[HTML][HTML] Deepokan: Deep operator network based on kolmogorov arnold networks for mechanics problems
DW Abueidda, P Pantidis, ME Mobasher - Computer Methods in Applied …, 2025 - Elsevier
The modern digital engineering design often requires costly repeated simulations for
different scenarios. The prediction capability of neural networks (NNs) makes them suitable …
different scenarios. The prediction capability of neural networks (NNs) makes them suitable …
Method of fundamental solutions without fictitious boundary in elastodynamic behavior using dual reciprocity method
THA Naga - Journal of Engineering Mechanics, 2024 - ascelibrary.org
In this paper, a meshless method for analyzing the elastodynamic behavior of two-
dimensional problems is introduced. The nonsingular method of fundamental solutions …
dimensional problems is introduced. The nonsingular method of fundamental solutions …
Method of virtual sources using on-surface radiation conditions for the Helmholtz equation
We develop a novel method of virtual sources to formulate boundary integral equations for
exterior wave propagation problems. However, by contrast to classical boundary integral …
exterior wave propagation problems. However, by contrast to classical boundary integral …
Improved dynamic analysis of shear deformable shells using the hybrid displacement boundary element method
THA Naga, EM Elsheikh - Engineering Analysis with Boundary Elements, 2024 - Elsevier
In this paper, the dynamic analysis of shear deformable shells was conducted using the
hybrid displacement boundary element method (HD-BEM). The approach involved utilizing …
hybrid displacement boundary element method (HD-BEM). The approach involved utilizing …
Improved dynamic analysis for plane elasticity problems with a boundary meshfree method and distributed sources
THA Naga - Computers & Mathematics with Applications, 2024 - Elsevier
In this paper, we present an improved dynamic analysis method to address plane elasticity
problems. Distributed sources are employed in a boundary-free mesh-based approach …
problems. Distributed sources are employed in a boundary-free mesh-based approach …
Algorithms for Solving Some Engineering Problems and Checking the Correctness of Computer Symbolic Calculations
O Vietrov, O Trofymenko, V Trofymenko… - … Conference on Smart …, 2023 - Springer
The method of fundamental solutions is an effective method for solving equations and
systems of partial differential equations that arise in various problems of engineering and …
systems of partial differential equations that arise in various problems of engineering and …