Chapter 1 Introduction--The Evolutive Finite Element Method.
1.1 Brief Review of the Features of Finite Element Method
1.2 Finite Element Method and Variational Principles
1.3 Research Areas of FEM
1.4 Advances in FEM and Outline of This Book
References
PART Ⅰ Advances in Variational Principles
Chapter 2 The Sub-Region Variational Principles
2.1 Introduction
2.2 The Sub-Region Variational Principle for Elasticity
2.3 The Sub-Region Variational Principle for Elastic Thin Plate
2.4 The Sub-Region Variational Principle for Elastic Thick Plate
2.5 The Sub-Region Variational Principle for Elastic Shallow Shell
2.6 The Sub-Region Mixed Energy Partial Derivative Theorem
References
Chapter 3 Variational Principles with Several Adjustable Parameters
3.1 Introduction
3.2 Several Patterns of Functional Transformation
3.3 Generalized Variational Principle Involving Several Adjustable Parameters
3.4 Variable-Substitution-Multiplier Method
References
PART Ⅱ Advances in Finite Element Method-Generalized Conforming Elements
Chapter 4 Generalized Conforming Element Theory
4.1 Introduction
4.2 Conforming and Nonconforming Elements--Some Consideration about "Conforming"
4.3 The First Pattern of Generalized Conforming Element-Replacing Nodal Conforming by Line Conforming Conditions
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PART Ⅲ Other Advances in Finite Element Method