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 differential operator defining the spatial boundary value problem; and (2) a Riesz map on the test ...
By employing least-squares functionals which involve a discrete inner product which is related to the inner product in H -1(Omega) (the Sobolev space of order minus one on Omega) we develop a finite element method which is unconditionally stable for problems with traction type boundary ...
As we all know, the commonly used discretization methods are: finite difference method, finite element method, finite volume method. The 1. finite difference method is the most classical method in numerical solution. It is the domain is divided into difference grid, solving the continuous domain ...
This paper presents a coupling method between a discrete element code CeaMka3D and a finite element code Sem. The coupling is based on a least-squares meth... Mariotti,Christian,Le,... - 《International Journal for Numerical Methods in Engineering》 被引量: 15发表: 2014年 On polynomial appr...
discretizationprocess,asmallareadividedbya seriesoflinearorcurveclusterscorrespondingtothe coordinateaxisiscalledasubregion.Gridisthebasisof discretization,andgridnodeisthestoragelocationof discretephysicalquantities. Asweallknow,thecommonlyuseddiscretizationmethodsare: finitedifferencemethod,finiteelementmethod,finite...
Galerkin/least-square finite-element methods for steady viscoelastic flows Galerkin methodleast squares approximationsnon-Newtonian flownumerical stabilityThe elastic viscous split stress formulation (EVSS) and the discrete EVSS ... Yurun,Fan,and,... - Journal of Non-Newtonian Fluid Mechanics 被引量:...
and Zabaras N.: ``A Least-Squares Front-Tracking Finite Element Method Analysis of Phase Change with Natural Convection´´, International Journal for ... DJ Mcdaniel,N Zabaras - 《International Journal for Numerical Methods in Engineering》 被引量: 53发表: 1994年 Mixed convection flow of ...
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 ...
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...
The method is moreover used to solve network problems with random structure, indicating error convergence rates at least linear in energy norm and quadratic in \(l^2\)-norm. A challenging theoretical problem for the future is to extend the result in (4.5) beyond finite element based ...