{"id":30492,"date":"2020-08-27T07:21:07","date_gmt":"2020-08-27T07:21:07","guid":{"rendered":"http:\/\/tugraztestweb.asol.at\/gesamtverzeichnis\/unkategorisiert\/efficient-convolution-quadrature-based-boundary-element-formulation-for-time-domain-elastodynamics-2\/"},"modified":"2020-08-27T09:22:07","modified_gmt":"2020-08-27T07:22:07","slug":"efficient-convolution-quadrature-based-boundary-element-formulation-for-time-domain-elastodynamics-ebook","status":"publish","type":"product","link":"https:\/\/tugraztestweb.asol.at\/en\/gesamtverzeichnis\/bauingenieurwissenschaften\/efficient-convolution-quadrature-based-boundary-element-formulation-for-time-domain-elastodynamics-ebook\/","title":{"rendered":"Efficient Convolution Quadrature based Boundary Element Formulation for Time-Domain Elastodynamics"},"content":{"rendered":"

Sorry, this entry is only available in Deutsch<\/a>.<\/p>

Wave propagation phenomena occur in all fields of science and
\nengineering. Although there are several numerical methods available for
\nthe simulation of these phenomena it turns out that particularly, the
\nBoundary Element Method is well suited for such problems. This volume
\naddresses wave propagation through linear elastic continua – an
\ninteresting problem for civil, mechanical and geotechnical engineers. A
\nmain aim of this work is the development of an efficient and fast
\nBoundary Element formulation with a time discretization based on the
\nConvolution Quadrature Method.A crucial task within this scheme is the
\ncomputation of the convolution weights which are commonly evaluated via
\napproximations of Cauchy\u2019s integral formula. Contrary to that, in this
\nwork closed-form expressions are developed. These expressions return
\nnonzero values solely in a certain range of the argument – the basis for
\n the construction of the efficiency improved formulation. Within this
\nscheme hierarchical matrices are utilized to reduce the densely
\npopulated matrices to sparse ones.Numerical examples cover convergence
\nstudies as well as efficiency measurements in terms of computational
\neffort and storage requirements. In view of the obtained results it
\nturns out that the formulation is capable to significantly reduce the
\nmemory consumption as well as the computational effort. Besides some
\nacademic problems, an additional semi-infinite half space blasting
\nphysics problem is investigated as well.<\/p>","protected":false},"excerpt":{"rendered":"

Sorry, this entry is only available in Deutsch<\/a>.<\/p>\n

Wave propagation phenomena occur in all fields of science and
\nengineering. Although there are several numerical methods available for
\nthe simulation of these phenomena it turns out that particularly, the
\nBoundary Element Method is well suited for such problems. This volume
\naddresses wave propagation through linear elastic continua – an
\ninteresting problem for civil, mechanical and geotechnical engineers. A
\nmain aim of this work is the development of an efficient and fast
\nBoundary Element formulation with a time discretization based on the
\nConvolution Quadrature Method.A crucial task within this scheme is the
\ncomputation of the convolution weights which are commonly evaluated via
\napproximations of Cauchy\u2019s integral formula. Contrary to that, in this
\nwork closed-form expressions are developed. These expressions return
\nnonzero values solely in a certain range of the argument – the basis for
\n the construction of the efficiency improved formulation. Within this
\nscheme hierarchical matrices are utilized to reduce the densely
\npopulated matrices to sparse ones.Numerical examples cover convergence
\nstudies as well as efficiency measurements in terms of computational
\neffort and storage requirements. In view of the obtained results it
\nturns out that the formulation is capable to significantly reduce the
\nmemory consumption as well as the computational effort. Besides some
\nacademic problems, an additional semi-infinite half space blasting
\nphysics problem is investigated as well.<\/p>\n","protected":false},"featured_media":39957,"comment_status":"open","ping_status":"closed","template":"","meta":[],"yoast_head":"\n\n\n\n\n\n\n\n\n\n\t\n\t\n\n\n\t\n