skip to content
The mimetic finite difference method for elliptic problems Preview this item
ClosePreview this item
Checking...

The mimetic finite difference method for elliptic problems

Author: Lourenço Beirão da Veiga; Konstantin Lipnikov; Gianmarco Manzini
Publisher: Cham : Springer, 2014.
Series: MSetA, 11.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
This book describes the theoretical and computational aspects of the mimetic finite difference method for a wide class of multidimensional elliptic problems, which includes diffusion, advection-diffusion, Stokes, elasticity, magnetostatics and plate bending problems. The modern mimetic discretization technology developed in part by the Authors allows one to solve these equations on unstructured polygonal, polyhedral  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Beirão da Veiga, Lourenço.
Mimetic finite difference method for elliptic problems
(OCoLC)876296761
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Lourenço Beirão da Veiga; Konstantin Lipnikov; Gianmarco Manzini
ISBN: 9783319026633 3319026631
OCLC Number: 880579505
Description: 1 online resource (xvi, 392 pages) : illustrations.
Contents: 1 Model elliptic problems --
2 Foundations of mimetic finite difference method --
3 Mimetic inner products and reconstruction operators --
4 Mimetic discretization of bilinear forms --
5 The diffusion problem in mixed form --
6 The diffusion problem in primal form --
7 Maxwells equations. 8. The Stokes problem. 9 Elasticity and plates --
10 Other linear and nonlinear mimetic schemes --
11 Analysis of parameters and maximum principles --
12 Diffusion problem on generalized polyhedral meshes.
Series Title: MSetA, 11.
Responsibility: Lourenço Beirão da Veiga ; Konstantin Lipnikov ; Gianmarco Manzini.

Abstract:

The Mimetic Finite Difference Method for Elliptic Problems  Read more...

Reviews

Editorial reviews

Publisher Synopsis

From the book reviews: "This book of about 400 pages is clear and relatively easy to read. It shows the capabilities and the efficiency of the mimetic finite difference method in the resolution of Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/880579505> # The mimetic finite difference method for elliptic problems
    a schema:MediaObject, schema:Book, schema:CreativeWork ;
    library:oclcnum "880579505" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/1860341201#Topic/mathematics_calculus> ; # MATHEMATICS--Calculus
    schema:about <http://experiment.worldcat.org/entity/work/data/1860341201#Topic/differential_equations_partial> ; # Differential equations, Partial
    schema:about <http://dewey.info/class/515.353/e23/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/1860341201#Topic/mathematics_mathematical_analysis> ; # MATHEMATICS--Mathematical Analysis
    schema:bookFormat schema:EBook ;
    schema:contributor <http://experiment.worldcat.org/entity/work/data/1860341201#Person/manzini_gianmarco> ; # Gianmarco Manzini
    schema:contributor <http://experiment.worldcat.org/entity/work/data/1860341201#Person/lipnikov_konstantin> ; # Konstantin Lipnikov
    schema:creator <http://experiment.worldcat.org/entity/work/data/1860341201#Person/beirao_da_veiga_lourenco> ; # Lourenço Beirão da Veiga
    schema:datePublished "2014" ;
    schema:description "1 Model elliptic problems -- 2 Foundations of mimetic finite difference method -- 3 Mimetic inner products and reconstruction operators -- 4 Mimetic discretization of bilinear forms -- 5 The diffusion problem in mixed form -- 6 The diffusion problem in primal form -- 7 Maxwells equations. 8. The Stokes problem. 9 Elasticity and plates -- 10 Other linear and nonlinear mimetic schemes -- 11 Analysis of parameters and maximum principles -- 12 Diffusion problem on generalized polyhedral meshes."@en ;
    schema:description "This book describes the theoretical and computational aspects of the mimetic finite difference method for a wide class of multidimensional elliptic problems, which includes diffusion, advection-diffusion, Stokes, elasticity, magnetostatics and plate bending problems. The modern mimetic discretization technology developed in part by the Authors allows one to solve these equations on unstructured polygonal, polyhedral and generalized polyhedral meshes. The book provides a practical guide for those scientists and engineers that are interested in the computational properties of the mimetic finite difference method such as the accuracy, stability, robustness, and efficiency. Many examples are provided to help the reader to understand and implement this method. This monograph also provides the essential background material and describes basic mathematical tools required to develop further the mimetic discretization technology and to extend it to various applications."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/1860341201> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/1860341201#Series/mseta> ; # MSetA ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/876296761> ;
    schema:name "The mimetic finite difference method for elliptic problems"@en ;
    schema:productID "880579505" ;
    schema:url <http://dx.doi.org/10.1007/978-3-319-02663-3> ;
    schema:url <http://deposit.d-nb.de/cgi-bin/dokserv?id=4437979&prov=M&dok_var=1&dok_ext=htm> ;
    schema:url <http://www.myilibrary.com?id=635089> ;
    schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=783190> ;
    schema:workExample <http://worldcat.org/isbn/9783319026633> ;
    schema:workExample <http://dx.doi.org/10.1007/978-3-319-02663-3> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/880579505> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/1860341201#Person/beirao_da_veiga_lourenco> # Lourenço Beirão da Veiga
    a schema:Person ;
    schema:familyName "Beirão da Veiga" ;
    schema:givenName "Lourenço" ;
    schema:name "Lourenço Beirão da Veiga" ;
    .

<http://experiment.worldcat.org/entity/work/data/1860341201#Person/lipnikov_konstantin> # Konstantin Lipnikov
    a schema:Person ;
    schema:familyName "Lipnikov" ;
    schema:givenName "Konstantin" ;
    schema:name "Konstantin Lipnikov" ;
    schema:sameAs <http://d-nb.info/gnd/118069462> ;
    .

<http://experiment.worldcat.org/entity/work/data/1860341201#Person/manzini_gianmarco> # Gianmarco Manzini
    a schema:Person ;
    schema:familyName "Manzini" ;
    schema:givenName "Gianmarco" ;
    schema:name "Gianmarco Manzini" ;
    .

<http://experiment.worldcat.org/entity/work/data/1860341201#Series/mseta> # MSetA ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/880579505> ; # The mimetic finite difference method for elliptic problems
    schema:name "MSetA ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/1860341201#Topic/differential_equations_partial> # Differential equations, Partial
    a schema:Intangible ;
    schema:name "Differential equations, Partial"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/1860341201#Topic/mathematics_calculus> # MATHEMATICS--Calculus
    a schema:Intangible ;
    schema:name "MATHEMATICS--Calculus"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/1860341201#Topic/mathematics_mathematical_analysis> # MATHEMATICS--Mathematical Analysis
    a schema:Intangible ;
    schema:name "MATHEMATICS--Mathematical Analysis"@en ;
    .

<http://worldcat.org/isbn/9783319026633>
    a schema:ProductModel ;
    schema:isbn "3319026631" ;
    schema:isbn "9783319026633" ;
    .

<http://www.worldcat.org/oclc/876296761>
    a schema:CreativeWork ;
    rdfs:label "Mimetic finite difference method for elliptic problems" ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/880579505> ; # The mimetic finite difference method for elliptic problems
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.