Publication detail

Sobolev Spaces and Their Applications in the Finite Element Method

ŽENÍŠEK, A.

Czech title

Sobolevovy prostory a jejich aplikace v metodě konečných prvků

English title

Sobolev Spaces and Their Applications in the Finite Element Method

Type

book

Language

en

Original abstract

The book consists of five parts. Part I (the first half of the book) contains all necessary theorems from the theory of Sobolev spaces which are needed in the theory of the finite element method. The proofs of these theorems are written in a minute, circumstantial and readable way. Parts III and V concerning variational problems in domains with cusp-points and semiregular finite elements, respectively, are published in a book form for the first time. Parts II and IV devoted to basic applications of Sobolev spaces in the finite element method and parabolic-elliptic variational problems, respectively, complete the monograph into a comprehensive work.

Czech abstract

Kniha se skládá z pěti částí. Část I (první polovina knihy) obsahuje všechna nezbytná tvrzení z teorie Sobolevových prostorů, jež jsou nezbytné v metodě konečných prvků. Důkazy jsou psány v stručné, přehledné a čitelné formě. Části III a V se týkají variačních problémů v oblastech s body vratu a semiregulárním konečným prvkům a jsou psány vůbec poprvé v knižní formě. Části II a IV jsou věnované základním aplikacím Sobolevovým prostorům v metodě konečných prvků a parabolicko-eliptickým variačním problémům resp, dávají knize ucelený tvar.

English abstract

The book consists of five parts. Part I (the first half of the book) contains all necessary theorems from the theory of Sobolev spaces which are needed in the theory of the finite element method. The proofs of these theorems are written in a minute, circumstantial and readable way. Parts III and V concerning variational problems in domains with cusp-points and semiregular finite elements, respectively, are published in a book form for the first time. Parts II and IV devoted to basic applications of Sobolev spaces in the finite element method and parabolic-elliptic variational problems, respectively, complete the monograph into a comprehensive work.

Keywords in Czech

Sobolevovy prostory, metoda konečných prvků

Keywords in English

Sobolev spaces, finite element method

RIV year

2005

Released

01.01.2005

Publisher

VUTIUM Press

Location

Brno

ISBN

80-2142630-6

Book

Sobolev Spaces and Their Applications in the Finite Element Method

Edition number

1

Pages count

523

BIBTEX


@book{BUT61614,
  author="Alexander {Ženíšek},
  title="Sobolev Spaces and Their Applications in the Finite Element Method",
  booktitle="Sobolev Spaces and Their Applications in the Finite Element Method",
  year="2005",
  month="January",
  publisher="VUTIUM Press",
  address="Brno",
  isbn="80-2142630-6"
}