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Multigrid Methods for Finite Elements (Hardcover, 1995 ed.)
Loot Price: R5,978
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Multigrid Methods for Finite Elements (Hardcover, 1995 ed.)
Series: Mathematics and Its Applications, 318
Expected to ship within 10 - 15 working days
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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.
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