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Home > Art, Film & Photography > Domain Decomposition Methods: Bddc, Additive Schwarz Method, Poincar -Steklov Operator, Balancing Domain Decomposition, Coarse Space, Feti-DP
Domain Decomposition Methods: Bddc, Additive Schwarz Method, Poincar -Steklov Operator, Balancing Domain Decomposition, Coarse Space, Feti-DP

Domain Decomposition Methods: Bddc, Additive Schwarz Method, Poincar -Steklov Operator, Balancing Domain Decomposition, Coarse Space, Feti-DP


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About the Book

Chapters: Bddc, Additive Schwarz Method, Poincar -steklov Operator, Balancing Domain Decomposition, Coarse Space, Feti-Dp, Mortar Methods, Schur Complement Method, Schwarz Alternating Method, Neumann-dirichlet Method, Neumann-neumann Methods, Abstract Additive Schwarz Method. Source: Wikipedia. Pages: 44. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: In numerical analysis, BDDC (balancing domain decomposition by constraints) is a domain decomposition method for solving large symmetric, positive definite systems of linear equations that arize from the finite element method. BDDC is used as a preconditioner to the conjugate gradient method. A specific version of BDDC is characterized by the choice of coarse degrees of freedom, which can be values at the corners of the subdomains, or averages over the edges or the faces of the interface between the subdomains. One application of the BDDC preconditioner then combines the solution of local problems on each subdomains with the solution of a global coarse problem with the coarse degrees of freedom as the unknowns. The local problems on different subdomains are completely independent of each other, so the method is suitable for parallel computing. With a proper choice of the coarse degrees of freedom (corners in 2D, corners plus edges or corners plus faces in 3D) and with regular subdomain shapes, the condition number of the method is bounded when increasing the number of subdomains, and it grows only very slowly with the number of elements per subdomain. Thus the number of iterations is bounded in the same way, and the method scales well with the problem size and the number of subdomains. BDDC was introduced by Dohrmann as a simpler primal alternative to the FETI-DP domain decomposition method by Farhat et al. . The name of the method was coi...More: http: //booksllc.net/?id=1622957


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Product Details
  • ISBN-13: 9781156947920
  • Publisher: Books LLC
  • Publisher Imprint: Books LLC
  • Height: 152 mm
  • Sub Title: Bddc, Additive Schwarz Method, Poincar -Steklov Operator, Balancing Domain Decomposition, Coarse Space, Feti-DP
  • Width: 229 mm
  • ISBN-10: 1156947928
  • Publisher Date: 15 Sep 2010
  • Binding: Paperback
  • Spine Width: 3 mm
  • Weight: 82 gr


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