Adaptive Finite Element Methods for Differential Equations Wolfgang: 3764370092Adaptive_Finite_Element_Methods_for_Differential_Equations_-_Wolfgang_.djvu

1 Introduction 1
1.1 A first example: computation of drag coefficient 2
1.2 The need for 'goal-oriented' mesh adaptation 4
1.3 Further examples of goal-oriented simulation 9
1.4 General concepts of error estimation 11
2 An ODE Model Case 15
2.1 Finite differences and finite elements 15
2.2 Efficiency comparison: FD versus FE method 19
2.3 Exercises 23
3 A PDE Model Case 25
3.1 Finite element approximation 26
3.2 Global a posteriori error estimates 29
3.3 A posteriori error estimates for output functionate 30
3.4 Higher-order finite elements 37
3.5 Exercises 39
4 Practical Aspects 41
4.1 Evaluation of the error identity and indicators 42
4.2 Mesh adaptation 46
4.3 Use of error estimators for post-processing 52
4.4 Towards anisotropic mesh adaptation 55
4.5 Exercises 60
5 The Limits of Theoretical Analysis 61
5.1 Convergence of residuals 64
5.2 Approximation of weights 65
5.3 Exercises 69

楼主好多丰富的资料，谢谢