Least squares methodsDPG methodsCondition numberA finite element methodology for large classes of variational boundary value problems is defined which involves discretizing two linear operators: (1) the differe
Various methods have been proposed by researchers to address fracture-related issues, including phase field theory2, extended finite element method3,4, peridynamics1, and discrete element method5. Phase field theory for fractures utilizes a continuous damage function to approximate the presence of free...
fluid mechanics (Galerkin) or the least squares method was also finite element equation and finite element method can be applied to various physical fields in any differential equations describing, and extremal problems no longer to solve this kind of functional and physical field have contact...
Approximating the least-squares solves for the Weiszfeld algorithm in Figure 4 may improve timing but more care is needed to guarantee convergence. The ADMM parameter β in Figure 5 could be adjusted automatically, e.g. via [He et al. 2000], and alter- native methods for geometric median ...
14. Similarly as in case of contact between two spheres (Fig. 2) the contact force between the sphere and external edge F of a finite element is decomposed into normal and tangential components, Fn and FT. In a general case the contact model between discrete elements and finite element ...
This paper presents a fully Lagrangian mixed discrete least squares meshfree (MDLSM) method for simulating the free surface problems. In the proposed metho
( 4.7 ), along with the least-squares type statistic based on the test criterion $$\begin{aligned} \psi _{n,\gamma }= n \int _{0}^1 \left( \sum _{j=1}^n \widehat{\varepsilon }^2_j(t)\right) w_\gamma (t) {\textrm{d}}t. \end{aligned}$$ (5.1) in ( 5.1 ) we ...
This article is part of Special Issue: Advanced Numerical Methods for Simulation of Multiphase Flow in Fractured ReservoirsSections PDF Tools Share Abstract In this study, we present a hybrid model coupled with two-set nodes Green element method (GEM) and embedded discrete fracture model (EDFM)...
While such programming has focused on the geometry of a tessellation in a single transient state, here we provide a complete description of folding smooth saddle shapes from concentrically pleated squares. When the offset between square creases of the pattern is uniform, it is known as the ...
These are among the most popular methods for spectrum estimation. The discrete Fourier transform method The DFT is a method to obtain a frequency domain representation of a finite sequence acquired by sampling a continuous function at regular intervals. It is widely used to investigate the spectral...