Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Card Display
Catalogue Card Display
RAK
Title: Mathematical Theory of Finite and Boundary Element Methods ([EBook]) / by Albert H. Schatz, Vidar Thomée, Wolfgang L. Wendland. Dewey Class: 500 Author: Schatz, Albert H. Added Personal Name: Thomée, Vidar., 1933- author. Wendland, Wolfgang L. author. Publication: Basel : Birkhäuser, 1990. Other name(s): SpringerLink (Online service) Physical Details: VIII, 268 pages : online resource. Series: DMV Seminar ;; 15 ISBN: 9783034876308 System details note: Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) Summary Note: These are the lecture notes of the seminar "Mathematische Theorie der finiten Element und Randelementmethoden" organized by the "Deutsche Mathematiker-Vereinigung" and held in Dusseldorf from 07. - 14. of June 1987. Finite element methods and the closely related boundary element methods nowadays belong to the standard routines for the computation of solutions to boundary and initial boundary value problems of partial differential equations with many applications as e.g. in elasticity and thermoelasticity, fluid mechanics, acoustics, electromagnetics, scatter ing and diffusion. These methods also stimulated the development of corresponding mathematical numerical analysis. I was very happy that A. Schatz and V. Thomee generously joined the adventure of the seminar and not only gave stimulating lectures but also spent so much time for personal discussion with all the participants. The seminar as well as these notes consist of three parts: 1. An Analysis of the Finite Element Method for Second Order Elliptic Boundary Value Problems by A. H. Schatz. II. On Finite Elements for Parabolic Problems by V. Thomee. III. I30undary Element Methods for Elliptic Problems by \V. L. Wendland. The prerequisites for reading this book are basic knowledge in partial differential equations (including pseudo-differential operators) and in numerical analysis. It was not our intention to present a comprehensive account of the research in this field, but rather to give an introduction and overview to the three different topics which shed some light on recent research.: Contents note: 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. ------------------------------ *** There are no holdings for this record *** -----------------------------------------------
Quick Search
Search for