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MIXED FINITE ELEMENT METHOD FOR ELECTROWETTING ON DIELECTRIC WITH CONTACT LINE PINNING
FINITE ELEMENT CONTACT LINE PINNING
2015/12/11
We present a mixed finite element method for a model of the flow in
a Hele-Shaw cell of 2-D fluid droplets surrounded by air driven by surface tension
and actuated by an electric &...
Nonconforming H1-Galerkin Mixed Finite Element Method for Pseudo-Hyperbolic Equations
Pseudo-Hyperbolic Equation Nonconforming H1-Galerkin Mixed Finite Element Error Estimate
2013/1/30
Based on H1-Galerkin mixed finite element method with nonconforming quasi-Wilson element, a numerical approximate scheme is established for pseudo-hyperbolic equations under arbitrary quadrilateral me...
G1 Spline Surface Construction By Geometric Partial Differential Equations Using Mixed Finite Element Methods
Spline surface Discretizations GPDE Convergence
2012/8/8
Variational formulations of three fourth order geometric partial di甧rential equations are
derived, and based on which mixed 痭ite element methods are presented for constructing
G1 smooth B-spline sur...
Dual Formulations of Mixed Finite Element Methods
Dual Formulations Mixed Finite Element Methods
2011/2/22
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...
A posteriori error estimations for mixed finite-element approximations to the Navier-Stokes equations
error estimations mixed finite-element the Navier-Stokes equations
2010/11/18
A posteriori estimates for mixed finite element discretizations of the Navier-Stokes equations are derived. We show that the task of estimating the error in the evolutionary Navier-Stokes equations ca...
Static two-grid mixed finite-element approximations to the Navier-Stokes equations
Static two-grid mixed finite-element the Navier-Stokes equations
2010/11/19
A two-grid scheme based on mixed finite-element approximations to the incompressible Navier-Stokes equations is introduced and analyzed. In the first level the standard mixed finite-element approxima...
Least-Squares Mixed Finite Element Methods for the Incompressible Magnetohydrodynamic Equations
2007/12/12
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...
In this paper, we study numerical approximations of a recently
proposed phase field model for the vesicle membrane deformation
governed by the variation of the elastic bending energy.
To overcome t...
A HIGH ACCURACY ANALYSIS OF THE MIXED FINITE ELEMENT METHOD FOR BIHARMONIC EQUATIONS
Biharmonic equation mixed finite element
2007/8/7
In this paper, the linear mixed finite element method is considered for the biharmonic Dirichlet boundary value problem. Almost optimal error estimates, superconvergence estimates and the derivative e...
A Mixed Finite Element Method for the Contact Problem in Elasticity
contact problem mixed finite element method
2012/7/31
Based on the analysis of [7] and [10], we present the mixed nite element approximation of the variational inequality resulting from the contact problem in elasticity. The convergence rate of the stre...