Results 11 to 20 of about 14,649,018 (327)

Generalizations of the Finite Element Method

open access: yesOpen Mathematics, 2012
Abstract This paper is concerned with the generalization of the finite element method via the use of non-polynomial enrichment functions. Several methods employ this general approach, e.g. the extended finite element method and the generalized finite element method.
Schweitzer Marc
doaj   +4 more sources

A two-level enriched finite element method for a mixed problem [PDF]

open access: yes, 2011
The simplest pair of spaces is made inf-sup stable for the mixed form of the Darcy equation. The key ingredient is to enhance the finite element spaces inside a Petrov-Galerkin framework with functions satisfying element-wise local Darcy problems with ...
Barrenechea, Gabriel   +3 more
core   +4 more sources

The finite-volume method in computational rheology [PDF]

open access: yes, 2012
The finite volume method (FVM) is widely used in traditional computational fluid dynamics (CFD), and many commercial CFD codes are based on this technique which is typically less demanding in computational resources than finite element methods (FEM ...
Pinho, F.T.   +4 more
core   +4 more sources

A finite element method for electrowetting on dielectric [PDF]

open access: yesJournal of Computational Physics, 2021
We consider the problem of electrowetting on dielectric (EWoD). The system involves the dynamics of a conducting droplet, which is immersed in another dielectric fluid, on a dielectric substrate under an applied voltage. The fluid dynamics is modeled by the two-phase incompressible Navier-Stokes equations with the standard interface conditions, the ...
Quan Zhao, Weiqing Ren
openaire   +3 more sources

Vehicle-bridge dynamic interaction using finite element modelling [PDF]

open access: yes, 2010
First investigations on the dynamic response of bridges due to moving loads were motivated by the collapse of the Chester railway bridge in the UK in the middle of the 19th century.
Arturo Gonzalez, González, Arturo
core   +2 more sources

The vortex method with finite elements [PDF]

open access: yesMathematics of Computation, 1981
This work shows that the method of charcteristics is well suited for the numerical solution of first order hyperbolic partial differential equations whose coefficients are approximated by functions piecewise constant on a finite element triangulation of the domain of integration.
Bardos, Claude   +2 more
openaire   +1 more source

Advances in Finite Element Method [PDF]

open access: yesMathematical Problems in Engineering, 2014
1 AML, Department of Engineering Mechanics, School of Aerospace, Tsinghua University, Beijing 100084, China 2 College of Engineering, Swansea University, Swansea SA2 8PP, UK 3 School of Mechanical and Aerospace Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798, Singapore 4 State Key Laboratory of Ocean Engineering ...
Cen, Song   +3 more
openaire   +2 more sources

Conforming finite element methods for the clamped plate problem [PDF]

open access: yes, 1975
Finite element methods for solving biharmonic boundary value problems are considered. The particular problem discussed is that of a clamped thin plate. This problem is reformulated in a weak, form in the Sobolev space Techniques for setting up conforming
Whiteman, J R, J. R. Whiteman
core   +7 more sources

Solution of Large Stochastic Finite Element Problems – Application to ECT-NDT [PDF]

open access: yes, 2013
Version éditeur disponible à cette adresse : http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6514633This paper describes an efficient bloc iterative solver for the Spectral Stochastic Finite Element Method (SSFEM). The SSFEM was widely used to
MOREAU, Olivier   +3 more
core   +1 more source

Extended group finite element method [PDF]

open access: yesApplied Numerical Mathematics, 2021
Interpolation methods for nonlinear finite element discretizations are commonly used to eliminate the computational costs associated with the repeated assembly of the nonlinear systems. While the group finite element formulation interpolates nonlinear terms onto the finite element approximation space, we propose the use of a separate approximation ...
Kevin Tolle, Nicole Marheineke
openaire   +4 more sources

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