{ "144886-21896094": { "datetime_modified":"20260201T180421", "datetime_start":"20260204T160000", "datetime_end":"20260204T170000", "has_end_time":1, "date_start":"2026-02-04", "date_end":"2026-02-04", "time_start":"16:00:00", "time_end":"17:00:00", "time_zone":"America\/Detroit", "event_title":"Student AIM Seminar: Fundamental solutions for Stokes flow in the half space", "occurrence_title":"", "combined_title":"Student AIM Seminar: Fundamental solutions for Stokes flow in the half space: Choco Li", "event_subtitle":"Choco Li", "event_type":"Workshop \/ Seminar", "event_type_id":"21", "description":"Boundary integral equations (BIE) are widely used for simulating systems in viscous or small scale fluids modeled by the Stokes equation. Often, systems of interest live in confined and\/or periodic geometries, such as the transport of cells in the blood vessel or bacterial suspensions near a stationary wall. The study of these systems benefit from the dimension reduction of the BIE methods, but computation costs need to be reduced further due to the multiscale behaviors and large degrees of freedom. The free-space fundamental solution is often used in the BIE formulation, but having a fundamental solution that satisfies more boundary conditions means less computation during the BIE solve. \n\nIn this talk I will present the fundamental solution for the 3D half-space, where a stationary wall is set at z=0 with no-slip boundary conditions [1]. I will then present an alternative formulation by [2] that is individually net-force-free for periodization. These formulations use the free-space fundamental solutions of Stokes and Laplace equations and their derivatives, and are therefore easily implemented and optimized due to the many free-space fast algorithms available, including FMM. \n\n[1] Z. Gimbutas, L. Greengard, S. Veerapaneni, Simple and efficient representations for the fundamental solutions of Stokes flow in a half-space, J. Comput. Mech., 776, 2015\n[2] W. Yan, M. Shelley, Universal image systems for non-periodic and periodic Stokes flows above a no-slip wall, J. Comput. Phy., 375:263-270, 2018", "occurrence_notes":null, "guid":"144886-21896094@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/144886", "building_id":"1000166", "building_name":"East Hall", "campus_maps_id":"53", "room":"3088", "location_name":"East Hall", "has_livestream":0, "cost":"", "tags":["Applied Mathematics"], "website":"", "sponsors":[ { "group_name":"Student AIM Seminar - Department of Mathematics", "group_id":"4902", "website":"" }, { "group_name":"Department of Mathematics", "group_id":"3791", "website":"" } ], "image_url":"", "styled_images":{ "event_thumb":"", "event_large":"", "event_large_2x":"", "event_large_lightbox":"", "group_thumb":"", "group_thumb_square":"", "group_large":"", "group_large_lightbox":"", "event_large_crop":"", "event_list":"", "event_list_2x":"", "event_grid":"", "event_grid_2x":"", "event_feature_large":"", "event_feature_thumb":"" }, "occurrence_count":1, "first_occurrence":21896094 } , "143802-21894056": { "datetime_modified":"20260324T085405", "datetime_start":"20260204T160000", "datetime_end":"20260204T170000", "has_end_time":1, "date_start":"2026-02-04", "date_end":"2026-02-04", "time_start":"16:00:00", "time_end":"17:00:00", "time_zone":"America\/Detroit", "event_title":"Unpacking the News with U-M Faculty Experts", "occurrence_title":"", "combined_title":"Unpacking the News with U-M Faculty Experts: Join U-M Faculty experts to discuss what's happening now", "event_subtitle":"Join U-M Faculty experts to discuss what's happening now", "event_type":"Meeting", "event_type_id":"14", "description":"Each session offers a space to pause, sort out what\u2019s happening, and engage in thoughtful, civil discussion with peers. Bring your questions, your curiosity, and your perspective\u2014no preparation required.\n\nJosh Pasek is Professor of Communication & Media and Political Science, Faculty Associate at the Center for Political Studies, Institute for Social Research, and Associate Director of the Michigan Institute for Data Science at the University of Michigan.", "occurrence_notes":null, "guid":"143802-21894056@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/143802", "building_id":"1000191", "building_name":"Michigan League", "campus_maps_id":"108", "room":"Room 4", "location_name":"Michigan League", "has_livestream":0, "cost":"", "tags":["Civic Engagement","Civic Learning","Culture","Education","Free","In Person","Media","Politics","Social Impact","Talk","Undergraduate"], "website":"https:\/\/democracy.umich.edu\/", "sponsors":[ { "group_name":"Democracy & Civic Empowerment", "group_id":"5335", "website":"https:\/\/democracy.umich.edu\/" } ], "image_url":"https:\/\/events.umich.edu\/media\/attachments\/2026\/03\/event_143802_original-1.png", "styled_images":{ "event_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_thumb\/media\/attachments\/2026\/03\/event_143802_original-1.png", "event_large":"https:\/\/events.umich.edu\/media\/cache\/event_large\/media\/attachments\/2026\/03\/event_143802_original-1.png", "event_large_2x":"https:\/\/events.umich.edu\/media\/cache\/event_large_2x\/media\/attachments\/2026\/03\/event_143802_original-1.png", "event_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/event_large_lightbox\/media\/attachments\/2026\/03\/event_143802_original-1.png", "group_thumb":"https:\/\/events.umich.edu\/media\/cache\/group_thumb\/media\/attachments\/2026\/03\/event_143802_original-1.png", "group_thumb_square":"https:\/\/events.umich.edu\/media\/cache\/group_thumb_square\/media\/attachments\/2026\/03\/event_143802_original-1.png", "group_large":"https:\/\/events.umich.edu\/media\/cache\/group_large\/media\/attachments\/2026\/03\/event_143802_original-1.png", "group_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/group_large_lightbox\/media\/attachments\/2026\/03\/event_143802_original-1.png", "event_large_crop":"https:\/\/events.umich.edu\/media\/cache\/event_large_crop\/media\/attachments\/2026\/03\/event_143802_original-1.png", "event_list":"https:\/\/events.umich.edu\/media\/cache\/event_list\/media\/attachments\/2026\/03\/event_143802_original-1.png", "event_list_2x":"https:\/\/events.umich.edu\/media\/cache\/event_list_2x\/media\/attachments\/2026\/03\/event_143802_original-1.png", "event_grid":"https:\/\/events.umich.edu\/media\/cache\/event_grid\/media\/attachments\/2026\/03\/event_143802_original-1.png", "event_grid_2x":"https:\/\/events.umich.edu\/media\/cache\/event_grid_2x\/media\/attachments\/2026\/03\/event_143802_original-1.png", "event_feature_large":"https:\/\/events.umich.edu\/media\/cache\/event_feature_large\/media\/attachments\/2026\/03\/event_143802_original-1.png", "event_feature_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_feature_thumb\/media\/attachments\/2026\/03\/event_143802_original-1.png" }, "occurrence_count":13, "first_occurrence":21894053 } }