{"id":1920,"date":"2026-05-20T14:36:35","date_gmt":"2026-05-20T12:36:35","guid":{"rendered":"https:\/\/www.hsu-hh.de\/hpccp\/?p=1920"},"modified":"2026-05-20T14:38:26","modified_gmt":"2026-05-20T12:38:26","slug":"matrix-free-gpu-based-fem-simulations-in-nonlinear-optics","status":"publish","type":"post","link":"https:\/\/www.hsu-hh.de\/hpccp\/matrix-free-gpu-based-fem-simulations-in-nonlinear-optics\/","title":{"rendered":"Matrix-Free &amp; GPU Based FEM Simulations In Nonlinear Optics"},"content":{"rendered":"\n<p><em>Salah Eddine Zaidi (<abbr title=\"Helmut Schmidt Universit\u00e4t\">HSU<\/abbr>\/UniBw H) &amp; <abbr title=\"Professor\">Prof.<\/abbr> <abbr title=\"Doktor\">Dr.<\/abbr> Markus Bause (<abbr title=\"Helmut Schmidt Universit\u00e4t\">HSU<\/abbr>\/UniBw H)<\/em><\/p>\n\n\n\n<p>The efficient and reliable simulation of electromagnetic wave propagation is desirable for elucidation of physics and design optimization in nonlinear optics. A combination of explicit finite difference schemes and finite element methods are used for the temporal and spatial approximation of nonlinear wave equations modeling such phenomena. Terahertz generation, as an example of a nonlinear optical processes, requires very small time and spatial step sizes to resolve the complex physics. In simulations, this leads to wall-clock times in the order of magnitude of weeks. <em>Matrix-free<\/em> implementations, that reduce memory access by directly computing all the numerical quantities, have recently attracted researchers\u2019 interest and led to redesign of software platforms. For optimal scaling and performance properties, these approaches demand for modern GPU based high performance computing architectures.<\/p>\n\n\n\n<p>The deal.II finite element library (https:\/\/dealii.org), that is used for finite element method implementations and simulations, offers an interface to matrix-free operations.&nbsp; Moreover, GPU integration becomes feasible via the Kokkos library (https:\/\/kokkos.org). The project aims at porting the available deal.II CPU-based simulation tool for nonlinear optics to GPU hardware architectures that are available at <abbr title=\"Helmut Schmidt Universit\u00e4t\">HSU<\/abbr>\/UniBw H. In particular, NVIDIA B200, NVIDIA A100 and NVIDIA H200&nbsp;GPU architectures are focused. Further, the feasibility of using the Cerebras GPU system will be analyzed.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Salah Eddine Zaidi (HSU\/UniBw H) &amp; Prof. Dr. Markus Bause (HSU\/UniBw H) The efficient and reliable simulation of electromagnetic wave propagation is desirable for elucidation of physics and design optimization [&hellip;]<\/p>\n","protected":false},"author":3033,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_EventAllDay":false,"_EventTimezone":"","_EventStartDate":"","_EventEndDate":"","_EventStartDateUTC":"","_EventEndDateUTC":"","_EventShowMap":false,"_EventShowMapLink":false,"_EventURL":"","_EventCost":"","_EventCostDescription":"","_EventCurrencySymbol":"","_EventCurrencyCode":"","_EventCurrencyPosition":"","_EventDateTimeSeparator":"","_EventTimeRangeSeparator":"","_EventOrganizerID":[],"_EventVenueID":[],"_OrganizerEmail":"","_OrganizerPhone":"","_OrganizerWebsite":"","_VenueAddress":"","_VenueCity":"","_VenueCountry":"","_VenueProvince":"","_VenueState":"","_VenueZip":"","_VenuePhone":"","_VenueURL":"","_VenueStateProvince":"","_VenueLat":"","_VenueLng":"","_VenueShowMap":false,"_VenueShowMapLink":false,"footnotes":""},"categories":[57,50,192],"tags":[],"class_list":["post-1920","post","type-post","status-publish","format-standard","hentry","category-pe-calls","category-pep","category-supported-projects-2026"],"_links":{"self":[{"href":"https:\/\/www.hsu-hh.de\/hpccp\/wp-json\/wp\/v2\/posts\/1920","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.hsu-hh.de\/hpccp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.hsu-hh.de\/hpccp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.hsu-hh.de\/hpccp\/wp-json\/wp\/v2\/users\/3033"}],"replies":[{"embeddable":true,"href":"https:\/\/www.hsu-hh.de\/hpccp\/wp-json\/wp\/v2\/comments?post=1920"}],"version-history":[{"count":2,"href":"https:\/\/www.hsu-hh.de\/hpccp\/wp-json\/wp\/v2\/posts\/1920\/revisions"}],"predecessor-version":[{"id":1922,"href":"https:\/\/www.hsu-hh.de\/hpccp\/wp-json\/wp\/v2\/posts\/1920\/revisions\/1922"}],"wp:attachment":[{"href":"https:\/\/www.hsu-hh.de\/hpccp\/wp-json\/wp\/v2\/media?parent=1920"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.hsu-hh.de\/hpccp\/wp-json\/wp\/v2\/categories?post=1920"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.hsu-hh.de\/hpccp\/wp-json\/wp\/v2\/tags?post=1920"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}