1.

Record Nr.

UNISA996466669303316

Autore

Wahlbin Lars B. <1945-2013, >

Titolo

Superconvergence in Galerkin finite element methods / / Lars B. Wahlbin

Pubbl/distr/stampa

Berlin : , : Springer, , [1995]

©1995

ISBN

3-540-49401-4

Edizione

[1st ed. 1995.]

Descrizione fisica

1 online resource (XII, 172 p.)

Collana

Lecture notes in mathematics (Springer-Verlag) ; ; 1605

Disciplina

515.24

Soggetti

Convergence

Differential equations, Elliptic - Numerical solutions

Galerkin methods

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

Some one-dimensional superconvergence results -- Remarks about some of the tools used in Chapter 1 -- Local and global properties of L 2-projections -- to several space dimensions: some results about superconvergence in L 2-projections -- Second order elliptic boundary value problems in any number of space dimensions: preliminary considerations on local and global estimates and presentation of the main technical tools for showing superconvergence -- Superconvergence in tensor-product elements -- Superconvergence by local symmetry -- Superconvergence for difference quotients on translation invariant meshes -- On superconvergence in nonlinear problems -- 10. Superconvergence in isoparametric mappings of translation invariant meshes: an example -- Superconvergence by averaging: mainly, the K-operator -- A computational investigation of superconvergence for first derivatives in the plane.

Sommario/riassunto

This book is essentially a set of lecture notes from a graduate seminar given at Cornell in Spring 1994. It treats basic mathematical theory for superconvergence in the context of second order elliptic problems. It is aimed at graduate students and researchers. The necessary technical tools are developed in the text although sometimes long proofs are merely referenced. The book gives a rather complete overview of the



field of superconvergence (in time-independent problems). It is the first text with such a scope. It includes a very complete and up-to-date list of references.

2.

Record Nr.

UNICAMPANIAVAN00268751

Autore

Marsden, Jerrold E.

Titolo

2. / Jerrold Marsden, Alan Weinstein

Pubbl/distr/stampa

New York, : Springer, 1985

Edizione

[2. ed]

Descrizione fisica

P. 337-644, [42] : ill. ; 27 cm

Altri autori (Persone)

Weinstein, Alan

Soggetti

26-XX - Real functions [MSC 2020]

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia