Dirichlet energy

en

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Dirichlet energy

Quality:

Dirichlet's energy - half of the integral of the squared gradient of a function on its domain. Article “Dirichlet energy” in English Wikipedia has 6.8 points for quality (as of July 1, 2025). The article contains 0 references and 4 sections.

This article has the best quality in French Wikipedia. However, this article is the most popular in English version.

Since the creation of article “Dirichlet energy”, its content was written by 26 registered users of English Wikipedia and edited by 52 registered Wikipedia users in all languages.

The article is cited 26 times in English Wikipedia and cited 49 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #78803 in April 2017
  • Global: #195580 in June 2013

The highest popularity rank from 2008:

  • Local (English): #712360 in May 2025
  • Global: #1052646 in May 2025

There are 7 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1French (fr)
Énergie de Dirichlet
17.9238
2Arabic (ar)
طاقة دركليه
7.7048
3English (en)
Dirichlet energy
6.8378
4Spanish (es)
Energía de Dirichlet
5.0536
5Dutch (nl)
Dirichlet-energie
4.043
6Italian (it)
Energia di Dirichlet
3.029
7Japanese (ja)
ディリクレエネルギー
3.0104
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Dirichlet energy" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Dirichlet energy
113 251
2Spanish (es)
Energía de Dirichlet
4 964
3Japanese (ja)
ディリクレエネルギー
4 860
4Italian (it)
Energia di Dirichlet
2 715
5French (fr)
Énergie de Dirichlet
1 897
6Arabic (ar)
طاقة دركليه
992
7Dutch (nl)
Dirichlet-energie
842
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Dirichlet energy" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Dirichlet energy
1 060
2Japanese (ja)
ディリクレエネルギー
50
3French (fr)
Énergie de Dirichlet
31
4Italian (it)
Energia di Dirichlet
25
5Spanish (es)
Energía de Dirichlet
19
6Arabic (ar)
طاقة دركليه
12
7Dutch (nl)
Dirichlet-energie
5
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Dirichlet energy" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Dirichlet energy
26
2Spanish (es)
Energía de Dirichlet
7
3Arabic (ar)
طاقة دركليه
6
4Italian (it)
Energia di Dirichlet
6
5French (fr)
Énergie de Dirichlet
3
6Japanese (ja)
ディリクレエネルギー
2
7Dutch (nl)
Dirichlet-energie
2
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Dirichlet energy" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Arabic (ar)
طاقة دركليه
0
2English (en)
Dirichlet energy
0
3Spanish (es)
Energía de Dirichlet
0
4French (fr)
Énergie de Dirichlet
0
5Italian (it)
Energia di Dirichlet
0
6Japanese (ja)
ディリクレエネルギー
0
7Dutch (nl)
Dirichlet-energie
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Dirichlet energy" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Dirichlet energy
26
2French (fr)
Énergie de Dirichlet
8
3Japanese (ja)
ディリクレエネルギー
5
4Spanish (es)
Energía de Dirichlet
4
5Arabic (ar)
طاقة دركليه
2
6Italian (it)
Energia di Dirichlet
2
7Dutch (nl)
Dirichlet-energie
2
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
طاقة دركليه
enEnglish
Dirichlet energy
esSpanish
Energía de Dirichlet
frFrench
Énergie de Dirichlet
itItalian
Energia di Dirichlet
jaJapanese
ディリクレエネルギー
nlDutch
Dirichlet-energie

Popularity rank trends

Best Rank English:
#712360
05.2025
Global:
#1052646
05.2025

AI rank trends

Best Rank English:
#78803
04.2017
Global:
#195580
06.2013

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Dirichlet's energy from Wikipedia articles about Laplace operator, Dirichlets principle, Harmonic map, Minimal surface and Dirichlet integral. Whereas reading the article about Dirichlet's energy people most often go to Wikipedia articles on Dirichlets principle, Sobolev space, Laplaces equation, Sigma model and Dirichlet eigenvalue.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 15 February 2026

On 15 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Wuthering Heights, 2026 Winter Olympics, Epstein files, Ilia Malinin, Wuthering Heights, Ghislaine Maxwell, Lucas Pinheiro Braathen, 2026 Winter Olympics medal table, Valentine's Day.

In English Wikipedia the most popular articles on that day were: Jeffrey Epstein, Wuthering Heights, Wuthering Heights (2026 film), 2026 Winter Olympics, Lucas Pinheiro Braathen, Ice hockey at the 2026 Winter Olympics – Men's tournament, Epstein files, John F. Kennedy Jr., Anthony Kim, James Van Der Beek.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information