Results 11 to 20 of about 5,962,437 (315)
A general approach to transforming finite elements [PDF]
, 2017 The use of a reference element on which a finite element basis is constructed once and mapped to each cell in a mesh greatly expedites the structure and efficiency of finite element codes.
R. Kirby
semanticscholar +6 more sources
Equilibrium finite elements for plane problems of the elasticity theory [PDF]
Инженерно-строительный журнал, 2019 The work is devoted to the finite elements construction, based on the stresses approximation, for solving plane problems of the elasticity theory. Such elements are alternative to existing finite elements obtained using displacements approximation ...
Yu.Ya. Tyukalov
doaj +1 more source
Finite element formulations for 3D convex polyhedra in nonlinear continuum mechanics
Computer 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
The Scott-Vogelius finite elements revisited [PDF]
Mathematics of Computation, 2017 We prove that the Scott-Vogelius finite elements are inf-sup stable on shape-regular meshes for piecewise quartic velocity fields and higher ($k \ge 4$).
Johnny Guzmán, R. Scott
semanticscholar +1 more source
Resolving Boundary Layers with Harmonic Extension Finite Elements
Mathematical and Computational Applications, 2022 In recent years, the standard numerical methods for partial differential equations have been extended with variants that address the issue of domain discretisation in complicated domains.
Harri Hakula
doaj +1 more source
Direct determination of shape functions for isoparametric elements with arbitrary node configuration
Open Engineering, 2015 Shape functions have been derived to describe different forms of elements, notably triangles and rectangles in 2-D, and tetrahedrons, cuboids, and triangular prisms in 3-D.
Hoth Julian, Kowalczyk Wojciech
doaj +1 more source
Improved Thin-Walled Finite Curved Beam Elements
Advances in Mechanical Engineering, 2013 The two- and three-noded spatially coupled thin-walled finite curved beam elements are presented on the basis of assumed strain fields. These elements consider the extensional/inextensional conditions along the centroid axis of curved beam.
Nam-Il Kim, Chan-Ki Jeon
doaj +1 more source
Solving the incompressible surface Navier-Stokes equation by surface finite elements [PDF]
, 2017 We consider a numerical approach for the incompressible surface Navier-Stokes equation on surfaces with arbitrary genus g(S). The approach is based on a reformulation of the equation in Cartesian coordinates of the embedding R3, penalization of the ...
Sebastian Reuther, A. Voigt
semanticscholar +1 more source
Modelling drawbeads with finite elements and verification [PDF]
, 1994 Drawbeads are commonly used in deep drawing processes to control the flow of the blank during the forming operation. In finite element simulations of deep drawing the drawbead geometries are seldom included because of the small radii; because of these ...
Carleer, B.D. +3 more
core +2 more sources
Polynomial representation of hybrid finite elements
Computer Assisted Methods in Engineering and Science, 2023 We introduce the hybrid-Trefftz FE formulations for linear statics of solids as well as for linear (slow velocity) steady fluid dynamics. Moving least square procedure is given to obtain continuous secondary fields (such as stresses for solids), which ...
Vladimír Kompiš, Lubor Fraštia
doaj