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  • Solving of large linear system of equations play important part in mathematical modeling using numerical methods such as Finite Element approximation. The case study is the problem of linear elasticity in 3D. A numerical example arising from a domain decomposition method will show the efficiency of iterative solvers for problems with multiple right hand sides. An effect of numerical stabilization of block iterative solvers is presented and discussed as well.
  • Solving of large linear system of equations play important part in mathematical modeling using numerical methods such as Finite Element approximation. The case study is the problem of linear elasticity in 3D. A numerical example arising from a domain decomposition method will show the efficiency of iterative solvers for problems with multiple right hand sides. An effect of numerical stabilization of block iterative solvers is presented and discussed as well. (en)
  • Řešení rozsáhlého systému soustav lineárních rovnic hraje důležitou roli v matematickém modelování užitím numerických metod, např. metody konečných prvků. Zabýváme se modelovým případem lineární elasticity ve 3D. Numerický příklad vzešlý z metody rozložení oblastí ukazuje efektivitu iteračních řešičů pro úlohy s více pravými stranami. Efekt numerické stabilizace blokových iteračních řešičů je prezentován a diskutován. (cs)
Title
  • Case Study of a Domain Decomposition Method for Efficient Structural Analysis
  • Případová studie metody rozložení oblastí pro efektivní strukturální analýzu (cs)
  • Case Study of a Domain Decomposition Method for Efficient Structural Analysis (en)
skos:prefLabel
  • Case Study of a Domain Decomposition Method for Efficient Structural Analysis
  • Případová studie metody rozložení oblastí pro efektivní strukturální analýzu (cs)
  • Case Study of a Domain Decomposition Method for Efficient Structural Analysis (en)
skos:notation
  • RIV/61989100:27600/06:00013944!RIV07-AV0-27600___
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  • 207-219
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  • P(1ET401940412), P(GA101/04/1145)
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  • 467815
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  • RIV/61989100:27600/06:00013944
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  • linear elasticity in 3D; domain decomposition methods; iterative solvers (en)
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  • [0A4F32433882]
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  • Praha
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  • Proceedings of the XVI-th summer school Software and Algorithms of Numerical Mathematics
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  • Kučera, Radek
  • Praks, Pavel
number of pages
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  • Jednota českých matematiků a fyziků
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  • 80-7043-426-0
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  • 27600
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