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A fictitious domain/distributed Lagrange multiplier based fluid–structure interaction scheme with hierarchical B-Spline grids (2015)
Journal Article
Kadapa, C., Dettmer, W., & Perić, D. (2016). A fictitious domain/distributed Lagrange multiplier based fluid–structure interaction scheme with hierarchical B-Spline grids. Computer Methods in Applied Mechanics and Engineering, 301, 1-27. https://doi.org/10.1016/j.cma.2015.12.023

We present a numerical scheme for fluid–structure interaction based on hierarchical B-Spline grids and fictitious domain/distributed Lagrange multipliers. The incompressible Navier–Stokes equations are solved over a Cartesian grid discretised with B-... Read More about A fictitious domain/distributed Lagrange multiplier based fluid–structure interaction scheme with hierarchical B-Spline grids.

NURBS based least-squares finite element methods for fluid and solid mechanics (2015)
Journal Article
Kadapa, C., Dettmer, W., & Perić, D. (2015). NURBS based least-squares finite element methods for fluid and solid mechanics. International Journal for Numerical Methods in Engineering, 101(7), 521-539. https://doi.org/10.1002/nme.4765

This contribution investigates the performance of a least-squares finite element method based on non-uniform rational B-splines (NURBS) basis functions. The least-squares functional is formulated directly in terms of the strong form of the governing... Read More about NURBS based least-squares finite element methods for fluid and solid mechanics.