Q2085936
type: Item
instance of: scholarly article
title: Simulation of Maxwell equation based on an ADI approach and integrated radial basis function-generalized moving least squares (IRBF-GMLS) method with reduced order algorithm based on proper orthogonal decomposition
author: Ali Ebrahimijahan
author: Mehdi Dehghan
author: Mostafa Abbaszadeh
published in: Engineering Analysis with Boundary Elements
publication date: 2022-10-19T00:00:00Z
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 35D35
Mathematics Subject Classification ID: 86A10
zbMATH DE Number: 7604164
zbMATH Keywords: integrated radial basis functions
zbMATH Keywords: local meshless method
zbMATH Keywords: generalized moving least squares
zbMATH Keywords: proper orthogonal decomposition (POD)
zbMATH Keywords: Maxwell equations
zbMATH Keywords: alternative direction implicit
zbMATH Keywords: electromagnetic topics
Wikidata QID: Q113875186
MaRDI profile type: Publication
full work available at URL: j.enganabound.2022.06.020
OpenAlex ID: W4285014535
cites work: Time-varying additive perturbations of well-posed linear systems
cites work: Finite Element Methods for Maxwell's Equations
cites work: A meshless local Petrov-Galerkin method for the time-dependent Maxwell equations
cites work: The Mortar Finite Element Method for 3D Maxwell Equations: First Results
cites work: Energy-dissipation splitting finite-difference time-domain method for Maxwell equations with perfectly matched layers
cites work: Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
cites work: Error analysis of a discontinuous Galerkin method for Maxwell equations in dispersive media
cites work: Stable and efficient numerical schemes for two-dimensional Maxwell equations in lossy medium
cites work: A higher order nonlocal operator method for solving partial differential equations
cites work: Finite element coupled positive definite deep neural networks mechanics system for constitutive modeling of composites
cites work: Learning viscoelasticity models from indirect data using deep neural networks
cites work: An integrated-RBF technique based on Galerkin formulation for elliptic differential equations
cites work: An efficient indirect RBFN‐based method for numerical solution of PDEs
cites work: Integrated multiquadric radial basis function approximation methods
cites work: Surfaces Generated by Moving Least Squares Methods
cites work: Meshless Galerkin algorithms for boundary integral equations with moving least square approximations
cites work: Error analysis in Sobolev spaces for the improved moving least-square approximation and the improved element-free Galerkin method
cites work: The approximation power of moving least-squares
cites work: Stable integration rules with scattered integration points
cites work: Direct meshless local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation
cites work: On generalized moving least squares and diffuse derivatives
cites work: Error estimates for the moving least-square approximation and the element-free Galerkin method in \(n\)-dimensional spaces
cites work: Direct approximation on spheres using generalized moving least squares
cites work: Error bounds for GMLS derivatives approximations of Sobolev functions
cites work: A moving IRBFN-based integration-free meshless method
cites work: Moving least square–one dimensional integrated radial basis function networks for time dependent problems
cites work: The Numerical Solution of Parabolic and Elliptic Differential Equations
cites work: A new ADI technique for two-dimensional parabolic equation with an integral condition
cites work: The splitting finite-difference time-domain methods for Maxwell's equations in two dimensions
cites work: Q2006528
cites work: The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview
cites work: Temporal localized nonlinear model reduction with a priori error estimate
cites work: Reduced-order adaptive controllers for fluid flows using POD
cites work: Q2202433
cites work: An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
cites work: A combination of proper orthogonal decomposition-discrete empirical interpolation method (POD-DEIM) and meshless local RBF-DQ approach for prevention of groundwater contamination
cites work: The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations
cites work: Q5744755
cites work: A reduced-order finite volume element formulation based on POD method and numerical simulation for two-dimensional solute transport problems
cites work: A reduced finite element formulation based on POD method for two-dimensional solute transport problems
cites work: Proper orthogonal decomposition and modal analysis for acceleration of transient FEM thermal analysis
cites work: Some reduced finite difference schemes based on a proper orthogonal decomposition technique for parabolic equations
cites work: A POD reduced order model for resolving angular direction in neutron/photon transport problems
cites work: A high-order non-conforming discontinuous Galerkin method for time-domain electromagnetics
DOI: 10.1016/J.ENGANABOUND.2022.06.020
label: Simulation of Maxwell equation based on an ADI approach and integrated radial basis function-generalized moving least squares (IRBF-GMLS) method with reduced order algorithm based on proper orthogonal decomposition
description: scientific article; zbMATH DE number 7604164