TY - JOUR
T1 - Multilevel Non-Conforming Finite Element Methods for Coupled Fluid-Structure Interactions
AU - E. AULISA, S. GARCIA, E. SWIM, AND P. SESHAIYER
JO - International Journal of Numerical Analysis Modeling Series B
VL - 3
SP - 307
EP - 319
PY - 2012
DA - 2012/03
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnamb/286.html
KW - finite element methods
KW - fluid-structure interaction
KW - Arbitrary Lagrangian-Eulerian formulation
KW - non-conforming
KW - multilevel
AB - Computational mathematics is constantly evolving to develop novel techniques for solving coupled processes that arise in multi-disciplinary applications. Often such analysis may
be accomplished by efficient techniques which involve partitioning the global domain (on which
the coupled process evolves) into several sub-domains on each of which local problems are solved.
The solution to the global problem is then constructed by suitably piecing together solutions
obtained locally from independently modeled sub-domains. In this paper we develop a multilevel
computational approach for coupled fluid-structure interaction problems. The method relies on
computing coupled solutions over different sub-domains with different multigrid levels. Numerical
results for the reliability of the schemes introduced are also presented.