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During our calculations, the finite element degree and grid discretization were refined to ensure a convergence in the scattering and absorption cross sections to the 0.01 level.
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For inner-elemental support points, these are all element degrees of freedom.
Schur complement method is used and all interior element degrees of freedom are condensed out and interface degrees of freedom are solved either by direct solver (banded Cholesky factorization) or iterative solver (preconditioned conjugate gradient).
We know from Lemma 2.15 that (tau ^{-1}(X)) is a super-symmetrized element of degree two in the Clifford Weyl algebra (mathfrak {q}(W)).
The results are compared with available approximate solutions for the corresponding lumped element, single degree of freedom model of the structure.
Investigators often choose putative causal genes based on (a) proximity to the regulatory element, (b) degree to which expression is affected, or (c) a gene function that can be easily imagined to contribute to the disease risk.
Notice that hydrogen atoms (the most frequently found chemical elements with degree 1) are not considered in the generation process, since they are terminal elements of the molecule and they cannot connect two disconnected elements of the molecule.
In this element, five degrees of freedom areconsidered at each node, comprising three translations and two rotations of thenormal.
It indicates that curvilinear elements of degree 2k+1 should be used for optimal convergence rate of order k+1.
The DDG method when applied to linear Schrödinger equations is shown to have the optimal (k+1 th order of accuracy for polynomial elements of degree k.
The damaged part of the beam is replaced by the cracked beam finite element with degrees of freedom identical to those of the non-cracked one.
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