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Multigrid Methods for Finite Elements

V.V. Shaidurov
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      Multigrid Methods for Finite Elements combines two rapidly developing fields: finite element methods, and multigrid algorithms. At the theoretical level, Shaidurov justifies the rate of convergence of various multigrid algorithms for self-adjoint and non-self-adjoint problems, positive definite and indefinite problems, and singular and spectral problems. At the practical level these statements are carried over to detailed, concrete problems, including economical constructions of triangulations and effective work with curvilinear boundaries, quasilinear equations and systems. Great attention is given to mixed formulations of finite element methods, which allow the simplification of the approximation of the biharmonic equation, the steady-state Stokes, and Navier--Stokes problems.
      Format: CONTRIBUTORS: V.V. Shaidurov EAN: 9780792332909 COUNTRY: Netherlands PAGES: WEIGHT: 1490 g HEIGHT: 234 cm
      PUBLISHED BY: Springer DATE PUBLISHED: 1995-01-31 CITY: GENRE: COMPUTERS / Programming / Algorithms, MATHEMATICS / Applied, MATHEMATICS / Counting & Numeration, MATHEMATICS / Differential Equations / General, TECHNOLOGY & ENGINEERING / Engineering (General) WIDTH: 156 cm SPINE:

      Book Themes:

      Differential calculus and equations, Numerical analysis, Applied mathematics, Maths for engineers, Algorithms and data structures

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      Multigrid Methods for Finite Elements combines two rapidly developing fields: finite element methods, and multigrid algorithms. At the theoretical level, Shaidurov justifies the rate of convergence of various multigrid algorithms for self-adjoint and non-self-adjoint problems, positive definite and indefinite problems, and singular and spectral problems. At the practical level these statements are carried over to detailed, concrete problems, including economical constructions of triangulations and effective work with curvilinear boundaries, quasilinear equations and systems. Great attention is given to mixed formulations of finite element methods, which allow the simplification of the approximation of the biharmonic equation, the steady-state Stokes, and Navier--Stokes problems.
      Format: CONTRIBUTORS: V.V. Shaidurov EAN: 9780792332909 COUNTRY: Netherlands PAGES: WEIGHT: 1490 g HEIGHT: 234 cm
      PUBLISHED BY: Springer DATE PUBLISHED: 1995-01-31 CITY: GENRE: COMPUTERS / Programming / Algorithms, MATHEMATICS / Applied, MATHEMATICS / Counting & Numeration, MATHEMATICS / Differential Equations / General, TECHNOLOGY & ENGINEERING / Engineering (General) WIDTH: 156 cm SPINE:

      Book Themes:

      Differential calculus and equations, Numerical analysis, Applied mathematics, Maths for engineers, Algorithms and data structures

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      Be the first to write a review
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