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024 7 $a10.1007/b80164
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100   $a20121227d2003      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aStability Estimates for Hybrid Coupled Domain Decomposition Methods /$fby Olaf Steinbach
205   $a1st ed. 2003.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2003.
215   $a1 online resource (VI, 126 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1809
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-00277-4 
320   $aIncludes bibliographical references (pages [117]-120).
327   $aPreliminaries -- Sobolev Spaces: Saddle Point Problems; Finite Element Spaces; Projection Operators; Quasi Interpolation Operators -- Stability Results: Piecewise Linear Elements; Dual Finite Element Spaces; Higher Order Finite Element Spaces; Biorthogonal Basis Functions -- The Dirichlet-Neumann Map for Elliptic Problems: The Steklov-Poincare Operator; The Newton Potential; Approximation by Finite Element Methods; Approximation by Boundary Element Methods -- Mixed Discretization Schemes: Variational Methods with Approximate Steklov-Poincare Operators; Lagrange Multiplier Methods -- Hybrid Coupled Domain Decomposition Methods: Dirichlet Domain Decomposition Methods; A Two-Level Method; Three-Field Methods; Neumann Domain Decomposition Methods;Numerical Results; Concluding Remarks -- References.
330   $a Domain decomposition methods are a well established tool for an efficient numerical solution of partial differential equations, in particular for the coupling of different model equations and of different discretization methods. Based on the approximate solution of local boundary value problems either by finite or boundary element methods, the global problem is reduced to an operator equation on the skeleton of the domain decomposition. Different variational formulations then lead to hybrid domain decomposition methods. .
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1809
606   $aApplied mathematics
606   $aEngineering mathematics
606   $aNumerical analysis
606   $aDifferential equations, Partial
606   $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003
606   $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
615  0$aApplied mathematics.
615  0$aEngineering mathematics.
615  0$aNumerical analysis.
615  0$aDifferential equations, Partial.
615 14$aApplications of Mathematics.
615 24$aNumerical Analysis.
615 24$aPartial Differential Equations.
676   $a515.35
700   $aSteinbach$b Olaf$4aut$4http://id.loc.gov/vocabulary/relators/aut$0451445
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910144634203321
996   $aStability estimates for hybrid coupled domain decomposition methods$9145754
997   $aUNINA