Adjoint consistency analysis of residual-based variational multiscale methods
We investigate the conditions under which residual-based variational multiscale methods are adjoint, or dual, consistent for model hyperbolic and elliptic partial differential equations. In particular, while many residual-based variational multiscale stabilizations are adjoint consistent for hyperbo...
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| Veröffentlicht in: | Journal of computational physics 2013-12, Vol.255, p.396-406 |
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| container_title | Journal of computational physics |
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| creator | Hicken, J.E. Li, J. Sahni, O. Oberai, A.A. |
| description | We investigate the conditions under which residual-based variational multiscale methods are adjoint, or dual, consistent for model hyperbolic and elliptic partial differential equations. In particular, while many residual-based variational multiscale stabilizations are adjoint consistent for hyperbolic problems and finite-element spaces, only a few are adjoint consistent for elliptic problems. |
| doi_str_mv | 10.1016/j.jcp.2013.07.039 |
| format | Article |
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In particular, while many residual-based variational multiscale stabilizations are adjoint consistent for hyperbolic problems and finite-element spaces, only a few are adjoint consistent for elliptic problems.</description><subject>Adjoint consistency</subject><subject>Adjoints</subject><subject>Consistency</subject><subject>Differentiate-then-discretize</subject><subject>Discretize-then-differentiate</subject><subject>Dual consistency</subject><subject>Finite element method</subject><subject>Functional superconvergence</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Multiscale methods</subject><subject>Partial differential equations</subject><subject>Stabilization</subject><subject>Variational multiscale method</subject><issn>0021-9991</issn><issn>1090-2716</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNp9kM1OwzAQhC0EEqXwANxy5JKwGzeOLU5VxZ9UxAXOlutshKMkLnaC1LfHVTlzWu1qZjXzMXaLUCCguO-Kzu6LEpAXUBfA1RlbICjIyxrFOVsAlJgrpfCSXcXYAYCsVnLB3tZN5904ZdaP0cWJRnvIzGj6Q9oy32aBomtm0-c7E6nJfkxwZnI-KbJh7icXrekpG2j68k28Zhet6SPd_M0l-3x6_Ni85Nv359fNeptbzmFKmVbAUaCSVpUVcbOqla05SYkCdlIQrxshVLszZoe8aqElqyrZChSqlOm0ZHenv_vgv2eKkx5SEOp7M5Kfo8YK-UoIiSpJ8SS1wccYqNX74AYTDhpBH9HpTid0-ohOQ60TuuR5OHkodfhxFHS0LpGhxgWyk268-8f9C4xjdvU</recordid><startdate>20131215</startdate><enddate>20131215</enddate><creator>Hicken, J.E.</creator><creator>Li, J.</creator><creator>Sahni, O.</creator><creator>Oberai, A.A.</creator><general>Elsevier Inc</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7U5</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20131215</creationdate><title>Adjoint consistency analysis of residual-based variational multiscale methods</title><author>Hicken, J.E. ; Li, J. ; Sahni, O. ; Oberai, A.A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c330t-2740316198c925e3a479c73e88160b86e37d669fbaab135f0fec958f616928b13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Adjoint consistency</topic><topic>Adjoints</topic><topic>Consistency</topic><topic>Differentiate-then-discretize</topic><topic>Discretize-then-differentiate</topic><topic>Dual consistency</topic><topic>Finite element method</topic><topic>Functional superconvergence</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Multiscale methods</topic><topic>Partial differential equations</topic><topic>Stabilization</topic><topic>Variational multiscale method</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hicken, J.E.</creatorcontrib><creatorcontrib>Li, J.</creatorcontrib><creatorcontrib>Sahni, O.</creatorcontrib><creatorcontrib>Oberai, A.A.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Journal of computational physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hicken, J.E.</au><au>Li, J.</au><au>Sahni, O.</au><au>Oberai, A.A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Adjoint consistency analysis of residual-based variational multiscale methods</atitle><jtitle>Journal of computational physics</jtitle><date>2013-12-15</date><risdate>2013</risdate><volume>255</volume><spage>396</spage><epage>406</epage><pages>396-406</pages><issn>0021-9991</issn><eissn>1090-2716</eissn><abstract>We investigate the conditions under which residual-based variational multiscale methods are adjoint, or dual, consistent for model hyperbolic and elliptic partial differential equations. 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| ispartof | Journal of computational physics, 2013-12, Vol.255, p.396-406 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Adjoint consistency Adjoints Consistency Differentiate-then-discretize Discretize-then-differentiate Dual consistency Finite element method Functional superconvergence Mathematical analysis Mathematical models Multiscale methods Partial differential equations Stabilization Variational multiscale method |
| title | Adjoint consistency analysis of residual-based variational multiscale methods |
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