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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...
Energy stable and momentum conserving interface stabilised finite element method for the incompressible Navier-Stokes equations
Finite element method stabilised finite element methods
2011/3/3
An interface stabilised finite element method for the incompressible Navier-Stokes
equations is presented. The method inherits the attractive stabilising mechanism of upwinded discon-tinuous Galerkin...
On a finite element approximation of the Stokes problem under leak or slip boundary conditions of friction type
Finite element method Stokes equations Boundary conditions of friction type
2011/2/25
A nite element approximation of the Stokes equations under a certain nonlinear boundary condition, namely, the slip or leak boundary con-dition of friction type, is considered. We propose an approxim...
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...
Metrology of EUV Masks by EUV-Scatterometry and Finite Element Analysis
EUV Masks EUV-Scatterometry Finite Element Analysis
2010/11/16
Extreme ultraviolet (EUV) lithography is seen as a main candidate for production of future generation computer technology. Due to the short wavelength of EUV light (around 13 nm) novel reflective mas...
Variable Order Mixed H-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry. Ii. Affine and Curvilinear Elements in 2D
Variable Mixed H-Finite Element Method
2010/11/9
We continue our study on variable order Arnold-Falk-Winther elements for 2D elasticity in context of both affine and parametric curvilinear elements. We present an $h$-stability result for affine ele...
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...
Adaptive Finite Element Modeling Techniques for the Poisson-Boltzmann Equation
Poisson-Boltzmann equation semi-linear partial differential equations
2010/12/14
We consider the design of an effective and reliable adaptive finite element method (AFEM) for the nonlinear Poisson-Boltzmann equation (PBE).We first examine the two-term regularization technique for ...
A posteriori error estimates for a finite element approximation of transmission problems with sign changing coefficients
A posteriori estimator non positive definite diffusion problems
2010/12/8
We perform the a posteriori error analysis of residual type of a transmission problem with sign changing coefficients. According to [6] if the contrast is large enough, the continuous problem can be t...
A Finite Element Aquifer Model which takes into Account Elevation Changes of the Aquifer
Finite Element Aquifer Model Elevation Changes Aquifer
2009/10/29
A finite element formulation for confined aquifer flow, which takes into
account elevation changes of the aquifer is presented. The middle surface of
the aquifer is assumed not as a horizontal plane...
Finite Element Analysis of Square Aquifers Containing Pumped Wells and Comparison with Finite Difference Method
Finite Element Analysis Square Aquifers Pumped Wells
2009/10/28
The numerical solution of the behaviour of discrete time steps in digital computer
analysis of square aquifers containing pumped wells is examined by
using the finite element method with a 4 node li...
Finite Element Analysis of Controlled Saltwater Intrusion in Heterogeneous Reservoirs
Finite Element Analysis Saltwater Intrusion Heterogeneous Reservoirs
2009/10/27
Environmental cleaning operations in coastal areas by pumping are complicated
by the presence of both fresh water and salt water. The density difference
makes the flow conditions very complicated to...
Comparative Mechanical Dynamic Analysis of Permanent Magnet Generator Using Finite Element and Fuzzy Methods
PM generator Fuzzy model Finite-element analysis Moment of inertia ANFIS Sugeno fuzzy inference system
2009/9/25
This paper describes the fuzzy modeling of permanent magnet generator for studying its mechanical dynamic analysis. Firstly electromagnetic torque analysis of the generator is carried out using finite...
An Automated Finite Element Mesh Generation and Element Coding in 2-D Electromagnetic Inversion
finite element method automated mesh generation 2-D electromagnetic inversion
2009/6/10
An automated mesh generation and element coding in finite element modelling is developed for
the optimisation of geometrical and physical model parameters of the 2-D structures. The approach is based...
Convergence Analysis of the Adaptive Finite Element Method with the Red-Green Refinement
Adaptive Finite Element Method Convergence Analysis Red-Green Refinement
2015/5/6
Abstract. In this paper, we analyze the convergence of the adaptive conforming P 1 element method with the red-green refinement. Since the mesh after refining is not nested into the one before, the Ga...