Meshless generalized finite difference method for water wave interactions with multiple-bottom-seated-cylinder-array structures

ZJ Fu, ZY Xie, SY Ji, CC Tsai, AL Li - Ocean Engineering, 2020 - Elsevier
This paper presents the meshless generalized finite difference method (GFDM) in
conjunction with the truncated treatments of infinite domain for simulating water wave …

[HTML][HTML] Analysis of three-dimensional interior acoustic fields by using the localized method of fundamental solutions

W Qu, CM Fan, Y Gu, F Wang - Applied Mathematical Modelling, 2019 - Elsevier
The traditional method of fundamental solutions has a full interpolation matrix, and thus its
solution is computationally expensive, especially for large-scale problems with complicated …

Numerical modeling of sublimation heat and mass transfer with convective interface and temperature-dependent thermal properties

V Chaurasiya - International Communications in Heat and Mass …, 2024 - Elsevier
The sublimation process, which directly transforms solid materials into gaseous water vapor,
is typically utilized with items of great value, particularly in the food and pharmaceutical …

The generalized finite difference method with third-and fourth-order approximations and treatment of ill-conditioned stars

AC Albuquerque-Ferreira, M Ureña… - Engineering Analysis with …, 2021 - Elsevier
In this paper, we solve 2D and 3D second-order partial differential equations considering the
Generalized Finite Difference Method with third-and fourth-order approximations. We …

A GFDM based computational model for the analysis of tunnels under gravitational loadings

Y Mengi, F Korkut - Tunnelling and Underground Space Technology, 2024 - Elsevier
Based on an impedance relation, a new computational model is developed for the analysis
of tunnels under gravitational loading. The shape of tunnel is arbitrary. The impedance …

On the use of complex stretching coordinates in generalized finite difference method with applications in inhomogeneous visco-elasto dynamics

F Korkut, Y Mengi, T Tokdemir - Engineering Analysis with Boundary …, 2022 - Elsevier
In the study, in conjunction with perfectly matched layer (PML) analysis, an approach is
proposed for the evaluation of complex derivatives directly in terms of complex stretching …

Interaction analysis revisited by generalized finite difference method with perfectly matched layer

Y Mengi, F Korkut - Soil Dynamics and Earthquake Engineering, 2023 - Elsevier
A unified formulation is given for solid-solid interaction problems. For the description of the
formulation, the embedded foundation problem is considered with interaction interface being …

The use of FFT algorithm for circumferential coordinate in axisymmetric analysis of solids by generalized finite difference method

F Korkut, Y Mengi - Computers and Geotechnics, 2023 - Elsevier
A formulation is presented for GFDM analysis of axisymmetric viscoelastic bodies under
general loading conditions. The proposed formulation reduces the dimension of analysis by …

A technique for generating adapted discretizations to solve partial differential equations with the generalized finite difference method

AC Albuquerque‐Ferreira, M Ureña… - … Methods in the …, 2022 - Wiley Online Library
The generalized finite difference method is a meshless method for solving partial differential
equations that allows arbitrary discretizations of points. Typically, the discretizations have …