local extrapolation
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STABILIZED DISCONTINUOUS GALERKIN METHODS FOR FLOW–SOUND INTERACTION

2007 ◽  
Vol 15 (01) ◽  
pp. 123-143 ◽  
Author(s):  
ANDREAS RICHTER ◽  
JÖRG STILLER ◽  
ROGER GRUNDMANN
Keyword(s):  
Wave Propagation ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Methods ◽  
Musical Instruments ◽  
Galerkin Methods ◽  
Numerical Tests ◽  
Characteristic Boundary ◽  
Boundary Treatment ◽  
Classical Characteristic ◽  
Local Extrapolation

The wave propagation in musical instruments is considered. A high-order discontinuous Galerkin method for solving the Euler equations is presented, and an alternative concept for supplying local non-reflecting boundary conditions is introduced. This concept is based on local extrapolation in conjunction with a stabilizing slope limiting. The practicability of this method is discussed via numerical tests, and the results are compared with classical characteristic boundary treatment. Investigations of wave propagation phenomena in musical instruments like the bassoon are performed, and the results are presented.

Deblurring by a local extrapolation scheme

1999 ◽  
Vol 15 (5) ◽  
pp. 1263-1281 ◽  
Author(s):  
Henning Braunisch ◽  
Tarek M Habashy
Keyword(s):  
Extrapolation Scheme ◽  
Local Extrapolation

On the error control in ODE solvers with local extrapolation

Computing ◽  
1981 ◽  
Vol 27 (2) ◽  
pp. 169-177 ◽  
Author(s):  
H. J. Stetter ◽  
E. Weinmüller
Keyword(s):  
Error Control ◽  
Local Extrapolation
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