In this paper, devoted to ALE formulation for civil engineering problems, the mathematical and numerical implementation of the ALE formulation and the contact algorithm are described.
This study is devoted to the formulation and construction of an integrated model for earthquake risk assessment of buildings in seismic regions.
A significant portion of our effort is devoted to the formulation of the worst-case error in terms of a Bessel kernel, and showing that this kernel satisfies a Bernstein type inequality involving the mesh ratio of XN.
Conceived as an alternative method to deal with highly heterogeneous composite structures, the homogenization approach developed in this paper is devoted to the formulation of the thermoviscoelastic behavior at the macroscopic level.
The 'Implementation in stochastic integral equation' section is devoted to the formulation of nonlinear SDE.
"Branching particle system approximation" Section is devoted to the formulation of a branching particle system to represent the approximate solution of the PDE.
Finally, Section 5 is devoted to the formulation of McKean-Vlasov SPDEs and provides the relationship between the solutions of SPDEs and those of mean-field BDSDEs.
Making use of the variational-iteration method, this work is devoted to a formulation of a time-fractional generalized KdV equation and derives an approximate solitary wave solution.
A theoretical analysis of stability of the proposed adaptive tracking algorithm, as well as of the reduction of noise influence is given in Section 4. Section 5 is devoted to the formulation of IPDA-KCF and IPDA-ICF algorithms.
Many efforts are also devoted to the formulation of extensions of the above problems to the study of existence and uniqueness of best proximity points in cyclic self-mappings, [8, 13, 14, 16 21], to that of proximal contractions, [13, 14] and to the characterization of approximate fixed and coincidence points, [22, 23].
