Mesh generation and numerical analysis of a Galerkin method for highly conductive prefractal layers
type: Item
instance of: scholarly article
title: Mesh generation and numerical analysis of a Galerkin method for highly conductive prefractal layers
zbMATH Open document ID: 1261.65125
author: Patrizia Bagnerini
author: Annalisa Buffa
author: Elisa Vacca
published in: Applied Numerical Mathematics
publication date: 2013-02-21T00:00:00Z
review text: The authors provide a piecewise linear Galerkin approximation of a second order transmission problem across a highly conductive prefractal layer of von Koch type. An appropriate mesh adapted to the geometric shape of the interface is firstly generated and then a refinement algorithm consistent with a suitable estimate in appropriate weighted Sobolev spaces is constructed. A quasi-optimal error estimate in the energy norm is also obtained. Some numerical tests are presented to demonstrate the validity of the theory.
reviewed by: Abdallah Bradji
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 6138082
zbMATH Keywords: highly conductive prefractal layers
zbMATH Keywords: Galerkin method
zbMATH Keywords: Mesh generation
zbMATH Keywords: numerical examples
zbMATH Keywords: finite element methods
zbMATH Keywords: transmission problems
zbMATH Keywords: von Koch curve
zbMATH Keywords: a priori error estimate
zbMATH Keywords: adaptive mesh refinement
zbMATH Keywords: algorithm
Wikidata QID: Q58841801
MaRDI profile type: Publication
full work available at URL: j.apnum.2012.10.004
OpenAlex ID: W2037659199
DOI: 10.1016/J.APNUM.2012.10.004
description: scientific article; zbMATH DE number 6138082