A time- and spaceadaptive algorithm for the linear time-dependent Schrödinger equation
type: Item
instance of: scholarly article
title: A time- and spaceadaptive algorithm for the linear time-dependent Schrödinger equation
zbMATH Open document ID: 0860.65097
published in: Numerische Mathematik
publication date: 1997-04-14T00:00:00Z
review text: The linear evolution Schrödinger equation with a time-dependent possibly discontinuous potential on the whole \(n\)-dimensional space is dealt with a finite element based algorithm, which is mesh-adaptive. The mesh control is carried on with the help of a posteriori error estimates. These estimates also show how the computational domain must be enlarged or shrunk as the calculations go on. Some numerical tests carried out for the one-dimensional case are exhibited.
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 35K15
zbMATH DE Number: 932023
zbMATH Keywords: numerical examples
zbMATH Keywords: mesh adaptive algorithm
zbMATH Keywords: finite element method
zbMATH Keywords: linear evolution Schrödinger equation
zbMATH Keywords: error estimates
author: Willy Dörfler
MaRDI profile type: Publication
full work available at URL: s002110050199
OpenAlex ID: W2088552913
DOI: 10.1007/S002110050199
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description: scientific article; zbMATH DE number 932023