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Multiscale phenomena significantly impact on the computation and modeling for scientific and engineering problems. Multiscale finite element methods are used to build reduced order computational model...
Variational formulations of three fourth order geometric partial di甧rential equations are derived, and based on which mixedite element methods are presented for constructing G1 smooth B-spline sur...
In this paper, we will discuss the mixed boundary value problems for the second order elliptic equation with rapidly oscillating coefficients in perforated domains, and will present the higher-order...
Mixed finite element methods solve a PDE using two or more variables. The theory of Discrete Exterior Calculus explains why the degrees of freedom associated to the different variables should be store...
When parametric functions are used to blend 3D surfaces, geometric continuity of displacements and derivatives until to the surface boundary must be satisfied. By the traditional blending techniqu...
Least-squares mixed finite element methods are proposed and analyzed for the incompressible magnetohydrodynamic equations, where the two vorticities are additionally introduced as independent variable...
For coupled system of multilayer dynamics of fluids in porousmedia, the characteristic alternating-direction finite elementmethods for nonrectangular regions applicable to parallelarithmetic are put f...
We develop the interpolated finite element method to solve second-order hyperbolic equations. The standard linear finite element solution is used to generate a newsolution by quadratic interpolation o...
In this paper,a numerical analysis of finite element methods for Fredholm equations of the first kind, which is based upon regularization, is made. It shows that extrapolation algorithms can accelerat...

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