{"id":30116,"date":"2020-08-21T12:54:18","date_gmt":"2020-08-21T12:54:18","guid":{"rendered":"http:\/\/tugraztestweb.asol.at\/gesamtverzeichnis\/unkategorisiert\/analysis-of-boundary-element-methods-for-wave-propagation-in-porous-media\/"},"modified":"2020-08-21T14:55:18","modified_gmt":"2020-08-21T12:55:18","slug":"analysis-of-boundary-element-methods-for-wave-propagation-in-porous-media","status":"publish","type":"product","link":"https:\/\/tugraztestweb.asol.at\/en\/gesamtverzeichnis\/technische-mathematik-und-technische-physik\/analysis-of-boundary-element-methods-for-wave-propagation-in-porous-media\/","title":{"rendered":"Analysis of Boundary Element Methods for Wave Propagation in Porous Media"},"content":{"rendered":"<p class=\"qtranxs-available-languages-message qtranxs-available-languages-message-en\">Sorry, this entry is only available in <a href=\"https:\/\/tugraztestweb.asol.at\/de\/wp-json\/wp\/v2\/product\/30116\" class=\"qtranxs-available-language-link qtranxs-available-language-link-de\" title=\"Deutsch\">Deutsch<\/a>.<\/p><p>The aim of this work is to analyze a convolution quadrature boundary element approach to simulate wave propagation in porous media. In Laplace domain the model results in an elliptic second order partial differential equation. First, boundary value problems of interest are described and equivalent boundary integral formulations are derived. Unique solvability of all discussed boundary value problems and boundary integral equations is discussed, first in Laplace domain and fi nally also in time domain. A Galerkin discretization in space and a convolution quadrature discretization in time is applied. Unique solvability of the discrete systems and convergence of the approximate solutions are discussed. Finally, the theoretical results are confirmed by numerical experiments.<\/p>","protected":false},"excerpt":{"rendered":"<p class=\"qtranxs-available-languages-message qtranxs-available-languages-message-en\">Sorry, this entry is only available in <a href=\"https:\/\/tugraztestweb.asol.at\/de\/wp-json\/wp\/v2\/product\/30116\" class=\"qtranxs-available-language-link qtranxs-available-language-link-de\" title=\"Deutsch\">Deutsch<\/a>.<\/p>\n<p>The aim of this work is to analyze a convolution quadrature boundary element approach to simulate wave propagation in porous media. In Laplace domain the model results in an elliptic second order partial differential equation. First, boundary value problems of interest are described and equivalent boundary integral formulations are derived. Unique solvability of all discussed boundary value problems and boundary integral equations is discussed, first in Laplace domain and fi nally also in time domain. A Galerkin discretization in space and a convolution quadrature discretization in time is applied. Unique solvability of the discrete systems and convergence of the approximate solutions are discussed. Finally, the theoretical results are confirmed by numerical experiments.<\/p>\n","protected":false},"featured_media":39782,"comment_status":"open","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v16.1.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<link rel=\"canonical\" href=\"https:\/\/tugraztestweb.asol.at\/gesamtverzeichnis\/technische-mathematik-und-technische-physik\/analysis-of-boundary-element-methods-for-wave-propagation-in-porous-media\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Analysis of Boundary Element Methods for Wave Propagation in Porous Media - Verlag der TU Graz\" \/>\n<meta property=\"og:description\" content=\"The aim of this work is to analyze a convolution quadrature boundary element approach to simulate wave propagation in porous media. In Laplace domain the model results in an elliptic second order partial differential equation. First, boundary value problems of interest are described and equivalent boundary integral formulations are derived. Unique solvability of all discussed boundary value problems and boundary integral equations is discussed, first in Laplace domain and fi nally also in time domain. A Galerkin discretization in space and a convolution quadrature discretization in time is applied. Unique solvability of the discrete systems and convergence of the approximate solutions are discussed. Finally, the theoretical results are confirmed by numerical experiments.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/tugraztestweb.asol.at\/gesamtverzeichnis\/technische-mathematik-und-technische-physik\/analysis-of-boundary-element-methods-for-wave-propagation-in-porous-media\/\" \/>\n<meta property=\"og:site_name\" content=\"Verlag der TU Graz\" \/>\n<meta property=\"article:modified_time\" content=\"2020-08-21T12:55:18+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/tugraztestweb.asol.at\/wp-content\/uploads\/2020\/08\/image-978-3-85125-216-3.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"460\" \/>\n\t<meta property=\"og:image:height\" content=\"678\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\">\n\t<meta name=\"twitter:data1\" content=\"1 minute\">\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebSite\",\"@id\":\"https:\/\/tugraztestweb.asol.at\/#website\",\"url\":\"https:\/\/tugraztestweb.asol.at\/\",\"name\":\"Verlag der TU Graz\",\"description\":\"Verlag der Technischen Universit\\u00e4t Graz\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":\"https:\/\/tugraztestweb.asol.at\/?s={search_term_string}\",\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/tugraztestweb.asol.at\/gesamtverzeichnis\/technische-mathematik-und-technische-physik\/analysis-of-boundary-element-methods-for-wave-propagation-in-porous-media\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/tugraztestweb.asol.at\/wp-content\/uploads\/2020\/08\/image-978-3-85125-216-3.jpg\",\"contentUrl\":\"https:\/\/tugraztestweb.asol.at\/wp-content\/uploads\/2020\/08\/image-978-3-85125-216-3.jpg\",\"width\":460,\"height\":678},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/tugraztestweb.asol.at\/gesamtverzeichnis\/technische-mathematik-und-technische-physik\/analysis-of-boundary-element-methods-for-wave-propagation-in-porous-media\/#webpage\",\"url\":\"https:\/\/tugraztestweb.asol.at\/gesamtverzeichnis\/technische-mathematik-und-technische-physik\/analysis-of-boundary-element-methods-for-wave-propagation-in-porous-media\/\",\"name\":\"Analysis of Boundary Element Methods for Wave Propagation in Porous Media - 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