{"id":36252,"date":"2021-09-01T14:30:44","date_gmt":"2021-09-01T18:30:44","guid":{"rendered":"https:\/\/engineering.jhu.edu\/ams\/?post_type=tribe_events&#038;p=36252"},"modified":"2021-12-30T08:50:56","modified_gmt":"2021-12-30T13:50:56","slug":"ams-seminar-w-brittany-hamfeldt-njit-on-zoom","status":"publish","type":"tribe_events","link":"https:\/\/engineering.jhu.edu\/ams\/event\/ams-seminar-w-brittany-hamfeldt-njit-on-zoom\/","title":{"rendered":"AMS Seminar w\/ Brittany Hamfeldt (New Jersey Institute of Technology) on Zoom Only"},"content":{"rendered":"<p><strong>Title:<\/strong> Numerical Optimal Transport on the Sphere<\/p>\n<p><strong>Abstract: <\/strong>The problem of optimal transportation, which involves finding the most cost-efficient mapping between two measures, arises in many different applications.\u00a0 We consider the special case of optimal transport on the sphere, which is of particular importance in the design of optical systems and in mesh generation.\u00a0 This problem can be formulated as a fully nonlinear elliptic partial differential equation on the sphere.\u00a0 However, existing techniques for solving PDEs on surfaces are not well-equipped to handle this challenging equation.\u00a0 We describe a simple approach that reduces this to the problem of discretizing a Monge-Ampere type equation on the plane.\u00a0 We show how existing finite difference methods can be adapted to produce a provably convergent numerical method for optimal transport on the sphere.\u00a0 We conclude with several challenging computational examples, including examples in mesh generation and reflector design.<\/p>\n<p>Here is the new link and meeting ID+passcode:<br \/>\n<a href=\"https:\/\/wse.zoom.us\/j\/91467375713?pwd=VjN3ekZTRFZIWS80NnpwZUFRUzRWUT09\">https:\/\/wse.zoom.us\/j\/91467375713?pwd=VjN3ekZTRFZIWS80NnpwZUFRUzRWUT09<\/a><\/p>\n<p>Meeting ID: 914 6737 5713<br \/>\nPasscode: 272254<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Title: Numerical Optimal Transport on the Sphere Abstract: The problem of optimal transportation, which involves finding the most cost-efficient mapping between two measures, arises in many different applications.\u00a0 We consider&hellip;<\/p>\n","protected":false},"author":64,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_relevanssi_hide_post":"","_relevanssi_hide_content":"","_relevanssi_pin_for_all":"","_relevanssi_pin_keywords":"","_relevanssi_unpin_keywords":"","_relevanssi_related_keywords":"","_relevanssi_related_include_ids":"","_relevanssi_related_exclude_ids":"","_relevanssi_related_no_append":"","_relevanssi_related_not_related":"","_relevanssi_related_posts":"","_relevanssi_noindex_reason":"","_tribe_events_status":"","_tribe_events_status_reason":"","footnotes":""},"tags":[],"tribe_events_cat":[260],"class_list":["post-36252","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-seminars-and-endowed-lectures","cat_seminars-and-endowed-lectures"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>AMS Seminar w\/ Brittany Hamfeldt (New Jersey Institute of Technology) on Zoom Only | Department of Applied Mathematics and Statistics<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/engineering.jhu.edu\/ams\/event\/ams-seminar-w-brittany-hamfeldt-njit-on-zoom\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"AMS Seminar w\/ Brittany Hamfeldt (New Jersey Institute of Technology) on Zoom Only | Department of Applied Mathematics and Statistics\" \/>\n<meta property=\"og:description\" content=\"Title: Numerical Optimal Transport on the Sphere Abstract: The problem of optimal transportation, which involves finding the most cost-efficient mapping between two measures, arises in many different applications.\u00a0 We consider&hellip;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/engineering.jhu.edu\/ams\/event\/ams-seminar-w-brittany-hamfeldt-njit-on-zoom\/\" \/>\n<meta property=\"og:site_name\" content=\"Department of Applied Mathematics and Statistics\" \/>\n<meta property=\"article:modified_time\" content=\"2021-12-30T13:50:56+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"AMS Seminar w\/ Brittany Hamfeldt (New Jersey Institute of Technology) on Zoom Only | Department of Applied Mathematics and Statistics","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/engineering.jhu.edu\/ams\/event\/ams-seminar-w-brittany-hamfeldt-njit-on-zoom\/","og_locale":"en_US","og_type":"article","og_title":"AMS 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