Wavelet and finite element solutions for the Neumann problem using fictitious domains
type: Item
instance of: scholarly article
title: Wavelet and finite element solutions for the Neumann problem using fictitious domains
zbMATH Open document ID: 0852.65098
author: Tsorng-Whay Pan
author: Raymond O. jun. Wells
author: Roland Glowinski
author: Xiao-Dong Zhou
published in: Journal of Computational Physics
publication date: 1996-12-05T00:00:00Z
review text: This paper considers the Neumann problem in 2 dimensions as a classical test case for any elliptic solver. The method used is a fictitious domain method where the actual domain is embedded in a \(D\)-dimensional box. With this scheme periodic boundary conditions are used in the fictitious domain, for which standard methods exist. Some theoretical error analysis and numerical examples are given.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 896661
zbMATH Keywords: wavelets
zbMATH Keywords: Neumann problem
zbMATH Keywords: fictitious domain method
zbMATH Keywords: periodic boundary conditions
zbMATH Keywords: error analysis
zbMATH Keywords: numerical examples
reviewed by: Brian L. Burrows
MaRDI profile type: Publication
OpenAlex ID: W2083097852
DOI: 10.1006/JCPH.1996.0118
description: scientific article; zbMATH DE number 896661