Liu L. Least-squares finite element method for radiation heat transfer in graded index medium. J Quant Spectrosc Radiat Transf 2007;103(3):536-44.L.H. Liu, Least-squares finite element method for radiation heat transfer in graded index medium, JQSRT 103 (2007) 536-544....
Spectral/hp Element Methods for CFD (1999) B.N Jiang A least-squares finite element method for incompressible Navier–Stokes problems Int. J. Numer. Methods Fluids (1992) B.N Jiang et al. Least-squares solution of incompressible Navier–Stokes equations with the p-version of finite elements ...
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...
Tsang, `An efficient least-squares finite element method for incompressible flows and transport processes', Int. J. Comput. Fluid Dyn., 4, 21 -39 (1995).Tang L.Q. and Tsang T.T.H., "An efficient least-squares finite element method for incompressible flows and transport processes", 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 ...
least-squares finite element; deformation method; adaptive grid; shocks Abstract We apply the least-squares finite element method with adaptive grid to nonlinear time-dependent PDEs with shocks. The least-squares finite element method is also used in applying the deformation method to generate the ad...
Based on the first-order system of partial differential equations, the least-squares method is applied to the finite-element method. The rates of convergence for both \lsH\ls and \lsJ̃\ls achieve optimal order. This method creates an easy way to develop computer software....
A method based on backward finite differencing in time and a least-squares finite element scheme for first-order systems of partial differential equations ... BN Jiang,GF Carey - 《International Journal for Numerical Methods in Fluids》 被引量: 19发表: 2010年 DISCONTINUOUS/CONTINUOUS LEAST-SQUARES...
A least-squares method based on the first-order velocity-pressure-vorticity formulation for the Stokes problem is proposed. This method leads to a minimization problem rather than to a saddle-point problem. The choice of the combinations of elements is thus not subject to the Ladyzhenskaya-Babu...
Then, practical penalty methods are defined using methodologies associated with modern least-squares finite-element methods. The advantages, with respect to efficiency, of penalty/leasts-squares methods for optimal control problems compared to methods based on Lagrange multipliers are highlighted. A ...