A novel numerical manifold method and its application in parameterized LSM-based structural topology optimization

S Deng, S Duan, P Wang, W Wen - Computer Methods in Applied …, 2024 - Elsevier
In this paper, a high-efficiency structural topology optimization framework based on
combination of numerical manifold method (NMM) and parameterized level set method …

Buckling-based topology optimization for underwater pressure hull with modified parameterized level-set method

Y Jiang, T He, M Zhao - European Journal of Mechanics-A/Solids, 2025 - Elsevier
Buckling is a common phenomenon in compression structures, and its occurrence will cause
significant damage, especially in the application of underwater pressure hulls. In this paper …

A novel quasi-smooth tetrahedral numerical manifold method and its application in topology optimization based on parameterized level-set method

S Deng, P Wang, W Wen, J Liang - Computer Methods in Applied …, 2024 - Elsevier
In this paper, a novel quasi-smooth tetrahedral numerical manifold method (NMM) and its
two-dimensional (2D) counterpart are proposed. A new topology optimization method is …

Radial basis function-based differential quadrature for dam break problems

AM Behroozi, CI Meier, M Vaghefi - Engineering Analysis with Boundary …, 2023 - Elsevier
This study presents a new approach for simulating dam break flows with the two-
dimensional shallow water equations (SWE), incorporating wet and dry beds, as well as …

Nesterov's acceleration for level set-based topology optimization using reaction-diffusion equations

T Oka, R Misawa, T Yamada - Applied Mathematical Modelling, 2023 - Elsevier
This paper discusses level set-based structural optimization. Level set-based structural
optimization is a method used to determine an optimal configuration for minimizing objective …

[HTML][HTML] Predictive modelling of residual stress in turning of hard materials using radial basis function network enhanced with principal component analysis

A Farias, NW Paschoalinoto, EC Bordinassi… - … Science and Technology …, 2024 - Elsevier
This study proposes a hybrid machine learning (ML) model that combines a radial basis
function network (RBFN) with principal component analysis (PCA) to predict residual stress …

A hybrid FEM-Meshless approach for dynamic analysis of homogeneous and inhomogeneous structures

R El Kadmiri, Y Belaasilia, A Timesli - Engineering Analysis with Boundary …, 2025 - Elsevier
In this article, a hybrid FEM-MESHLESS method for dynamic analysis of homogeneous and
inhomogeneous structures is developed. This hybrid method has already been shown by El …

A truly meshless approach to structural topology optimization based on the Direct Meshless Local Petrov–Galerkin (DMLPG) method

L Sousa, S Oliveira, C Vidal… - Structural and …, 2024 - Springer
With a wide applicability in several types of engineering problems, topology optimization is
one of the most interesting fields of structural optimization. Many meshless methods have …

Multi-scale topology optimization of periodic structures with orthotropic multiple materials using the element-free Galerkin method

J Zhang, R Gao, H Zhang, O Guo, J Chen… - Engineering …, 2024 - Taylor & Francis
ABSTRACT A multi-scale topology optimization model is proposed for orthotropic multi-
material periodic structures using the element-free Galerkin method. The macro multi …

Multi-material topology optimization with a direct meshless local Petrov–Galerkin method applied to a two-dimensional boundary value problem

SMF de Oliveira, LLC Sousa, CA Vidal… - Engineering …, 2024 - Taylor & Francis
This work presents a novel approach for the solution of multi-material topology optimization
problems of elastic structures coupling the Direct Meshless Local Petrov–Galerkin (DMLPG) …