2007
DOI: 10.1016/j.compstruc.2007.01.006
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Application of Lagrange multipliers for coupled problems in fluid and structural interactions

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Cited by 25 publications
(21 citation statements)
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“…Strong discretization mismatch will result in unphysical load peaks, which can be alleviated by a locally more accurate approach, where the §uid shape functions are used for the Lagrange multiplier leading to an approach comparable to the Mortar-technique (see [12]). For this transfer approach, an inversion of the sparse and positive de¦nite matrix is necessary.…”
Section: Nonconforming Spacial Discretization At the Interfacementioning
confidence: 99%
See 1 more Smart Citation
“…Strong discretization mismatch will result in unphysical load peaks, which can be alleviated by a locally more accurate approach, where the §uid shape functions are used for the Lagrange multiplier leading to an approach comparable to the Mortar-technique (see [12]). For this transfer approach, an inversion of the sparse and positive de¦nite matrix is necessary.…”
Section: Nonconforming Spacial Discretization At the Interfacementioning
confidence: 99%
“…In systems with a large number of degrees of freedom, this decomposition is computational expensive. DualLagrange multipliers can be constructed depending on the §uid shape functions, which lead to a diagonalized matrix making the inversion process trivial [12].…”
Section: Nonconforming Spacial Discretization At the Interfacementioning
confidence: 99%
“…In the last years and motivated by different industries such as aeronautics, naval or more recently biomedical sciences, there have been new advances in development and use of computational methods for fluid-structure interactions in order to reach more effective computational techniques [43][44][45][46][47][48] and solving more difficult problems. As an example of the increasing interest on solving industrial fluid-structure problems the works of Petitpas et al [49] or Lecysyn et al [22,23] can be mentioned, in which a ballistic impact on an industrial tank, filled with a toxic fluid, is studied.…”
Section: Introductionmentioning
confidence: 99%
“…In the last few years, there have been new advances in development and use of computational methods for fluid-structure interactions due to the interest of reach more effective computational techniques [5,42,46,20,41,25] and solve more difficult problems motivated by different industries, such as aeronautics, naval or more recently biomedical sciences.…”
Section: Introductionmentioning
confidence: 99%