Results 11 to 20 of about 113,463 (259)

Finite elements mathematical model of geometric nonlinearity

open access: yesTrudy Odesskogo Politehničeskogo Universiteta, 2015
The article considers the construction of a mathematical model for accounting the geometric nonlinearity at finite elements method. The built model takes into account the changes in system stiffness matrix when changing its shape. In quality of an object
Аnastasiya Yu. Bazhanova   +2 more
doaj   +7 more sources

Generating finite element method in constructing complex-shaped multigrid finite elements [PDF]

open access: yesEPJ Web of Conferences, 2019
The calculations of three-dimensional composite bodies based on the finite element method with allowance for their structure and complex shape come down to constructing high-dimension discrete models.
Matveev Aleksandr
doaj   +1 more source

Strategy to Improve Edge-Based Smoothed Finite Element Solutions Using Enriched 2D Solid Finite Elements

open access: yesApplied Sciences, 2021
In this paper, we present an automatic procedure that enhances the solution accuracy of edge-based smoothed 2D solid finite elements (three-node triangular and four-node quadrilateral elements).
Min-Han Oh, San Kim
doaj   +1 more source

Hanging nodes for higher-order Lagrange finite elements

open access: yesExamples and Counterexamples, 2021
We report in this work an extension of hanging nodes theory for Lagrange elements to higher-order elements. Concrete values of the constants that appear in the applications are also provided.
Abhinav Jha
doaj   +1 more source

Finite element formulations for 3D convex polyhedra in nonlinear continuum mechanics

open access: yesComputer Assisted Methods in Engineering and Science, 2017
In this paper, we present finite element formulations for general three-dimensional convex polyhedra for use in a common finite element framework that are well suited, e.g., for modeling complex granular materials and for mesh refinements.
Markus Kraus, Paul Steinmann
doaj   +1 more source

Numerical modelling of the poto-poto by coupling of finite elements and boundary elements for acoustic characterization

open access: yesResults in Engineering, 2022
Sustainable development encourages the construction of buildings based from local raw materials because they are ecological, renewable, available, low energy consumption, less costly, low pollution, and therefore without risk to human health.
E. Kowa Ketchadji   +5 more
doaj   +1 more source

On the Equivalence of Finite Element and Finite Integration Formulations [PDF]

open access: yesIEEE Transactions on Magnetics, 2010
The paper offers a comparative study of numerical methods of analysis of electromagnetic fields. The focus is on the finite element method (FEM) and finite integration technique (FIT), but with the cell and equivalent network approaches also considered.
Demenko, A.   +2 more
openaire   +3 more sources

Stochastic finite elements: Where is the physics? [PDF]

open access: yesTheoretical and Applied Mechanics, 2011
The micromechanics based on the Hill-Mandel condition indicates that the majority of stochastic finite element methods hinge on random field (RF) models of material properties (such as Hooke’s law) having no physical content, or even at odds with ...
Ostoja-Starzewski Martin
doaj   +1 more source

The Serendipity Family of Finite Elements [PDF]

open access: yesFoundations of Computational Mathematics, 2011
We give a new, simple, dimension-independent definition of the serendipity finite element family. The shape functions are the span of all monomials which are linear in at least s-r of the variables where s is the degree of the monomial or, equivalently, whose superlinear degree (total degree with respect to variables entering at least quadratically) is
Douglas N. Arnold, Gerard Awanou
openaire   +3 more sources

Real Elements and p-Nilpotence of Finite Groups [PDF]

open access: yesAdvances in Group Theory and Applications, 2016
Our first main result proves that every element of order 4 of a Sylow 2-subgroup S of a minimal non-2-nilpotent group G, is a real element of S. This allows to give a character-free proof of a theorem due to Isaacs and Navarro (see [9, Theorem B]). As an
Adolfo Ballester-Bolinches   +2 more
doaj   +1 more source

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