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This paper is devoted to the convergence rate estimate for the method of successive subspace corrections applied to symmetric and positive semidefinite (singular) problems. In a general Hilbert space setting, a convergence rate identity is obtained for the method of subspace corrections in terms of the subspace solvers. As an illustration, the new abstract(More)
We provide a proof of both the stability and the approximation property for the finite element approximations of the axisymmetric Stokes problem by continuous piecewise polynomials of degree κ + 1 for the velocity and continuous piecewise polynomials of degree κ for the pressure with any κ ≥ 1. New techniques are designed so that in this perspective, by a(More)
Naphthalene dioxygenase (NDO) from Pseudomonas sp. strain NCIB 9816-4 incorporated dioxygen at the C7 and C8 positions on the A-rings of flavone and isoflavone with different stereoselectivity, resulting in the formation of (7S,8S)-dihydroxy-2-phenyl-7,8-dihydro-4H-chromen-4-one (flavone-cis-(7S,8S)-dihydrodiol) and(More)
Improved eating quality is a major breeding target in japonica rice due to market demand. Consequently, quantitative trait loci (QTL) for glossiness of cooked rice and amylose content associated with eating quality have received much research focus because of their importance in rice quality. In this study, QTL associated with 12 grain quality traits were(More)
For the continuum and discrete elastic equations, we derive exact artificial boundary conditions (ABCs), often referred to as transparent boundary conditions, that can be applied at a planar interface below which there are no forces. Solution of the elasticity equations can then be performed using this interface as an artificial boundary, often with greatly(More)
We apply an efficient and fast algorithm to simulate the atomistic strain model for epitaxial systems, recently introduced by Schindler et al. [Phys. Rev. B 67, 075316 (2003)]. The discrete effects in this lattice statics model are crucial for proper simulation of the influence of strain for thin film epitaxial growth, but the size of the atomistic systems(More)
The convergence analysis on the general iterative methods for the symmetric and positive semidefinite problems is presented in this paper. First, formulated are refined necessary and sufficient conditions for the energy norm convergence for iterative methods. Some illustrative examples for the conditions are also provided. The sharp convergence rate(More)