND WAVE EQUATIONS, Pages 227-232
CHAPTER 12 - THE DIFFUSION EQUATION, Pages 233-239
CHAPTER 13 - FINITE ELEMENT APPLICATIONS TO VISCOUS FLOW, Pages 240-245
CHAPTER 14 - FINITE ELEMENT APPLICATIONS TO COMPRESSIBLE FLOW, Pages 246-251
CHAPTER 15 - FINITE ELEMENT APPLICATIONS TO MORE GENERAL FLUID FLOWS, Pages 252-257
CHAPTER 16 - OTHER FINITE ELEMENT APPLICATIONS, Pages 258-262
APPENDIX A - MATRIX ALGEBRA, Pages 263-273
APPENDIX B - THE DIFFERENTIAL AND INTEGRAL CALCULUS OF MATRICES, Pages 274-280
APPENDIX C - THE TRANSFORMATION MATRIX, Pages 281-296
ADDITIONAL REFERENCES, Pages 297-308
AUTHOR INDEX, Pages 309-315
SUBJECT INDEX, Pages 316-322