{"id":29,"date":"2026-06-28T01:06:18","date_gmt":"2026-06-28T01:06:18","guid":{"rendered":"https:\/\/chunchiliu.com\/?page_id=29"},"modified":"2026-07-09T08:03:42","modified_gmt":"2026-07-09T08:03:42","slug":"research","status":"publish","type":"page","link":"https:\/\/chunchiliu.com\/cn\/research\/","title":{"rendered":"\u7814\u7a76"},"content":{"rendered":"<div data-elementor-type=\"wp-page\" data-elementor-id=\"29\" class=\"elementor elementor-29\" data-elementor-post-type=\"page\">\n\t\t\t\t<div class=\"elementor-element elementor-element-86d0a46 e-flex e-con-boxed e-con e-parent\" data-id=\"86d0a46\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-4f4cebb e-con-full e-flex e-con e-child\" data-id=\"4f4cebb\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-bb56f0c elementor-widget elementor-widget-heading\" data-id=\"bb56f0c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u7814\u7a76<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-289b1f1 elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"289b1f1\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u5f53\u524d\u4e3b\u9898\u4e0e\u51fa\u7248\u7269<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c762f70 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"c762f70\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5ea498a elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"5ea498a\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">2026<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8b16d8b elementor-widget elementor-widget-text-editor\" data-id=\"8b16d8b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p style=\"padding-left: 40px;\"><strong>Multi-level Monte Carlo ensemble domain decomposition method for the random Stokes-Darcy models with uncertain parameters<\/strong><\/p><p style=\"padding-left: 40px;\"><strong>Chunchi Liu<\/strong>, Yao Rong*, Yizhong Sun*, Jiaping Yu, Haibiao Zheng<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-854fa2e elementor-widget elementor-widget-text-editor\" data-id=\"854fa2e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p style=\"padding-left: 40px;\">Journal of Computational Physics, 556, Article 114800, 2026.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6fd3da6 elementor-widget elementor-widget-button\" data-id=\"6fd3da6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm elementor-animation-grow\" href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0021999126001506\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">DOI<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1656a48 elementor-widget elementor-widget-text-editor\" data-id=\"1656a48\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p style=\"padding-left: 40px;\"><strong>An ensemble domain decomposition method based on the stochastic collocation method for the random Stokes-Darcy models<\/strong><\/p><p style=\"padding-left: 40px;\">Yan Chen, <strong>Chunchi Liu*<\/strong>, and Haibiao Zheng<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7c4862b elementor-widget elementor-widget-text-editor\" data-id=\"7c4862b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p style=\"padding-left: 40px;\">Computer Methods in Applied Mechanics and Engineering, 2026.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-681ccae elementor-widget elementor-widget-button\" data-id=\"681ccae\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm elementor-animation-grow\" href=\"https:\/\/www.sciencedirect.com\/science\/article\/abs\/pii\/S0045782526004482\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">DOI<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-732ce8c elementor-widget elementor-widget-text-editor\" data-id=\"732ce8c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p style=\"padding-left: 40px;\"><strong>A Long-Time Stable Higher-Order Time Discretization Scheme for Stochastic Stokes-Darcy Systems<\/strong><\/p><p style=\"padding-left: 40px;\">Yan Chen, <strong>Chunchi Liu*<\/strong>, and Haibiao Zheng<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-843ef84 elementor-widget elementor-widget-text-editor\" data-id=\"843ef84\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p style=\"padding-left: 40px;\">(Under Review)<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-04e7bc9 elementor-widget elementor-widget-spacer\" data-id=\"04e7bc9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b7dd82e elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"b7dd82e\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">2025<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9cd0bb2 elementor-widget elementor-widget-text-editor\" data-id=\"9cd0bb2\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p style=\"padding-left: 40px;\"><strong>SAV unconditional stable estimate of parallel decoupled stabilized finite element algorithm for the fully mixed Stokes-Darcy problems<\/strong><\/p><p style=\"padding-left: 40px;\"><strong>Chunchi Liu<\/strong>, Yizhong Sun*, and Jiaping Yu<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9d39591 elementor-widget elementor-widget-text-editor\" data-id=\"9d39591\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p style=\"padding-left: 40px;\">Applied Mathematics Letters, 162, Article 109393, 2025.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3b466e7 elementor-widget elementor-widget-button\" data-id=\"3b466e7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm elementor-animation-grow\" href=\"https:\/\/www.sciencedirect.com\/science\/article\/abs\/pii\/S0893965924004130\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">DOI<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>Research Current themes and publications 2026 Multi-level Monte Carlo ensemble domain decomposition method for the random Stokes-Darcy models with uncertain parameters Chunchi Liu, Yao Rong*, Yizhong Sun*, Jiaping Yu, Haibiao Zheng Journal of Computational Physics, 556, Article 114800, 2026. DOI An ensemble domain decomposition method based on the stochastic collocation method for the random Stokes-Darcy [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"elementor_header_footer","meta":{"footnotes":""},"folder":[],"class_list":["post-29","page","type-page","status-publish","hentry"],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"_links":{"self":[{"href":"https:\/\/chunchiliu.com\/cn\/wp-json\/wp\/v2\/pages\/29","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/chunchiliu.com\/cn\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/chunchiliu.com\/cn\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/chunchiliu.com\/cn\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/chunchiliu.com\/cn\/wp-json\/wp\/v2\/comments?post=29"}],"version-history":[{"count":82,"href":"https:\/\/chunchiliu.com\/cn\/wp-json\/wp\/v2\/pages\/29\/revisions"}],"predecessor-version":[{"id":372,"href":"https:\/\/chunchiliu.com\/cn\/wp-json\/wp\/v2\/pages\/29\/revisions\/372"}],"wp:attachment":[{"href":"https:\/\/chunchiliu.com\/cn\/wp-json\/wp\/v2\/media?parent=29"}],"wp:term":[{"taxonomy":"folder","embeddable":true,"href":"https:\/\/chunchiliu.com\/cn\/wp-json\/wp\/v2\/folder?post=29"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}