{"id":13578,"date":"2021-06-30T16:15:12","date_gmt":"2021-06-30T13:15:12","guid":{"rendered":"https:\/\/umram.bilkent.edu.tr\/index.php\/2021\/06\/30\/cok-olcekli-elektromanyetik-problemlerin-genis-bantli-analizi-potansiyel-integral-denklemleri-icin-yeni-eksik-yaprakli-mlfma\/"},"modified":"2026-11-04T10:59:02","modified_gmt":"2026-11-04T07:59:02","slug":"cok-olcekli-elektromanyetik-problemlerin-genis-bantli-analizi-potansiyel-integral-denklemleri-icin-yeni-eksik-yaprakli-mlfma","status":"publish","type":"post","link":"https:\/\/umram.bilkent.edu.tr\/index.php\/tr\/2021\/06\/30\/cok-olcekli-elektromanyetik-problemlerin-genis-bantli-analizi-potansiyel-integral-denklemleri-icin-yeni-eksik-yaprakli-mlfma\/","title":{"rendered":"\u00c7ok \u00f6l\u00e7ekli elektromanyetik problemlerin geni\u015f bantl\u0131 analizi: Potansiyel integral denklemleri i\u00e7in yeni eksik yaprakl\u0131 MLFMA"},"content":{"rendered":"

Dr. Manouchehr Takrimi<\/a>‘nin hesaplamal\u0131 elektromanyetik \u00fczerine \u00e7al\u0131\u015fmas\u0131 IEEE Transactions on Antennas and Propagation<\/em> dergisinde yay\u0131mlanm\u0131\u015ft\u0131r.<\/strong><\/p>\n

\u00c7al\u0131\u015fmada eksik a\u011fa\u00e7 yap\u0131lar\u0131, potansiyel integral denklemlerinin (PIE) \u00e7\u00f6z\u00fcm\u00fc i\u00e7in karma bi\u00e7imli \u00e7ok d\u00fczeyli h\u0131zl\u0131 \u00e7okkutup algoritmas\u0131yla (MLFMA) birlikte kullan\u0131lmakta ve \u00e7ok \u00f6l\u00e7ekli a\u00e7\u0131k ve kapal\u0131 y\u00fczeylerden elektromanyetik sa\u00e7\u0131lma ve \u0131\u015f\u0131man\u0131n do\u011fru ve verimli bi\u00e7imde analiz edilmesini sa\u011flayan bir algoritma elde edilmektedir. Algoritma n\u00fcfus tabanl\u0131d\u0131r ve \u00e7o\u011funlukla \u00e7ok de\u011fi\u015fken ayr\u0131kla\u015ft\u0131rmalarla modellenen \u00e7ok \u00f6l\u00e7ekli geometriler i\u00e7in d\u00fczg\u00fcn olmayan k\u00fcmeleme kullanmaktad\u0131r. Algoritma, 2016<\/a> y\u0131l\u0131nda yay\u0131mlanan y\u00fczey integral denklemlerine (SIE) dayal\u0131 ilk s\u00fcr\u00fcm\u00fcnden ve 2017<\/a> y\u0131l\u0131nda yay\u0131mlanan hacim integral denklemleri (VIE) s\u00fcr\u00fcm\u00fcnden \u00f6nemli \u00f6l\u00e7\u00fcde farkl\u0131la\u015ft\u0131r\u0131lm\u0131\u015ft\u0131r. Budanm\u0131\u015f kutular eklenerek ve kutudan kutuya, yak\u0131n alan ve uzak alan etkile\u015fimleri yeniden d\u00fczenlenerek PIE’lerle birlikte kullan\u0131m i\u00e7in gerekli altyap\u0131 sa\u011flanm\u0131\u015ft\u0131r. Kanonik ve ger\u00e7ek \u00e7ok \u00f6l\u00e7ekli geometrilerin sa\u00e7\u0131lma ve \u0131\u015f\u0131ma analizlerinden elde edilen say\u0131sal sonu\u00e7lar algoritman\u0131n \u00fcst\u00fcnl\u00fc\u011f\u00fcn\u00fc a\u00e7\u0131k\u00e7a g\u00f6stermektedir. Hatan\u0131n denetlenebildi\u011fi algoritma do\u011fru olup \u00e7al\u0131\u015fma s\u00fcresi ve \u00f6zellikle bellek gereksinimi a\u00e7\u0131s\u0131ndan \u00e7ok verimlidir ve bellekte bir b\u00fcy\u00fckl\u00fck mertebesinden fazla tasarruf sa\u011flayabilmektedir.<\/p>\n\n

Makaleye buradan<\/a> eri\u015filebilir.<\/p>\n\n

\u00d6zet: Manyetik alan integral denklemi i\u00e7in k\u0131sa s\u00fcre \u00f6nce tan\u0131t\u0131lan eksik a\u011fa\u00e7 yap\u0131lar\u0131 de\u011fi\u015ftirilmi\u015f ve karma bi\u00e7imli MLFMA ile birlikte kullan\u0131larak, \u00e7ok \u00f6l\u00e7ekli a\u00e7\u0131k ve kapal\u0131 y\u00fczeylerden sa\u00e7\u0131lma ve \u0131\u015f\u0131ma i\u00e7in potansiyel integral denklemlerinin \u00e7\u00f6z\u00fcm\u00fcne y\u00f6nelik yeni bir geni\u015f bantl\u0131 eksik yaprakl\u0131 MLFMA (IL-MLFMA) geli\u015ftirilmi\u015ftir. N\u00fcfus tabanl\u0131 bu algoritma, derin d\u00fczeylerin gerekti\u011finde do\u011fruluktan \u00f6d\u00fcn vermeden g\u00fcvenle kullan\u0131lmas\u0131n\u0131 sa\u011flayan d\u00fczg\u00fcn olmayan bir k\u00fcmeleme kullanmaktad\u0131r. B\u00f6ylece hata denetlenebilir kal\u0131rken verimlilik artmakta ve bellek gereksinimi b\u00fcy\u00fckl\u00fck mertebeleriyle azalmaktad\u0131r. Algoritman\u0131n \u00fcst\u00fcnl\u00fc\u011f\u00fc \u00e7e\u015fitli kanonik ve ger\u00e7ek \u00e7ok \u00f6l\u00e7ekli geometrilerde g\u00f6sterilmi\u015ftir.<\/p>\n","protected":false},"excerpt":{"rendered":"

Dr. Manouchehr Takrimi‘nin hesaplamal\u0131 elektromanyetik \u00fczerine \u00e7al\u0131\u015fmas\u0131 IEEE Transactions on Antennas and Propagation dergisinde yay\u0131mlanm\u0131\u015ft\u0131r. \u00c7al\u0131\u015fmada eksik a\u011fa\u00e7 yap\u0131lar\u0131, potansiyel integral denklemlerinin (PIE) \u00e7\u00f6z\u00fcm\u00fc i\u00e7in karma bi\u00e7imli \u00e7ok d\u00fczeyli h\u0131zl\u0131 \u00e7okkutup algoritmas\u0131yla (MLFMA) birlikte kullan\u0131lmakta ve \u00e7ok \u00f6l\u00e7ekli a\u00e7\u0131k ve kapal\u0131 y\u00fczeylerden elektromanyetik sa\u00e7\u0131lma ve \u0131\u015f\u0131man\u0131n do\u011fru ve verimli bi\u00e7imde analiz edilmesini sa\u011flayan bir algoritma\u2026<\/p>\n","protected":false},"author":9,"featured_media":11694,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[445],"tags":[],"class_list":["post-13578","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-duyurular"],"_links":{"self":[{"href":"https:\/\/umram.bilkent.edu.tr\/index.php\/wp-json\/wp\/v2\/posts\/13578","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/umram.bilkent.edu.tr\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/umram.bilkent.edu.tr\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/umram.bilkent.edu.tr\/index.php\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/umram.bilkent.edu.tr\/index.php\/wp-json\/wp\/v2\/comments?post=13578"}],"version-history":[{"count":1,"href":"https:\/\/umram.bilkent.edu.tr\/index.php\/wp-json\/wp\/v2\/posts\/13578\/revisions"}],"predecessor-version":[{"id":13579,"href":"https:\/\/umram.bilkent.edu.tr\/index.php\/wp-json\/wp\/v2\/posts\/13578\/revisions\/13579"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/umram.bilkent.edu.tr\/index.php\/wp-json\/wp\/v2\/media\/11694"}],"wp:attachment":[{"href":"https:\/\/umram.bilkent.edu.tr\/index.php\/wp-json\/wp\/v2\/media?parent=13578"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/umram.bilkent.edu.tr\/index.php\/wp-json\/wp\/v2\/categories?post=13578"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/umram.bilkent.edu.tr\/index.php\/wp-json\/wp\/v2\/tags?post=13578"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}