{"id":30681,"date":"2020-08-21T12:55:07","date_gmt":"2020-08-21T12:55:07","guid":{"rendered":"http:\/\/tugraztestweb.asol.at\/gesamtverzeichnis\/unkategorisiert\/space-time-discontinuous-galerkin-methods-for-cardiac-electromechanics-2\/"},"modified":"2020-08-21T14:56:07","modified_gmt":"2020-08-21T12:56:07","slug":"space-time-discontinuous-galerkin-methods-for-cardiac-electromechanics-ebook","status":"publish","type":"product","link":"https:\/\/tugraztestweb.asol.at\/en\/gesamtverzeichnis\/technische-mathematik-und-technische-physik\/space-time-discontinuous-galerkin-methods-for-cardiac-electromechanics-ebook\/","title":{"rendered":"Space-Time Discontinuous Galerkin Methods for Cardiac Electromechanics"},"content":{"rendered":"

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

According to the World Health Organization heart diseases are one of the
\n top ten causes of death in western society. This is one of the reasons
\nthat the pursuit of knowledge about the human heart has gained more
\nimportance, not only by a desire to understand the mechanical and
\nelectrochemical processes, but also by the increasing clinical
\nimportance. An important technique to establish more knowledge is
\nmodeling. With this, one is able to describe the function of the human
\nheart with sets of time dependent highly nonlinear partial differential
\nequations. Due to its complicated nature, sophisticated solvers are
\nneeded. In this work we will focus on the application of a fairly new
\ntechnique to solve such complex problems.<\/p>\n

A classic way of
\ndiscretizing time dependent problems is to discretize first in space
\nwith finite element techniques and, afterwards, use suitable time
\nstepping methods. In this work we will consider a different approach.
\nInstead of separating space and time we will apply discretization
\ntechniques in both space and time. This allows for rather general almost
\n arbitrary discretizations of space-time geometries. Furthermore, this
\napproach opens the door for space-time parallel solver development.
\nAnother advantage of this space-time discretization is the applicability
\n of adaptive algorithms to resolve physical properties better in space
\nand time simultaneously.<\/p>","protected":false},"excerpt":{"rendered":"

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

According to the World Health Organization heart diseases are one of the
\n top ten causes of death in western society. This is one of the reasons
\nthat the pursuit of knowledge about the human heart has gained more
\nimportance, not only by a desire to understand the mechanical and
\nelectrochemical processes, but also by the increasing clinical
\nimportance. An important technique to establish more knowledge is
\nmodeling. With this, one is able to describe the function of the human
\nheart with sets of time dependent highly nonlinear partial differential
\nequations. Due to its complicated nature, sophisticated solvers are
\nneeded. In this work we will focus on the application of a fairly new
\ntechnique to solve such complex problems.<\/p>\n

A classic way of
\ndiscretizing time dependent problems is to discretize first in space
\nwith finite element techniques and, afterwards, use suitable time
\nstepping methods. In this work we will consider a different approach.
\nInstead of separating space and time we will apply discretization
\ntechniques in both space and time. This allows for rather general almost
\n arbitrary discretizations of space-time geometries. Furthermore, this
\napproach opens the door for space-time parallel solver development.
\nAnother advantage of this space-time discretization is the applicability
\n of adaptive algorithms to resolve physical properties better in space
\nand time simultaneously.<\/p>\n","protected":false},"featured_media":40038,"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