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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Two families of $n$-rectangle nonconforming finite elements for sixth-order elliptic equations
六阶椭圆方程 矩形 有限元族
2023/4/13
We propose two families of nonconforming finite elements on $n$-rectangle meshes of any dimension to solve the sixth-order elliptic equations. The unisolvent property and the approximation ability of ...
A sweeping preconditioner for time-harmonic Maxwell’s equations with finite elements
Maxwell’s equations Frequency domain Finite element methods Preconditioners Fast solvers Perfectly matched layers Block LDLt factorization High-frequency waves
2015/7/14
This paper is concerned with preconditioning the stiffness matrix resulting from finite element discretizations of Maxwell’s equations in the high frequency regime. The moving PML sweeping preconditio...
Two remarks on rectangular mixed finite elements for elasticity
Two remarks rectangular finite elements elasticity
2011/1/19
The lowest order nonconforming rectangular element in three dimen-sions involves 54 degrees of freedom for the stress and 12 degrees of freedom for the displacement.
Dual Raviart-Thomas mixed finite elements
finite volumes mixed finite elements Petrov-Galerkin variational formulation
2011/1/19
For an elliptic problem with two space dimensions, we propose to formulate the finite volume method with the help of Petrov-Galerkin mixed finite elementsthat are based on the building of a dual Ravia...
Tsunami waveform inversion by numerical finite-elements Green’s functions
Tsunami waveform inversion numerical finite-elements Green’s functions
2009/12/9
The inversion of tide-gage records to determine the initial state results in the least square inversion of a rectangular system of linear equations. When the inversions are unconstrained, we found tha...
QUADRILATERAL FINITE ELEMENTS FOR PLANAR LINEAR ELASTICITY PROBLEM WITH LARGE LAM$\{'E}$ CONSTANT
Planar linear elasticity optimal error estimates large Lam\'{e} constant locking phenomenon
2007/12/12
In this paper, we discuss the quadrilateral finite element approximation
to the two-dimensional linear elasticity problem associated with a
homogeneous isotropic elastic material. The optimal conver...