An efficient scaled boundary finite element method for transient vibro-acoustic analysis of plates and shells

J Li, Z Shi, L Liu, C Song - Computers & Structures, 2020‏ - Elsevier
This paper develops an efficient modeling technique based on the scaled boundary finite
element method (SBFEM) for transient vibro-acoustic analysis of plates and shells. For …

Overlap** finite elements for the Navier-Stokes equations

WL Nicomedes, KJ Bathe, FJS Moreira… - Computers & …, 2024‏ - Elsevier
The purpose of this paper is to investigate the performance of a certain family of low-order
quadrilateral finite elements in the solution of the stationary Navier-Stokes equations …

Dynamic analysis of the three-phase magneto-electro-elastic (MEE) structures with the overlap** triangular finite elements

C Liu, K Li, S Min, Y Chai - Computers & Mathematics with Applications, 2025‏ - Elsevier
The conventional finite element method (FEM) usually fails to generate sufficiently fine
numerical solutions in the analyses of Mageto-electro-elastic (MEE) structures in which three …

[PDF][PDF] The method of finite spheres in acoustic wave propagation through nonhomogeneous media: Inf-sup stability conditions

WL Nicomedes, KJ Bathe, FJS Moreira… - Vietnam J …, 2020‏ - researchgate.net
When the method of finite spheres is used for the solution of time-harmonic acoustic wave
propagation problems in nonhomogeneous media, a mixed (or saddle-point) formulation is …

On the energy-sampling stabilization of Nodally Integrated Continuum Elements for dynamic analyses

R Sivapuram, P Krysl - Finite Elements in Analysis and Design, 2019‏ - Elsevier
Nodally integrated elements exhibit spurious modes in dynamic analyses (such as in modal
analysis). Previously published methods involved a heuristic stabilization factor, which may …

Acoustic scattering in nonhomogeneous media and the problem of discontinuous gradients: Analysis and inf‐sup stability in the method of finite spheres

WL Nicomedes, KJ Bathe, FJS Moreira… - International Journal …, 2021‏ - Wiley Online Library
In this paper we focus on a meshfree formulation for the solution of time‐harmonic acoustic
scattering problems and verify the stability of the procedure. The sound waves propagate in …

A continuous-stress tetrahedron for finite strain problems

P Areias, T Rabczuk, F Carapau, JC Lopes - Finite Elements in Analysis …, 2019‏ - Elsevier
A finite-strain tetrahedron with continuous stresses is proposed and analyzed. The complete
stress tensor is now a nodal tensor degree-of-freedom, in addition to displacement …

Advancing frontiers in finite element procedures

KJ Bathe - Advances in Engineering Materials, Structures and …, 2019‏ - taylorfrancis.com
We focus briefly on some of our recent achievements to advance the frontiers of finite
element procedures. The advances pertain to the development of methods for dynamic …

[كتاب][B] Assumed Strain Finite Element Formulations and Stabilization Techniques

R Sivapuram - 2020‏ - search.proquest.com
The design of any engineering component requires robust analysis using numerical
methods like the Finite Element Method. Of paramount importance is to develop convergent …