Finite Elements: An Introduction to the Method and Error Estimation

1. Introduction 2. Formulations of the Problems 3. Finite Element Methods 4. Interpolation and its Error 5. a priori Estimates of the Error of the Finite Element Solution in the Energy Norm 6. Functionals and Superconvergence 7. a posteriori Error Estimates 8. A Note on Verification 9. Epilogue