Fluid-structure interaction problems arise in many application
fields such as flows around elastic structures or blood flow
problems in arteries. One method for solving such a problem is
based on a reduction to an equation at the interface, involving the
so-called Steklov-Poincare operators. This interface equation is
solved by a Newton iteration for which directional derivatives with
respect to the interface perturbation have to be evaluated
appropriately. One step of the Newton iteration requires the
solution of several decoupled linear sub-problems in the structure
and the fluid domains. These sub-problems are spatially discretized
by a finite element method on hybrid meshes containing different
types of elements. For the time discretization implicit first order
methods are used. The discretized equations are solved by algebraic
multigrid methods for which a stabilized coarsening hierarchy is
constructed in a proper way.
General
| Imprint: |
Lap Lambert Academic Publishing
|
| Country of origin: |
Germany |
| Release date: |
June 2010 |
| First published: |
June 2010 |
| Authors: |
Huidong Yang
|
| Dimensions: |
229 x 152 x 7mm (L x W x T) |
| Format: |
Paperback - Trade
|
| Pages: |
124 |
| ISBN-13: |
978-3-8383-7366-9 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
| LSN: |
3-8383-7366-9 |
| Barcode: |
9783838373669 |
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