{"id":37002,"date":"1999-02-01T16:48:34","date_gmt":"1999-02-01T16:48:34","guid":{"rendered":"https:\/\/silvaco.com\/%e6%9c%aa%e5%88%86%e7%b1%bb\/new-fast-numerical-algorithm-for-diffusion-modeling-implemented-in-athena-version-5-0\/"},"modified":"2026-10-15T14:42:17","modified_gmt":"2026-10-15T21:42:17","slug":"new-fast-numerical-algorithm-for-diffusion-modeling-implemented-in-athena-version-5-0","status":"publish","type":"post","link":"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/new-fast-numerical-algorithm-for-diffusion-modeling-implemented-in-athena-version-5-0\/","title":{"rendered":"New, Fast Numerical Algorithm for Diffusion Modeling Implemented in ATHENA Version 5.0"},"content":{"rendered":"<h1>New, Fast Numerical Algorithm for Diffusion Modeling Implemented in ATHENA Version 5.0<\/h1>\n<p class=\"feature\">Fast Diffusion Module<\/p>\n<p>A new diffusion algorithm based on a Galerkin method with linear finite elements, an extremely fast sparse matrix solver, and object oriented physical modeling is one of the new features implemented in\u00a0<i><b>ATHENA<\/b><\/i>\u00a0version 5.0. This module is an alternative to the existing code, thus providing the user with a choice between using the old diffusion module and the new algorithms.<\/p>\n<p>The Implicit Linear Finite Element Method (ILFEM) module is available for diffusion and oxidation steps. Switching between the two modules is done using a method statement in the input file, giving the user a flexible choice between numerics for each individual diffusion run.<\/p>\n<p><img loading=\"lazy\" width=\"1296\" height=\"1669\" src=\"https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_feb_1999_a1.jpg\" class=\"cleaned-enfold-image\" alt=\"\" decoding=\"async\" loading=\"lazy\" srcset=\"https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_feb_1999_a1.jpg 1296w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_feb_1999_a1-233x300.jpg 233w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_feb_1999_a1-800x1030.jpg 800w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_feb_1999_a1-768x989.jpg 768w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_feb_1999_a1-1193x1536.jpg 1193w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_feb_1999_a1-1165x1500.jpg 1165w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_feb_1999_a1-547x705.jpg 547w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_feb_1999_a1-29x37.jpg 29w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_feb_1999_a1-43x55.jpg 43w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_feb_1999_a1-37x48.jpg 37w\" sizes=\"auto, (max-width: 1296px) 100vw, 1296px\" \/><\/p>\n<p><a href=\"https:\/\/silvaco.com\/dynamicweb\/jsp\/downloads\/DownloadDocStepsAction.do?req=download&#038;nm=simstd_feb_1999_a1.pdf\" class=\"BGT-btn\" target=\"_blank\" rel=\"noopener noreferrer\">Download Simulation Standard<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A new diffusion algorithm based on a Galerkin method with linear finite elements, an extremely fast sparse matrix solver, and object oriented physical modeling is one of the new features implemented in\u00a0ATHENA\u00a0version 5.0. This module is an alternative to the existing code, thus providing the user with a choice between using the old diffusion module and the new algorithms.<\/p>\n","protected":false},"author":12,"featured_media":21730,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[7723],"tags":[],"class_list":["post-37002","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-simulation-standard-zh-hans","entry","has-media"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v28.7 (Yoast SEO v28.7) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>New, Fast Numerical Algorithm for Diffusion Modeling Implemented in ATHENA Version 5.0 - Silvaco<\/title>\n<meta name=\"description\" content=\"A new diffusion algorithm based on a Galerkin method with linear finite elements, an extremely fast sparse matrix solver, and object oriented\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/new-fast-numerical-algorithm-for-diffusion-modeling-implemented-in-athena-version-5-0\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"New, Fast Numerical Algorithm for Diffusion Modeling Implemented in ATHENA Version 5.0\" \/>\n<meta property=\"og:description\" content=\"A new diffusion algorithm based on a Galerkin method with linear finite elements, an extremely fast sparse matrix solver, and object oriented\" \/>\n<meta property=\"og:url\" content=\"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/new-fast-numerical-algorithm-for-diffusion-modeling-implemented-in-athena-version-5-0\/\" \/>\n<meta property=\"og:site_name\" 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