Large scale scattering using fast solvers based on neural operators

Z Zou, A Kahana, E Zhang, E Turkel, R Ranade… - arXiv preprint arXiv …, 2024 - arxiv.org
We extend a recently proposed machine-learning-based iterative solver, ie the hybrid
iterative transferable solver (HINTS), to solve the scattering problem described by the …

Numerical investigations of an implicit leapfrog time-domain meshless method

G Ala, E Francomano - Journal of Scientific Computing, 2015 - Springer
Numerical solution of partial differential equations governing time domain simulations in
computational electromagnetics, is usually based on grid methods in space and on explicit …

[HTML][HTML] Quasi-optimal rates of convergence for the generalized finite element method in polygonal domains

AL Mazzucato, V Nistor, Q Qu - Journal of Computational and Applied …, 2014 - Elsevier
We consider a mixed-boundary-value/interface problem for the elliptic operator P=−∑ ij∂ i
(aij∂ ju)= f on a polygonal domain Ω⊂ R 2 with straight sides. We endowed the boundary of …

Meshless boundary particle methods for boundary integral equations and meshfree particle methods for plates

CB Davis - 2011 - search.proquest.com
For approximating the solution of partial differential equations (PDE), meshless methods
have been introduced to alleviate the difficulties arising in mesh generation using the …

[PDF][PDF] Solving elasto-static bounded problems with a novel arbitrary-shaped element

H Khalaj-Hedayati, MI Khodakarami - Civil Engineering Journal, 2019 - core.ac.uk
A simple method to analysis any arbitrary domain shapes with a single element which based
on Decoupled Scaled Boundary Finite Element Method is presented in this paper. The …

Enriched meshfree method for an accurate numerical solution of the Motz problem

WT Hong - Advances in Mathematical Physics, 2016 - Wiley Online Library
We present an enriched meshfree solution of the Motz problem. The Motz problem has been
known as a benchmark problem to verify the efficiency of numerical methods in the presence …

Application of Decoupled Scaled Boundary Finite Element Method to Solve Eigenvalue Helmholtz Problems (Research Note)

MI Khodakarami, HR Khalaj Hedayati - International Journal of Engineering, 2020 - ije.ir
A novel element with arbitrary domain shape by using decoupled scaled boundary finite
element (DSBFEM) is proposed for eigenvalue analysis of 2D vibrating rods with different …