A posteriori error estimator for the eigenvalue problem associated to the Schrödinger operator with magnetic field
type: Item
instance of: scholarly article
title: A posteriori error estimator for the eigenvalue problem associated to the Schrödinger operator with magnetic field
zbMATH Open document ID: 1061.65114
author: Virginie Bonnaillie-Noël
published in: Numerische Mathematik
publication date: 2005-02-08T00:00:00Z
review text: The paper is devoted to the eigenvalue problem associated to the Schrödinger operator with constant magnetic field on a polygonal set in \(\mathbb R^2\). The author proposes an formulation of a a posteriori error estimates without using the dual problem. Obtained an a posteriori error estimate is appropriate to improve numerical computations by using adaptive mesh-refinement techniques. Numerical tests are given.
reviewed by: Karel Najzar
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 78A30
Mathematics Subject Classification ID: 78M25
zbMATH DE Number: 2132461
zbMATH Keywords: a posteriori error estimator
zbMATH Keywords: eigenvalue problem
zbMATH Keywords: Schrödinger operator
zbMATH Keywords: magnetic field
zbMATH Keywords: numerical examples
zbMATH Keywords: adaptive mesh-refinement
MaRDI profile type: Publication
full work available at URL: s00211-004-0556-3
OpenAlex ID: W1601476067
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DOI: 10.1007/S00211-004-0556-3
description: scientific article; zbMATH DE number 2132461