Analysis of transient wave propagation dynamics using the enriched finite element method with interpolation cover functions

Y Chai, W Li, Z Liu - Applied Mathematics and Computation, 2022 - Elsevier
To improve the performance of the low-order linear triangular element for solving transient
wave propagation problems, this paper presents a novel enriched finite element method …

A review article: isogeometric boundary element analysis in engineering applications

AM Shaaban - International Journal of Hydromechatronics, 2022 - inderscienceonline.com
Isogeometric analysis (IGA) in the framework of the boundary element method (BEM) is
reviewed in this paper. IGA is a fundamental tool in computational mechanics which enables …

Isogeometric indirect BEM solution based on virtual continuous sources placed directly on the boundary of 2D Helmholtz acoustic problems

AM Shaaban, C Anitescu, E Atroshchenko… - … Analysis with Boundary …, 2023 - Elsevier
An indirect boundary element method (BEM) based on isogeometric analysis (IGA) is
proposed for 2D Helmholtz acoustic problems using virtual continuous sources placed …

NURBS-Enhanced polygonal scaled boundary finite element method for heat diffusion in anisotropic media with internal heat sources

Q Zang, SPA Bordas, J Liu, S Natarajan - Engineering Analysis with …, 2023 - Elsevier
We develop polygonal scaled boundary finite element method (SBFEM) with boundaries
represented by non-uniform rational B-splines (NURBS) instead of standard Lagrange …

Numerical investigations with extended isogeometric boundary element analysis (XIBEM) for direct and inverse helmholtz acoustic problems

AM Shaaban, C Anitescu, E Atroshchenko… - … Analysis with Boundary …, 2022 - Elsevier
Isogeometric analysis (IGA) in the framework of the boundary element method (BEM)–
known as isogeometric boundary element analysis or IGABEM–has shown recently …

Isogeometric collocation for acoustic problems with higher-order boundary conditions

E Atroshchenko, AC Hurtado, C Anitescu, T Khajah - Wave Motion, 2022 - Elsevier
Boundary value problems (BVPs) for the Helmholtz equation in an infinite domain include
the requirement on the asymptotic behavior of the solution at infinity, the so-called …

Shape optimization of acoustic devices using the scaled boundary finite element method

T Khajah, L Liu, C Song, H Gravenkamp - Wave Motion, 2021 - Elsevier
In this study, the Scaled Boundary Finite Element Method (SBFEM) was used to perform
analyses and evaluate the objective function in shape optimization of devices relying on …

Boundary element method with high order impedance boundary condition for Maxwell's equations

C Daveau, A Aubakirov, S Oueslati, C Carre - Applied Mathematical …, 2023 - Elsevier
A boundary-element method is introduced for solving electromagnetic scattering problems
for coated objects. We develop a new approximate impedance boundary condition with …

Iterative On Surface Radiation Conditions for fast and reliable single and multiple scattering analyses of arbitrarily shaped obstacles

T Khajah - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
In this paper we develop an iterative method to perform single and multiple scattering
analyses of both convex and non-convex scatterers at very low computational cost and time …

Method of virtual sources using on-surface radiation conditions for the Helmholtz equation

S Acosta, T Khajah - Engineering Analysis with Boundary Elements, 2024 - Elsevier
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 …