Sentence examples for by finite element approximation from inspiring English sources
The dynamic model of a frame-like structure is obtained by finite element approximation in this paper and used further for the design of an active control mechanism.
The three-dimensional pressure was numerically retrieved using a solution of the pressure Poisson equation discretized by finite element approximation while taking into consideration the effect of turbulence on the pressure in terms of the Reynolds stress.
It is based on Nakao's method by using finite element approximation and its explicit error estimates for the problem.
In this paper, results of this three-component system are compared with a two-component system in which the thermal conductivity of the matrix and particles is homogenized by a finite element approximation under the same thermal conditions.
By introducing an appropriate finite element approximation, a symmetric linear system is obtained.
By using the hp finite element approximation for both the state and the co-state variables and the hp discontinuous Galerkin finite element approximation for the control variable, we derive hp residual-based a posteriori error estimates for both the state and the control approximation.
By using the hp finite element approximation for both the state and the co-state and the hp discontinuous Galerkin finite element approximation for the control, we derive a posteriori error bounds in (L^{2} -(H^{1}) norms for the Neumann boundary optimal control problems governed by semilinear elliptic equations.
By using the hp finite element approximation for both the state and the co-state variables and the hp discontinuous Galerkin finite element approximation for the control variable, we derive hp residual-based a posteriori error estimates for the nonlinear parabolic optimal control problems.
Initial numerical results, obtained by means of a finite element approximation, deal with open cross-section composite profiles under flexural/torsional loads, making it possible to identify the relevance of the connection stiffness over the pre-buckling range of the mechanical response.
In the XFEM, a crack is represented by enriching the classical displacement-based finite element approximation through the framework of partition of unity (Melenk & Babuska 1996).
