Author | Schatz, Albert H. author |
---|---|
Title | Mathematical Theory of Finite and Boundary Element Methods [electronic resource] / by Albert H. Schatz, Vidar Thomรฉe, Wolfgang L. Wendland |
Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 1990 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-7630-8 |
Descript | VIII, 268 p. online resource |
I: An Analysis of the Finite Element Method for Second Order Elliptic Boundary Value Problems -- O. Introduction -- 1. Some function spaces, notation and preliminaries -- 2. Some finite element spaces and their properties -- 3. Orthogonal projections onto finite element spaces in L2, in H1 and H01 -- 4. Galerkin finite element method for second order elliptic boundary value problems. Basic Hl and L2 estimates -- 5. Indefinite second order elliptic problems -- 6. Local error estimates -- 7. An introduction to grid refinement. An application to boundary value problems with non-convex corners -- 8. Maximum norm estimates for the L2 projection. A method using weighted norms -- 9. Maximum norm estimates for the Galerkin finite element method for second order elliptic problems -- References -- II: The Finite Element Method for Parabolic Problems -- 1. Introduction -- 2. Non-smooth data error estimates for the semidiscrete problem -- 3. Completely discrete schemes -- 4. A nonlinear problem -- References -- III: Boundary Element Methods for Elliptic Problems -- 1 Boundary Integral Equations -- 2 The Characterization of Boundary Integral Operators and Galerkin Boundary Element Methods -- 3 Collocation Methods -- 4 Concluding Remarks