Finite Element Method for a Nonlinear Perfectly Matched Layer Helmholtz Equation with High Wave Number
type: Item
instance of: scholarly article
title: Finite Element Method for a Nonlinear Perfectly Matched Layer Helmholtz Equation with High Wave Number
zbMATH Open document ID: 1502.65204
DOI: 10.1137/21M1459381
author: Run Jiang
author: Yonglin Li
author: Haijun Wu
author: Jun Zou
published in: SIAM Journal on Numerical Analysis
publication date: 2022-10-27T00:00:00Z
full work available at URL: https://arxiv.org/abs/2207.04685
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 78A40
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 78A60
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
zbMATH DE Number: 7608226
zbMATH Keywords: nonlinear Helmholtz equation
zbMATH Keywords: Kerr medium
zbMATH Keywords: high wave number
zbMATH Keywords: perfectly matched layer
zbMATH Keywords: Newton's method
zbMATH Keywords: finite element method
zbMATH Keywords: preasymptotic error estimates
zbMATH Keywords: convergence
MaRDI profile type: Publication
arXiv ID: 2207.04685
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describes a project that uses: Digital Library of Mathematical Functions
description: scientific article; zbMATH DE number 7608226