[ { "key": "ZMIKI4IM", "version": 1, "library": { "type": "group", "id": 4998, "name": "DOUG application", "links": { "alternate": { "href": "https://www.zotero.org/groups/doug_application", "type": "text/html" } } }, "links": { "self": { "href": "https://api.zotero.org/groups/4998/items/ZMIKI4IM", "type": "application/json" }, "alternate": { "href": "https://www.zotero.org/groups/doug_application/items/ZMIKI4IM", "type": "text/html" } }, "meta": { "createdByUser": { "id": 48412, "username": "olegus", "name": "", "links": { "alternate": { "href": "https://www.zotero.org/olegus", "type": "text/html" } } }, "creatorSummary": "Van lent et al.", "parsedDate": "2009", "numChildren": 0 }, "data": { "key": "ZMIKI4IM", "version": 1, "itemType": "journalArticle", "title": "Energy-minimizing coarse spaces for two-level Schwarz methods for multiscale PDEs", "creators": [ { "creatorType": "author", "firstName": "Jan", "lastName": "Van lent" }, { "creatorType": "author", "firstName": "Robert", "lastName": "Scheichl" }, { "creatorType": "author", "firstName": "Ivan G", "lastName": "Graham" } ], "abstractNote": "", "publicationTitle": "Numerical Linear Algebra with Applications", "publisher": "", "place": "", "date": "2009", "volume": "16", "issue": "10", "section": "", "partNumber": "", "partTitle": "", "pages": "775–799", "series": "", "seriesTitle": "", "seriesText": "", "journalAbbreviation": "", "DOI": "10.1002/nla.641", "citationKey": "", "url": "http://dx.doi.org/10.1002/nla.641", "accessDate": "", "PMID": "", "PMCID": "", "ISSN": "1099-1506", "archive": "", "archiveLocation": "", "shortTitle": "", "language": "", "libraryCatalog": "", "callNumber": "", "rights": "", "extra": "", "tags": [ { "tag": "coarse space" }, { "tag": "constrained energy minimization" }, { "tag": "domain decomposition" }, { "tag": "overlapping additive Schwarz method" }, { "tag": "preconditioning" } ], "collections": [], "relations": {}, "dateAdded": "2011-04-28T13:05:48Z", "dateModified": "2011-04-28T13:05:48Z" } }, { "key": "7TMTHNMC", "version": 1, "library": { "type": "group", "id": 4998, "name": "DOUG application", "links": { "alternate": { "href": "https://www.zotero.org/groups/doug_application", "type": "text/html" } } }, "links": { "self": { "href": "https://api.zotero.org/groups/4998/items/7TMTHNMC", "type": "application/json" }, "alternate": { "href": "https://www.zotero.org/groups/doug_application/items/7TMTHNMC", "type": "text/html" } }, "meta": { "createdByUser": { "id": 48412, "username": "olegus", "name": "", "links": { "alternate": { "href": "https://www.zotero.org/olegus", "type": "text/html" } } }, "creatorSummary": "Saad", "parsedDate": "1996", "numChildren": 0 }, "data": { "key": "7TMTHNMC", "version": 1, "itemType": "book", "title": "Iterative methods for sparse linear systems", "creators": [ { "creatorType": "author", "firstName": "Yousef", "lastName": "Saad" } ], "abstractNote": "", "series": "", "seriesNumber": "", "volume": "", "numberOfVolumes": "", "edition": "1st", "date": "1996", "publisher": "PWS", "place": "", "originalDate": "", "originalPublisher": "", "originalPlace": "", "format": "", "numPages": "", "ISBN": "", "DOI": "", "citationKey": "", "url": "", "accessDate": "", "ISSN": "", "archive": "", "archiveLocation": "", "shortTitle": "", "language": "", "libraryCatalog": "", "callNumber": "", "rights": "", "extra": "", "tags": [ { "tag": "math" } ], "collections": [], "relations": {}, "dateAdded": "2010-11-04T12:00:02Z", "dateModified": "2010-11-04T12:00:02Z" } }, { "key": "6BGUNJUI", "version": 1, "library": { "type": "group", "id": 4998, "name": "DOUG application", "links": { "alternate": { "href": "https://www.zotero.org/groups/doug_application", "type": "text/html" } } }, "links": { "self": { "href": "https://api.zotero.org/groups/4998/items/6BGUNJUI", "type": "application/json" }, "alternate": { "href": "https://www.zotero.org/groups/doug_application/items/6BGUNJUI", "type": "text/html" } }, "meta": { "createdByUser": { "id": 48412, "username": "olegus", "name": "", "links": { "alternate": { "href": "https://www.zotero.org/olegus", "type": "text/html" } } }, "creatorSummary": "Scheichl and Vainikko", "parsedDate": "2006", "numChildren": 0 }, "data": { "key": "6BGUNJUI", "version": 1, "itemType": "manuscript", "title": "Additive Schwarz and Aggregation-Based Coarsening for Elliptic Problems with Highly Variable Coefficients", "creators": [ { "creatorType": "author", "firstName": "R.", "lastName": "Scheichl" }, { "creatorType": "author", "firstName": "E.", "lastName": "Vainikko" } ], "abstractNote": "", "manuscriptType": "", "institution": "", "place": "", "date": "2006", "numPages": "", "number": "", "DOI": "", "citationKey": "", "url": "http://www.maths.bath.ac.uk/%7Emasrs/sch_vai_preprint_9_06.pdf", "accessDate": "", "archive": "", "archiveLocation": "", "shortTitle": "", "language": "", "libraryCatalog": "", "callNumber": "", "rights": "", "extra": "Bath Institute For Complex Systems Preprint 9/06", "tags": [ { "tag": "DOUG" } ], "collections": [], "relations": {}, "dateAdded": "2010-11-04T11:59:23Z", "dateModified": "2010-11-04T11:59:23Z" } }, { "key": "H7IVZ2NZ", "version": 1, "library": { "type": "group", "id": 4998, "name": "DOUG application", "links": { "alternate": { "href": "https://www.zotero.org/groups/doug_application", "type": "text/html" } } }, "links": { "self": { "href": "https://api.zotero.org/groups/4998/items/H7IVZ2NZ", "type": "application/json" }, "alternate": { "href": "https://www.zotero.org/groups/doug_application/items/H7IVZ2NZ", "type": "text/html" } }, "meta": { "createdByUser": { "id": 48412, "username": "olegus", "name": "", "links": { "alternate": { "href": "https://www.zotero.org/olegus", "type": "text/html" } } }, "creatorSummary": "Scheichl and Vainikko", "parsedDate": "2006", "numChildren": 0 }, "data": { "key": "H7IVZ2NZ", "version": 1, "itemType": "conferencePaper", "title": "Robust Aggregation-Based Coarsening for Additive Schwarz in the Case of Highly Variable Coefficients", "creators": [ { "creatorType": "author", "firstName": "R.", "lastName": "Scheichl" }, { "creatorType": "author", "firstName": "E.", "lastName": "Vainikko" }, { "creatorType": "editor", "firstName": "P.", "lastName": "Wesseling" }, { "creatorType": "editor", "firstName": "E.", "lastName": "ONate" }, { "creatorType": "editor", "firstName": "J.", "lastName": "Periaux" } ], "abstractNote": "", "proceedingsTitle": "Proceddings of the European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2006", "conferenceName": "", "publisher": "", "place": "TU Delft", "date": "2006", "eventPlace": "", "volume": "", "issue": "", "numberOfVolumes": "", "pages": "", "series": "", "seriesNumber": "", "DOI": "", "ISBN": "", "citationKey": "", "url": "http://www.maths.bath.ac.uk/ masrs//eccomas_scheichl.pdf", "accessDate": "", "ISSN": "", "archive": "", "archiveLocation": "", "shortTitle": "", "language": "", "libraryCatalog": "", "callNumber": "", "rights": "", "extra": "", "tags": [ { "tag": "DOUG" } ], "collections": [], "relations": {}, "dateAdded": "2010-11-04T11:58:53Z", "dateModified": "2010-11-04T11:58:53Z" } }, { "key": "ACU4JPV7", "version": 1, "library": { "type": "group", "id": 4998, "name": "DOUG application", "links": { "alternate": { "href": "https://www.zotero.org/groups/doug_application", "type": "text/html" } } }, "links": { "self": { "href": "https://api.zotero.org/groups/4998/items/ACU4JPV7", "type": "application/json" }, "alternate": { "href": "https://www.zotero.org/groups/doug_application/items/ACU4JPV7", "type": "text/html" } }, "meta": { "createdByUser": { "id": 48412, "username": "olegus", "name": "", "links": { "alternate": { "href": "https://www.zotero.org/olegus", "type": "text/html" } } }, "creatorSummary": "Smith et al.", "parsedDate": "2004", "numChildren": 0 }, "data": { "key": "ACU4JPV7", "version": 1, "itemType": "book", "title": "Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations", "creators": [ { "creatorType": "author", "firstName": "B. F", "lastName": "Smith" }, { "creatorType": "author", "firstName": "P. E", "lastName": "Bjorstad" }, { "creatorType": "author", "firstName": "W. D", "lastName": "Gropp" } ], "abstractNote": "", "series": "", "seriesNumber": "", "volume": "", "numberOfVolumes": "", "edition": "", "date": "2004", "publisher": "Cambridge University Press", "place": "", "originalDate": "", "originalPublisher": "", "originalPlace": "", "format": "", "numPages": "", "ISBN": "", "DOI": "", "citationKey": "", "url": "", "accessDate": "", "ISSN": "", "archive": "", "archiveLocation": "", "shortTitle": "", "language": "", "libraryCatalog": "", "callNumber": "", "rights": "", "extra": "", "tags": [ { "tag": "math" }, { "tag": "via google books" } ], "collections": [], "relations": {}, "dateAdded": "2010-11-04T11:58:53Z", "dateModified": "2010-11-04T11:58:53Z" } }, { "key": "J84MDAEP", "version": 1, "library": { "type": "group", "id": 4998, "name": "DOUG application", "links": { "alternate": { "href": "https://www.zotero.org/groups/doug_application", "type": "text/html" } } }, "links": { "self": { "href": "https://api.zotero.org/groups/4998/items/J84MDAEP", "type": "application/json" }, "alternate": { "href": "https://www.zotero.org/groups/doug_application/items/J84MDAEP", "type": "text/html" } }, "meta": { "createdByUser": { "id": 48412, "username": "olegus", "name": "", "links": { "alternate": { "href": "https://www.zotero.org/olegus", "type": "text/html" } } }, "creatorSummary": "Chan and Mathew", "parsedDate": "1994", "numChildren": 0 }, "data": { "key": "J84MDAEP", "version": 1, "itemType": "journalArticle", "title": "Domain decomposition algorithms", "creators": [ { "creatorType": "author", "firstName": "Tony F", "lastName": "Chan" }, { "creatorType": "author", "firstName": "Tarek P", "lastName": "Mathew" } ], "abstractNote": "ABSTRACT Domain decomposition refers to divide and conquer techniques for solving partial differential equations by iteratively solving subproblems defined on smaller subdomains. The principal advantages include enhancement of parallelism and localized treatment of complex and irregular geometries, singularities and anomalous regions. Additionally, domain decomposition can sometimes reduce the computational complexity of the underlying solution method.In this article, we survey iterative domain decomposition techniques that have been developed in recent years for solving several kinds of partial differential equations, including elliptic, parabolic, and differential systems such as the Stokes problem and mixed formulations of elliptic problems. We focus on describing the salient features of the algorithms and describe them using easy to understand matrix notation. In the case of elliptic problems, we also provide an introduction to the convergence theory, which requires some knowledge of finite element spaces and elementary functional analysis.", "publicationTitle": "Acta Numerica", "publisher": "", "place": "", "date": "1994", "volume": "3", "issue": "-1", "section": "", "partNumber": "", "partTitle": "", "pages": "61-143", "series": "", "seriesTitle": "", "seriesText": "", "journalAbbreviation": "", "DOI": "10.1017/S0962492900002427", "citationKey": "", "url": "http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=1770700&fulltextType=RA&fileId=S0962492900002427", "accessDate": "", "PMID": "", "PMCID": "", "ISSN": "", "archive": "", "archiveLocation": "", "shortTitle": "", "language": "", "libraryCatalog": "", "callNumber": "", "rights": "", "extra": "", "tags": [], "collections": [], "relations": {}, "dateAdded": "2010-11-04T11:38:22Z", "dateModified": "2010-11-04T11:38:22Z" } } ]