{"id":38,"date":"2014-07-02T13:58:45","date_gmt":"2014-07-02T13:58:45","guid":{"rendered":"http:\/\/blogs.uakron.edu\/tsukerman\/?page_id=38"},"modified":"2022-07-26T12:06:21","modified_gmt":"2022-07-26T12:06:21","slug":"research","status":"publish","type":"page","link":"https:\/\/blogs.uakron.edu\/tsukerman\/research\/","title":{"rendered":"Research"},"content":{"rendered":"<p><a href=\"http:\/\/blogs.uakron.edu\/tsukerman\/wp-content\/uploads\/sites\/1090\/2014\/07\/obj117geo71pg4p5.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-94 size-full\" src=\"http:\/\/blogs.uakron.edu\/tsukerman\/wp-content\/uploads\/sites\/1090\/2014\/07\/obj117geo71pg4p5.png\" alt=\"obj117geo71pg4p5\" width=\"361\" height=\"45\" srcset=\"https:\/\/blogs.uakron.edu\/tsukerman\/wp-content\/uploads\/sites\/1090\/2014\/07\/obj117geo71pg4p5.png 361w, https:\/\/blogs.uakron.edu\/tsukerman\/wp-content\/uploads\/sites\/1090\/2014\/07\/obj117geo71pg4p5.png?resize=300,37 300w\" sizes=\"auto, (max-width: 361px) 100vw, 361px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #800000\"><strong><a href=\"http:\/\/blogs.uakron.edu\/tsukerman\/wp-content\/uploads\/sites\/1090\/2014\/07\/obj44geo40pg4p5.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-82 size-full\" src=\"http:\/\/blogs.uakron.edu\/tsukerman\/wp-content\/uploads\/sites\/1090\/2014\/07\/obj44geo40pg4p5.png\" alt=\"obj44geo40pg4p5\" width=\"202\" height=\"146\" \/><\/a>Computer simulation of nanoscale and molecular-scale systems<\/strong><\/span><\/p>\n<ul>\n<li>Metamaterials. Non-asymptotic and nonlocal effective medium theory. Backward waves and negative refraction.<\/li>\n<li>Wave propagation in complex media.<\/li>\n<li>Nano-optics: plasmonic field enhancement.<\/li>\n<li>Topological photonics<\/li>\n<li>Magnetic assembly of micro- and nanoparticles.<\/li>\n<li>Long-range electrostatic interactions in heterogeneous media and electrolytes.<\/li>\n<\/ul>\n<p><span style=\"color: #800000\"><strong>Computational methods<a href=\"http:\/\/blogs.uakron.edu\/tsukerman\/wp-content\/uploads\/sites\/1090\/2014\/07\/obj118geo74pg4p5.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignright size-full wp-image-86\" src=\"http:\/\/blogs.uakron.edu\/tsukerman\/wp-content\/uploads\/sites\/1090\/2014\/07\/obj118geo74pg4p5.png\" alt=\"obj118geo74pg4p5\" width=\"204\" height=\"207\" \/><\/a><\/strong><\/span><\/p>\n<ul>\n<li>Flexible Local Approximation MEthods (FLAME), a new finite difference calculus. Schemes for wave propagation and scattering: Cartesian grids without &#8216;staircase&#8217; effects.<\/li>\n<li>Absorbing boundary conditions for wave problems.<\/li>\n<li>Singularity-free boundary difference methods.<\/li>\n<li>Applied Finite Element Analysis, Multigrid Methods and Generalized FEM.<\/li>\n<li>Overlapping finite elements for problems with movement (electric machines, nondestructive testing).<\/li>\n<li>Finite Element Theory: <em>a priori<\/em> error estimates.<\/li>\n<li>Formulations of electromagnetic problems.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #800000\"><strong>Collaborators<\/strong><\/span><br \/>\n<a href=\"http:\/\/www.seas.upenn.edu\/directory\/profile.php?ID=168\" target=\"_blank\" rel=\"noopener\">Vadim Markel, UPenn<\/a><br \/>\n<a href=\"https:\/\/www.asc.tuwien.ac.at\/~schoeberl\/wiki\/index.php\/Karl_Hollaus\">Karl Hollaus<\/a> and Markus Sch\u00f6binger, TU-Wien<br \/>\n<a href=\"http:\/\/www.eee.hku.hk\/people\/ljiang.html\" target=\"_blank\" rel=\"noopener\">Lijun Jiang, Hong Kong University<\/a><br \/>\n<a href=\"http:\/\/www.sam.math.ethz.ch\/~hiptmair\/\" target=\"_blank\" rel=\"noopener\">Ralf Hiptmair, ETH Z\u00fcrich<\/a><br \/>\n<a href=\"http:\/\/l2ep.univ-lille1.fr\/index.php?page=annuaire&amp;c1=51&amp;c=002\" target=\"_blank\" rel=\"noopener\">St\u00e9phane Clenet, ENSAM, Lille, France<\/a><br \/>\n<a href=\"http:\/\/www.saschaschnepp.net\/\" target=\"_blank\" rel=\"noopener\">Sascha Schnepp, ETH Z\u00fcrich &amp; TU-Darmstadt<\/a><br \/>\n<a href=\"http:\/\/www.sdu.dk\/staff\/seib.aspx\" target=\"_blank\" rel=\"noopener\">Sergey Bozhevolnyi, University of Southern Denmark<\/a><br \/>\n<span style=\"color: #000000\"><a style=\"color: #000000\" href=\"http:\/\/www.phy-astr.gsu.edu\/stockman\/\" target=\"_blank\" rel=\"noopener\">Mark Stockman, Georgia State <\/a> <\/span><span style=\"color: #800000\"><br \/>\n<a href=\"https:\/\/www.nature.com\/articles\/s41566-021-00799-7\"><span style=\"color: #993300\">Mark succumbed to cancer <span style=\"color: #993366\">in<\/span> 2020<\/span><\/a>. He was really special and full of character. A big loss to everyone who knew him, and to the whole optics\/photonics\/plasmonics community.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; Computer simulation of nanoscale and molecular-scale systems Metamaterials. Non-asymptotic and nonlocal effective medium theory. Backward waves and negative refraction. Wave propagation in complex media. Nano-optics: plasmonic field enhancement. Topological photonics Magnetic assembly of micro- and nanoparticles. Long-range electrostatic interactions &hellip; <a href=\"https:\/\/blogs.uakron.edu\/tsukerman\/research\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":23,"featured_media":0,"parent":0,"menu_order":3,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-38","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/blogs.uakron.edu\/tsukerman\/wp-json\/wp\/v2\/pages\/38","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.uakron.edu\/tsukerman\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.uakron.edu\/tsukerman\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.uakron.edu\/tsukerman\/wp-json\/wp\/v2\/users\/23"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.uakron.edu\/tsukerman\/wp-json\/wp\/v2\/comments?post=38"}],"version-history":[{"count":17,"href":"https:\/\/blogs.uakron.edu\/tsukerman\/wp-json\/wp\/v2\/pages\/38\/revisions"}],"predecessor-version":[{"id":1005,"href":"https:\/\/blogs.uakron.edu\/tsukerman\/wp-json\/wp\/v2\/pages\/38\/revisions\/1005"}],"wp:attachment":[{"href":"https:\/\/blogs.uakron.edu\/tsukerman\/wp-json\/wp\/v2\/media?parent=38"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}