Least-squares finite-element method for shallow-water equations with source terms浅水方程,最小二乘,源项,有限,共轭梯度法,动量方程,空间离散,插值函数因为它的非线性的夸张性质,浅水的方程(SWE ) 的数字答案是一项挑战性的任务,承认满足(C) 性质的不连续的答案,和需要。在动量方程的来源术语的存在例如底部斜坡...
Since their emergence, finite element methods have taken a place as one of the most versatile and powerful methodologies for the approximate numerical solution of Partial Differential Equations. These methods are used in incompressible fluid flow, heat, transfer, and other problems. This book provides...
Least squares for 2mth order elliptic boundary-value problems Math. Comput. (1971) C.L. Chang An error estimate of the least squares finite element method for the Stokes problem in three dimensions Math. Comput. (1994) C.L. Chang Finite element approximation for Grid-Div type systems in th...
The method incor... J Chaudhry,E Cyr,K Liu,... - 《Siam J.numer.anal》 被引量: 0发表: 2014年 Least-squares finite element methods for quantum electrodynamics Aignificantmountfheomputationalime in largeontearloimulationsf latticeieldheory ispent invertinghe discrete Diracperator.nfortunately...
In this paper, a least-squares finite element method for scalar nonlinear hyperbolic balance laws is proposed and studied. The approach is based on a formulation that utilizes an appropriate Helmholtz decomposition of the flux vector and is related to the standard notion of a weak solution. This...
Least-squares finite element methods (LSFEMs) aim to provide a Rayleigh–Ritz-like variational setting for any PDE, even if it is not associated with an unconstrained optimization principle. To this end, LSFEMs depend on an artificial, external energy-type principle (a least-squares principle) ...
当当中华商务进口图书旗舰店在线销售正版《海外直订The Least-Squares Finite Element Method: Theory and Applications in Co 最小二乘有限元法:计算流体力学和电磁学的理论和应用》。最新《海外直订The Least-Squares Finite Element Method: Theory and Applications in
finite elementsleast-squaresfirst-order elliptic systemsIn Section 2.2, we introduced many of the ideas that form the core of modern leastsquares finite element methods (LSFEMs). In this chapter, we develop a mathematical theory that makes precise the key ideas and provides a rigorous framework ...