A novel PIM-based triangular element and its validations
Sign Up to like & getrecommendations! Published in 2019 at "Continuum Mechanics and Thermodynamics"
DOI: 10.1007/s00161-019-00787-x
Abstract: Using the point interpolation method, this study proposes a distinctive node selection scheme, T33-scheme, to construct the approximation over all triangles in the mesh. By the T33-scheme, we always selects out six nodes to take… read more here.
Keywords: novel pim; element; based triangular; element validations ... See more keywords
Cracking elements method with 6-node triangular element
Sign Up to like & getrecommendations! Published in 2020 at "Finite Elements in Analysis and Design"
DOI: 10.1016/j.finel.2020.103421
Abstract: Abstract The cracking elements method (CEM) is a novel Galerkin-based numerical approach for simulating cracking and fracturing processes. It is a crack-opening approach that avoids precise descriptions of the mechanical states of crack tips and… read more here.
Keywords: cracking elements; triangular element; cem; node triangular ... See more keywords
Using Lagrange multipliers in the triangular element of a nonshallow shell under variable interpolation of displacements
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Applied and Industrial Mathematics"
DOI: 10.1134/s1990478917040111
Abstract: We present an algorithmfor calculation of arbitrary thin shells on the basis of a triangular element of discretization with corrective Lagrange multipliers. The stiffness matrix of this element is formed using some ways of approximating… read more here.
Keywords: triangular element; using lagrange; multipliers triangular; element ... See more keywords
A Novel “Finite Element-Meshfree” Triangular Element Based on Partition of Unity for Acoustic Propagation Problems
Sign Up to like & getrecommendations! Published in 2023 at "Mathematics"
DOI: 10.3390/math11112475
Abstract: The accuracy of the conventional finite element (FE) approximation for the analysis of acoustic propagation is always characterized by an intractable numerical dispersion error. With the aim of enhancing the performance of the FE approximation… read more here.
Keywords: acoustic propagation; triangular element; approximation; finite element ... See more keywords