We study the strong superconvergence of a semidiscrete finite element scheme for linear parabolic problems on Q Ω × 0, T , where Ω is a bounded domain in R d ≤ 4 with piecewise smooth boundary. We establish the global two order superconvergence results for the error between the approximate solution and the Ritz projection of the exact solution of ourmodel problem inW1,p Ω and Lp Q with 2 ≤ p < ...

introduction: in the present study, we hypothesized that a novel approach to promote vascularization would be to create injectable three dimensional (3-d) scaffolds within growth factor that enhance the sustained release of growth factor and induce the angiogenesis. material and methods: we demonstrate that a 3-d scaffold can be formed by mixing of peptide-amphiphile (pa) aqueous solution with ...

This paper presents the bending stress analysis of anisotropic plate material under transverse loading using a three-dimensional (3-D) theory. The static elastic theory was used to formulate total energy expression thereafter, transformed into compatibility equation through general variation get slope and deflection relationship. solution equations equilibrium gave rise exact polynomial functio...

In a previous paper (P. D. Mannheim, Phys. Rev. D 102, 123535 (2020)) we studied cosmological perturbation theory in the cosmology associated with fourth-order derivative conformal gravity theory, and provided an exact solution to recombination era. this present that holds all way from until current

We study the connection between magnetization profiles of models described by a scalar field with marginal interaction term in bounded domain and solutions so-called Yamabe problem same domain, which amounts to finding metric having constant curvature. Taking slab as reference we first at upper critical dimensions $d=3$, $4$, $6$ for different (scale invariant) boundary conditions. By studying ...

In the present paper, the analytical solution for an exact second order fuzzy initial value problem under generalized Hukuhara differentiability is obtained. First the solution of first order linear fuzzy differential equation under generalized Hukuhara differentiability is investigated using integration factor methods in two cases. The second based on the type of generalized Hukuhara different...

In this paper, the classic coupled poro-thermoelasticity model of hollow and solid cylinders under radial symmetric loading condition is considered. A full analytical method is used and an exact unique solution of the classic coupled equations is presented. The thermal and pressure boundary conditions, the body force, the heat source and the injected volume rate per unit volume of a distribute ...

One of the most important tools for accelerating comprehensive computations in multi dimensions (in particular in 3-D) is the local adaption of the grid. In order to minimize the computing time the local grid size should be chosen such that the error ||u − uh|| between the exact solution u and the numerical solution uh is less than a given tolerance and such that the total number of cells is as...