Results 21 to 30 of about 54 (48)
Several Treatments on Nonconforming Element Failed in the Strict Patch Test
Mathematical Problems in Engineering, Volume 2013, Issue 1, 2013., 2013 For nonconforming finite elements, it has been proved that the models whose convergence is controlled only by the weak form of patch tests will exhibit much better performance in complicated stress states than those which can pass the strict patch tests. However, just because the former cannot provide the exact solutions for the patch tests of constant
Xiao-Ming Chen +4 more
wiley +1 more source
A Comparative Study of Polygonal Element Formulations for Linear Elasticity
Proceedings in Applied Mathematics and Mechanics, Volume 25, Issue 4, December 2025.ABSTRACT With the rising complexity of architectural design, a growing interest in topology optimization, and the increasing need to model crack propagation, there is a higher demand for highly flexible geometry descriptions that go hand in hand with robust element formulations.
Ajay Kumar Pasupuleti +7 more
wiley +1 more source
Milestones in the Development of Iterative Solution Methods
Journal of Electrical and Computer Engineering, Volume 2010, Issue 1, 2010., 2010 Iterative solution methods to solve linear systems of equations were originally formulated as basic iteration methods of defect‐correction type, commonly referred to as Richardson′s iteration method. These methods developed further into various versions of splitting methods, including the successive overrelaxation (SOR) method.
Owe Axelsson, Christian Schlegel
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Advanced Engineering Materials, Volume 27, Issue 22, November 2025.Cubic Bézier curves are used in the synthesis of novel surface‐based metamaterials with tunable mechanical properties. Surface‐based geometries are 3D printed and tested in compression. The resulting mechanical properties are correlated to changes in the shape of the base curve, with high potential in energy absorption through the adjustment of their ...
Alberto Álvarez‐Trejo +2 more
wiley +1 more source
On the stability of mixed polygonal finite element formulations in nonlinear analysis
International Journal for Numerical Methods in Engineering, Volume 125, Issue 9, 15 May 2024.Abstract This article discusses the accuracy and stability of the pressure field in nonlinear mixed displacement‐pressure finite element formulations in solid mechanics. We focus on two‐dimensional mixed polygonal finite element formulations with linear displacement and constant pressure approximations in particular.
Bjorn Sauren, Sven Klinkel
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A Survey on Cage‐based Deformation of 3D Models
Computer Graphics Forum, Volume 43, Issue 2, May 2024.Abstract Interactive deformation via control handles is essential in computer graphics for the modeling of 3D geometry. Deformation control structures include lattices for free‐form deformation and skeletons for character articulation, but this report focuses on cage‐based deformation.
D. Ströter +9 more
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International Journal of Chemical Engineering, Volume 2024, Issue 1, 2024.This study mathematically examines chemical and biomaterial models by employing the finite element method. Unshaped biomaterials’ complex structures have been numerically analyzed using Gaussian quadrature rules. It has been analyzed for commercial benefits of chemical engineering and biomaterials as well as biorefinery fields.
T. M. Mamatha +6 more
wiley +1 more source
Dual Formulations of Mixed Finite Element Methods with Applications. [PDF]
Comput Aided Des, 2011 Gillette A, Bajaj C.
europepmc +1 more source
QUADRATIC SERENDIPITY FINITE ELEMENTS ON POLYGONS USING GENERALIZED BARYCENTRIC COORDINATES. [PDF]
Math Comput, 2014 Rand A, Gillette A, Bajaj C.
europepmc +1 more source