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Some estimates for resolvent operators under the discretization by finite element method
(2015-10-24)
This paper is devoted to obtain some norm estimates for the difference between the two resolvent operators under the discretization of the domain (Formula presented.), by finite element method.
Correction to: finite element approximation of the spectrum of the curl operator in a multiply connected domain
(Foundations of computational mathematics, 2020)
Alternate treatments of jacobian singularities in polar coordinates within finite-difference schemes
(World Academic UnionLiverpool, 2012)
Jacobian singularities of differential operators in curvilinear coordinates occur when the Jacobian
determinant of the curvilinear-to-Cartesian mapping vanishes, thus leading to unbounded coefficients in par-tial differential ...
Alternate treatments of jacobian singularities in polar coordinates within finite-difference schemes
(2012-12-27)
Jacobian singularities of differential operators in curvilinear coordinates occur when the Jacobian determinant of the curvilinear-to-Cartesian mapping vanishes, thus leading to unbounded coefficients in partial differential ...
Alternate treatments of jacobian singularities in polar coordinates within finite-difference schemes
(2012-12-27)
Jacobian singularities of differential operators in curvilinear coordinates occur when the Jacobian determinant of the curvilinear-to-Cartesian mapping vanishes, thus leading to unbounded coefficients in partial differential ...
The effect of finite rank perturbations on Jordan chains of linear operators
(Elsevier Science Inc, 2015-08-15)
A general result on the structure and dimension of the root subspaces of a linear operator under finite rank perturbations is proved: The increase of dimension from the n-th power of the kernel of the perturbed operator ...
Algebraic conditioning analysis of the incremental unknowns preconditioner
(Elsevier Science Inc., 2008)