Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2018-12

AUTHORS

Adérito Araújo, Sílvia Barbeiro, Maryam Khaksar Ghalati

ABSTRACT

We propose an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials and derive its convergence properties. The a priori error estimates are illustrated by numerical means in some experiments. Motivated by a real application which encompasses modeling electromagnetic wave’s propagation through the eye’s structures, we simulate our model in a 2D domain aiming to represent a simple example of light scattering in the outer nuclear layer of the retina. More... »

PAGES

9

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1186/s13362-018-0051-6

DOI

http://dx.doi.org/10.1186/s13362-018-0051-6

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1107133841


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0912", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Materials Engineering", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/09", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Engineering", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "University of Coimbra", 
          "id": "https://www.grid.ac/institutes/grid.8051.c", 
          "name": [
            "CMUC, Department of Mathematics, University of Coimbra, Coimbra, Portugal"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Ara\u00fajo", 
        "givenName": "Ad\u00e9rito", 
        "id": "sg:person.01047475653.97", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01047475653.97"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of Coimbra", 
          "id": "https://www.grid.ac/institutes/grid.8051.c", 
          "name": [
            "CMUC, Department of Mathematics, University of Coimbra, Coimbra, Portugal"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Barbeiro", 
        "givenName": "S\u00edlvia", 
        "id": "sg:person.01115611053.15", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01115611053.15"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Instituto Polit\u00e9cnico de Leiria", 
          "id": "https://www.grid.ac/institutes/grid.36895.31", 
          "name": [
            "Centre for Rapid and Sustainable Product Development, Polytechnic Institute of Leiria, Marinha Grande, Portugal"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Khaksar Ghalati", 
        "givenName": "Maryam", 
        "id": "sg:person.016077232202.33", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016077232202.33"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1117/1.3207141", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1011142015"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1117/1.3207141", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1011142015"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.cma.2012.02.016", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1022732689"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.photonics.2010.04.001", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1023078431"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.2147/opth.s73119", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037206802"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.2337/diacare.26.9.2653", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1040313931"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.cam.2010.04.028", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1040756360"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-642-27410-7_7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046169671", 
          "https://doi.org/10.1007/978-3-642-27410-7_7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://app.dimensions.ai/details/publication/pub.1049859861", 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-0-387-72067-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049859861", 
          "https://doi.org/10.1007/978-0-387-72067-8"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-0-387-72067-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049859861", 
          "https://doi.org/10.1007/978-0-387-72067-8"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1051/m2an:2005049", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1057033163"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1051/m2an:2005049", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1057033163"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1364/josab.20.001542", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1065170795"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/embc.2015.7320285", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1079206883"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.4208/cicp.oa-2016-0110", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1084456046"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/bhi.2014.6864466", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1094678732"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/1.9780898717440", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1098557440"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2018-12", 
    "datePublishedReg": "2018-12-01", 
    "description": "We propose an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell\u2019s equations in anisotropic materials and derive its convergence properties. The a priori error estimates are illustrated by numerical means in some experiments. Motivated by a real application which encompasses modeling electromagnetic wave\u2019s propagation through the eye\u2019s structures, we simulate our model in a 2D domain aiming to represent a simple example of light scattering in the outer nuclear layer of the retina.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1186/s13362-018-0051-6", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1136389", 
        "issn": [
          "2190-5983"
        ], 
        "name": "Journal of Mathematics in Industry", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "1", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "8"
      }
    ], 
    "name": "Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell\u2019s equations in anisotropic materials", 
    "pagination": "9", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "2f97f24a6955217fb45e19101ea8dd2a43c4713508f73c3a4f3e44b297b5d7e4"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1186/s13362-018-0051-6"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1107133841"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1186/s13362-018-0051-6", 
      "https://app.dimensions.ai/details/publication/pub.1107133841"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-10T18:33", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8675_00000605.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1186%2Fs13362-018-0051-6"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1186/s13362-018-0051-6'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1186/s13362-018-0051-6'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1186/s13362-018-0051-6'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1186/s13362-018-0051-6'


 

This table displays all metadata directly associated to this object as RDF triples.

123 TRIPLES      21 PREDICATES      42 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1186/s13362-018-0051-6 schema:about anzsrc-for:09
2 anzsrc-for:0912
3 schema:author Nbca023e90edb4206af78c14eeb7b1889
4 schema:citation sg:pub.10.1007/978-0-387-72067-8
5 sg:pub.10.1007/978-3-642-27410-7_7
6 https://app.dimensions.ai/details/publication/pub.1049859861
7 https://doi.org/10.1016/j.cam.2010.04.028
8 https://doi.org/10.1016/j.cma.2012.02.016
9 https://doi.org/10.1016/j.photonics.2010.04.001
10 https://doi.org/10.1051/m2an:2005049
11 https://doi.org/10.1109/bhi.2014.6864466
12 https://doi.org/10.1109/embc.2015.7320285
13 https://doi.org/10.1117/1.3207141
14 https://doi.org/10.1137/1.9780898717440
15 https://doi.org/10.1364/josab.20.001542
16 https://doi.org/10.2147/opth.s73119
17 https://doi.org/10.2337/diacare.26.9.2653
18 https://doi.org/10.4208/cicp.oa-2016-0110
19 schema:datePublished 2018-12
20 schema:datePublishedReg 2018-12-01
21 schema:description We propose an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials and derive its convergence properties. The a priori error estimates are illustrated by numerical means in some experiments. Motivated by a real application which encompasses modeling electromagnetic wave’s propagation through the eye’s structures, we simulate our model in a 2D domain aiming to represent a simple example of light scattering in the outer nuclear layer of the retina.
22 schema:genre research_article
23 schema:inLanguage en
24 schema:isAccessibleForFree true
25 schema:isPartOf N49880768d5cd465fb9fcb0774e439648
26 N5200a88fdacd4d4eac2992dc56aa3681
27 sg:journal.1136389
28 schema:name Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials
29 schema:pagination 9
30 schema:productId N375a7a2044804ca499a870d6d1e1f66b
31 N5abb44e72db440bd9f4a3fc94b2569ef
32 N8d2bc24747c14e54ab08612fd7cbd5d8
33 schema:sameAs https://app.dimensions.ai/details/publication/pub.1107133841
34 https://doi.org/10.1186/s13362-018-0051-6
35 schema:sdDatePublished 2019-04-10T18:33
36 schema:sdLicense https://scigraph.springernature.com/explorer/license/
37 schema:sdPublisher Naeee181c832f41eca743d1ae367b6c97
38 schema:url http://link.springer.com/10.1186%2Fs13362-018-0051-6
39 sgo:license sg:explorer/license/
40 sgo:sdDataset articles
41 rdf:type schema:ScholarlyArticle
42 N34d232170de84afb92f81a37c090719a rdf:first sg:person.01115611053.15
43 rdf:rest Ncae1c6b0b4cb471b8751b317f719eae2
44 N375a7a2044804ca499a870d6d1e1f66b schema:name doi
45 schema:value 10.1186/s13362-018-0051-6
46 rdf:type schema:PropertyValue
47 N49880768d5cd465fb9fcb0774e439648 schema:issueNumber 1
48 rdf:type schema:PublicationIssue
49 N5200a88fdacd4d4eac2992dc56aa3681 schema:volumeNumber 8
50 rdf:type schema:PublicationVolume
51 N5abb44e72db440bd9f4a3fc94b2569ef schema:name readcube_id
52 schema:value 2f97f24a6955217fb45e19101ea8dd2a43c4713508f73c3a4f3e44b297b5d7e4
53 rdf:type schema:PropertyValue
54 N8d2bc24747c14e54ab08612fd7cbd5d8 schema:name dimensions_id
55 schema:value pub.1107133841
56 rdf:type schema:PropertyValue
57 Naeee181c832f41eca743d1ae367b6c97 schema:name Springer Nature - SN SciGraph project
58 rdf:type schema:Organization
59 Nbca023e90edb4206af78c14eeb7b1889 rdf:first sg:person.01047475653.97
60 rdf:rest N34d232170de84afb92f81a37c090719a
61 Ncae1c6b0b4cb471b8751b317f719eae2 rdf:first sg:person.016077232202.33
62 rdf:rest rdf:nil
63 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
64 schema:name Engineering
65 rdf:type schema:DefinedTerm
66 anzsrc-for:0912 schema:inDefinedTermSet anzsrc-for:
67 schema:name Materials Engineering
68 rdf:type schema:DefinedTerm
69 sg:journal.1136389 schema:issn 2190-5983
70 schema:name Journal of Mathematics in Industry
71 rdf:type schema:Periodical
72 sg:person.01047475653.97 schema:affiliation https://www.grid.ac/institutes/grid.8051.c
73 schema:familyName Araújo
74 schema:givenName Adérito
75 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01047475653.97
76 rdf:type schema:Person
77 sg:person.01115611053.15 schema:affiliation https://www.grid.ac/institutes/grid.8051.c
78 schema:familyName Barbeiro
79 schema:givenName Sílvia
80 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01115611053.15
81 rdf:type schema:Person
82 sg:person.016077232202.33 schema:affiliation https://www.grid.ac/institutes/grid.36895.31
83 schema:familyName Khaksar Ghalati
84 schema:givenName Maryam
85 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016077232202.33
86 rdf:type schema:Person
87 sg:pub.10.1007/978-0-387-72067-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049859861
88 https://doi.org/10.1007/978-0-387-72067-8
89 rdf:type schema:CreativeWork
90 sg:pub.10.1007/978-3-642-27410-7_7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046169671
91 https://doi.org/10.1007/978-3-642-27410-7_7
92 rdf:type schema:CreativeWork
93 https://app.dimensions.ai/details/publication/pub.1049859861 schema:CreativeWork
94 https://doi.org/10.1016/j.cam.2010.04.028 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040756360
95 rdf:type schema:CreativeWork
96 https://doi.org/10.1016/j.cma.2012.02.016 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022732689
97 rdf:type schema:CreativeWork
98 https://doi.org/10.1016/j.photonics.2010.04.001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023078431
99 rdf:type schema:CreativeWork
100 https://doi.org/10.1051/m2an:2005049 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057033163
101 rdf:type schema:CreativeWork
102 https://doi.org/10.1109/bhi.2014.6864466 schema:sameAs https://app.dimensions.ai/details/publication/pub.1094678732
103 rdf:type schema:CreativeWork
104 https://doi.org/10.1109/embc.2015.7320285 schema:sameAs https://app.dimensions.ai/details/publication/pub.1079206883
105 rdf:type schema:CreativeWork
106 https://doi.org/10.1117/1.3207141 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011142015
107 rdf:type schema:CreativeWork
108 https://doi.org/10.1137/1.9780898717440 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098557440
109 rdf:type schema:CreativeWork
110 https://doi.org/10.1364/josab.20.001542 schema:sameAs https://app.dimensions.ai/details/publication/pub.1065170795
111 rdf:type schema:CreativeWork
112 https://doi.org/10.2147/opth.s73119 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037206802
113 rdf:type schema:CreativeWork
114 https://doi.org/10.2337/diacare.26.9.2653 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040313931
115 rdf:type schema:CreativeWork
116 https://doi.org/10.4208/cicp.oa-2016-0110 schema:sameAs https://app.dimensions.ai/details/publication/pub.1084456046
117 rdf:type schema:CreativeWork
118 https://www.grid.ac/institutes/grid.36895.31 schema:alternateName Instituto Politécnico de Leiria
119 schema:name Centre for Rapid and Sustainable Product Development, Polytechnic Institute of Leiria, Marinha Grande, Portugal
120 rdf:type schema:Organization
121 https://www.grid.ac/institutes/grid.8051.c schema:alternateName University of Coimbra
122 schema:name CMUC, Department of Mathematics, University of Coimbra, Coimbra, Portugal
123 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...