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References in periodicals archive ?
Two types of the mass matrix are of interest: lumped mass matrix and consistent mass matrix.
The Lumped Mass Matrix. To use the diagonal elements of the consistent mass matrix and form a diagonal matrix by scaling these entries so that the total mass of the element is conserved, the method listed by Hinton et al.
The proposed 8-node quadrilateral hybrid stress elements with lumped mass matrix (30) and refined consistent mass matrix (37) in vibration analysis are denoted by QH8-LV and QH8-RCV, respectively.
Snapshots of the error distribution using the lumped mass matrix [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] are presented in Figure A.3 for the same experimental setting.
The lumped mass matrix [D.sub.L] is calculated using the total mass and allocating the lumped masses in the ratio of the diagonal element of the consistent mass matrix [19].
[F.sup.ext] is the external load vector associated to gravity contribution and boundary conditions, and M is a lumped mass matrix built as:
in which [M.sub.0] is a pseudo lumped mass matrix in diagonal form, built as:
where [M.sub.L] is a lumped mass matrix. A similar multigrid method was suggested in [7], where convergence estimates were shown for the 2D model case under certain assumptions on the discretization.