{"id":61107,"date":"2025-02-01T01:07:07","date_gmt":"2025-02-01T01:07:07","guid":{"rendered":"https:\/\/peraltafinancing.com\/animation\/a-mixed-multigrid-method-for-real-time-simulation-of-nonlinear-near-incompressible-elastics-physics-based-animation\/"},"modified":"2025-02-01T01:07:07","modified_gmt":"2025-02-01T01:07:07","slug":"a-mixed-multigrid-method-for-real-time-simulation-of-nonlinear-near-incompressible-elastics-physics-based-animation","status":"publish","type":"post","link":"https:\/\/fivemor.com\/?p=61107","title":{"rendered":"a Mixed Multigrid Method for Real-time Simulation of Nonlinear Near-Incompressible Elastics \u00bb Physics-Based Animation"},"content":{"rendered":"


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Liangwang Ruan , Bin Wang, Tiantian Liu, Baoquan Chen<\/p>\n

We propose MiNNIE, a simple yet comprehensive framework for real-time simulation of nonlinear near-incompressible elastics. To avoid the common volumetric locking issues at high Poisson\u2019s ratios of linear finite element methods (FEM), we build MiNNIE upon a mixed FEM framework and further incorporate a pressure stabilization term to ensure excellent convergence of multigrid solvers. Our pressure stabilization strategy injects bounded influence on nodal displacement which can be eliminated using a quasi-Newton method. MiNNIE has a specially tailored GPU multigrid solver including a modified skinning-space interpolation scheme, a novel vertex Vanka smoother, and an efficient dense solver using Schur complement. MiNNIE supports various elastic material models and simulates them in real-time, supporting a full range of Poisson\u2019s ratios up to 0.5 while handling large deformations, element inversions, and self-collisions at the same time.<\/p>\n

MiNNIE: a Mixed Multigrid Method for Real-time Simulation of Nonlinear Near-Incompressible Elastics<\/a><\/p>\n<\/p><\/div>\n

\n\t\t\tPosted by christopherbatty on December 2nd, 2024<\/a> <\/span>
\n\t\t\t\t\t\tPosted in Uncategorized<\/a><\/span>
\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t<\/div>\n

\t\t\t\t\t\n\t\t<\/div>\n\n","protected":false},"excerpt":{"rendered":"

Liangwang Ruan , Bin Wang, Tiantian Liu, Baoquan Chen We propose MiNNIE, a simple yet comprehensive framework for real-time simulation of nonlinear near-incompressible elastics. To avoid the common volumetric locking issues at high Poisson\u2019s ratios of linear finite element methods (FEM), we build MiNNIE upon a mixed FEM framework and further incorporate a pressure stabilization […]<\/p>\n","protected":false},"author":1,"featured_media":4302,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12035],"tags":[6119,33896,15798,1972,33893,33895,33894,18075,13815,6283],"dealstore":[],"offerexpiration":[],"class_list":["post-61107","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-animation","tag-animation","tag-elastics","tag-method","tag-mixed","tag-multigrid","tag-nearincompressible","tag-nonlinear","tag-physicsbased","tag-realtime","tag-simulation"],"yoast_head":"\na Mixed Multigrid Method for Real-time Simulation of Nonlinear Near-Incompressible Elastics \u00bb Physics-Based Animation - Som2ny Network<\/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:\/\/fivemor.com\/?p=61107\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"a Mixed Multigrid Method for Real-time Simulation of Nonlinear Near-Incompressible Elastics \u00bb Physics-Based Animation - Som2ny Network\" \/>\n<meta property=\"og:description\" content=\"Liangwang Ruan , Bin Wang, Tiantian Liu, Baoquan Chen We propose MiNNIE, a simple yet comprehensive framework for real-time simulation of nonlinear near-incompressible elastics. To avoid the common volumetric locking issues at high Poisson\u2019s ratios of linear finite element methods (FEM), we build MiNNIE upon a mixed FEM framework and further incorporate a pressure stabilization […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/fivemor.com\/?p=61107\" \/>\n<meta property=\"og:site_name\" content=\"Som2ny Network\" \/>\n<meta property=\"article:published_time\" content=\"2025-02-01T01:07:07+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/fivemor.com\/wp-content\/uploads\/2025\/01\/blank.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"200\" \/>\n\t<meta property=\"og:image:height\" content=\"200\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"admin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/fivemor.com\/?p=61107#article\",\"isPartOf\":{\"@id\":\"https:\/\/fivemor.com\/?p=61107\"},\"author\":{\"name\":\"admin\",\"@id\":\"https:\/\/fivemor.com\/#\/schema\/person\/b85e3c3dc0e1daea076524dc8810c371\"},\"headline\":\"a Mixed Multigrid Method for Real-time Simulation of Nonlinear Near-Incompressible Elastics \u00bb Physics-Based Animation\",\"datePublished\":\"2025-02-01T01:07:07+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/fivemor.com\/?p=61107\"},\"wordCount\":177,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/fivemor.com\/#organization\"},\"image\":{\"@id\":\"https:\/\/fivemor.com\/?p=61107#primaryimage\"},\"thumbnailUrl\":\"https:\/\/fivemor.com\/wp-content\/uploads\/2025\/01\/blank.jpg\",\"keywords\":[\"Animation\",\"Elastics\",\"Method\",\"Mixed\",\"Multigrid\",\"NearIncompressible\",\"Nonlinear\",\"PhysicsBased\",\"realtime\",\"Simulation\"],\"articleSection\":[\"Animation\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/fivemor.com\/?p=61107#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/fivemor.com\/?p=61107\",\"url\":\"https:\/\/fivemor.com\/?p=61107\",\"name\":\"a Mixed Multigrid Method for Real-time Simulation of Nonlinear Near-Incompressible Elastics \u00bb Physics-Based Animation - 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