Articoli correlati a Conjugate Gradient Algorithms and Finite Element Methods

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9783642185618: Conjugate Gradient Algorithms and Finite Element Methods

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Sinossi

The founders of the conjugate gradient method.- Conjugate gradients and finite elements - a golden jubilee.- Geometric interpretations of conjugate gradient and related methods.- The convergence of Krylov methods and Ritz values.- An application of the Shermann-Morrison formula to the GMRES method.- A parallel CG solver based on domain decomposition and non-smooth aggregation.- Deflation in preconditioned conjugate gradient methods for finite element problems.- Nonsmooth equation method for nonlinear nonconvex optimization.- Nonstandard nonobtuse refinements of planar triangulations.- Acute versus nonobtuse tetrahedralizations.- A posteriori eror estimation of "quantities of interest" on "quantity-adapted meshes".- Inversion of block-tridiagonal matrices and nonnegativity preservation in the numerical solution of linear parabolic PDEs.- On the nonnegativity conservation in semidiscrete parabolic problems.- Iterative solution methods of the Maxwell equations using staggered grid spatial discretization.- Iterative solution of linear variational problems in Hilbert spaces: Some conjugate gradients success stories.- On the application of preconditioning operators for nonlinear elliptic problems.- On a conjugate gradient/Newton/penalty method for the solution of obstacle problems. Application to the solution of an eikonal system with Dirichlet boundary conditions.- The use of bilinear rectangular elements in reconstruction of panoramic images.- Finite element discretization and iterative solution techniques for multiphase flows in gas-liquid reactors.- Implicit flux-corrected transport algorithm for finite element simulation of the compressible Euler equations.- Application of the PCG method in solution of a nuclear reactor criticality problem.

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  • EditoreSpringer
  • Data di pubblicazione2011
  • ISBN 10 3642185614
  • ISBN 13 9783642185618
  • RilegaturaPaperback
  • LinguaInglese
  • Contatto del produttorenon disponibile

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Altre edizioni note dello stesso titolo

9783540213192: Conjugate Gradient Algorithms and Finite Element Methods

Edizione in evidenza

ISBN 10:  3540213198 ISBN 13:  9783540213192
Casa editrice: Springer Verlag, 2004
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