A posteriori error estimation in finite 718 element anaysis, Comput. Methods in Appl, vol.717, p.716, 1997. ,
, Mech. Eng, vol.142, pp.1-88
Multifrontal par-722 allel distributed symmetric and unsymmetric 723 solvers, Comput. Methods in Appl. Mech. Eng, vol.724, pp.501-520, 2000. ,
726 "Error Estimates for the combined h and p ver-727 sions of the finite element method, 1981. ,
, Math, vol.37, pp.257-277
Input impedance 730 curves for the brass instruments, The Journal 731 of the Acoustical Society of America, vol.60, issue.2, p.480, 1976. ,
, , p.734, 2017.
Time-735 Domain numerical modeling of brass instruments 736 including nonlinear wave propagation, viscother-737 mal losses, and lips vibration, Acta Acust 738 united Ac, vol.103, issue.1, pp.117-131, 2017. ,
Direct simulation 740 of reed wind instruments, Computer Music 741 Journal, vol.33, issue.4, pp.43-55, 2009. ,
Finite difference time domain simula-744 tion for the brass instrument bore, J. Acoust, p.743, 2013. ,
, Soc. Am, vol.134, issue.5, pp.3860-3871
Bore opti-747 misation and impedance modelling of brass musi-748 cal instruments, 2007. ,
, , p.751, 2009.
Trombone 752 bore optimization based on input impedance tar-753 gets, J. Acoust. Soc. Am, vol.125, issue.4, pp.2404-2412, 2009. ,
Functional analy-755 sis, Sobolev spaces and partial differential equa-756 tions, 2011. ,
, , p.758, 2017.
Developing and evaluating a hybrid 759 wind instrument, Acta Acust united Ac, vol.103, issue.5, pp.830-846, 2017. ,
Brass in-762 struments as we know them today, Acta Acust 763 united Ac, vol.90, issue.4, pp.600-610, 2004. ,
Input impedance of brass 766 musical instruments-comparison between ex-767 periment and numerical models, J. Acoust. Soc. 768 Am, vol.75, issue.1, pp.241-254, 1984. ,
About the trans-771 fert matrix method in the context of acoustical 772 wave propagation in wind instruments, 2019. ,
, Modern Acoustics and 776 Signal Processing "Acoustics of Musical Instru-777 ments, 2016.
The impedance boundary value prob-780 lem for the Helmholtz equation in a half-plane, p.781, 1997. ,
, Mathematical Methods in the Applied Sciences, vol.782, issue.20, pp.813-840
Higher Order Nu-784 merical Methods for Transient Wave Equations, 2004. ,
Mixed finite elements with mass-lumping for the 788 transient wave equation, Journal of Computa-789 tional Acoustics, vol.787, issue.1, pp.171-188, 2000. ,
, , p.791, 1965.
Methods of mathemat-792 ical physics. partial differential equations, 1965. ,
, , p.795, 2001.
Radiation impedance 796 of tubes with different flanges: Numerical and ex-797 perimental investigations, Journal of Sound, vol.798, issue.3, pp.505-534, 2001. ,
Exponential convergence of 801 hp-fem for maxwell's equations with weighted 802 regularization in polygonal domains, 2005. ,
, Models Methods Appl. Sci, vol.15, issue.4, pp.575-622
An analysis of the 805 convergence of mixed finite element methods, 806 RAIRO. Analyse Numérique, vol.11, issue.4, pp.341-354, 1977. ,
, , 2013.
, One-dimensional acoustic models of horns and 823 comparison with measurements, Acta Acust 824 united Ac, vol.99, issue.6, pp.960-974
, , p.826, 1995.
Dispersion analysis and er-827 ror estimation of galerkin finite element meth-828 ods for the Helmholtz equation, Int. J. Numer, 1995. ,
, Methods Engrg, vol.38, pp.3745-3774
Optimization of 831 brasswind instruments and its application in bore 832 reconstruction, Journal of New Music Research, vol.833, issue.1, pp.69-82, 2001. ,
Ueber den 835 einfluss der wärmeleitung in einem gase auf die 836 schallbewegung, Annalen der Physik, vol.210, issue.6, pp.837-177, 1868. ,
A new impedance 840 tube for large frequency band measurement 841 of absorbing materials, J. Acoust. Soc. Am, vol.842, issue.5, p.3119, 2008. ,
, , p.844, 2012.
Characterization of 845 woodwind instrument toneholes with the finite 846 element method, The Journal of the Acoustical 847 Society of America, vol.131, issue.4, pp.3153-3163, 2012. ,
849 "Horn modeling with conical and cylindrical 850 transmission-line elements, J. Audio Eng. Soc, vol.851, issue.6, pp.471-484, 1993. ,
Numerical method for 854 calculating input impedances of the oboe, The 855 Journal of the Acoustical Society of America, vol.856, issue.3, pp.816-825, 1979. ,
, Méthodes Numériques, p.859, 2007.
,
, , p.862, 1978.
Digital processing of 863 speech signals, vol.100, 1978. ,
A Posteriori Es-866 timates for Partial Differential Equations, p.867, 2008. ,
, Radon Series on Computational and Ap-868 plied Mathematics
,
Webster's 871 horn equation revisited, SIAM Journal on Ap-872 plied Mathematics, vol.65, issue.6, pp.1981-2004, 2005. ,
A single microphone 875 capillary-based system for measuring the com-876 plex input impedance of musical wind instru-877 ments, Acta Acust united Ac, vol.97, issue.5, pp.819-829, 2011. ,
MoReeSC: A framework for the simulation and 881 analysis of sound production in reed and brass in-882 struments, Acta Acust united Ac, vol.880, issue.1, p.885, 2014. ,
Brass instruments 887 design using physics-based sound simulation 888 models and surrogate-assisted derivative-free 889 optimization, Journal of Mechanical Design, vol.890, issue.4, p.41401, 2017. ,
Real-time numer-893 ical solution of webster's equation on a nonuni-894 form grid, IEEE Transactions on Audio, Speech, 895 and Language Processing, vol.16, issue.6, pp.1163-1172, 2008. ,
An overview of full-waveform in-899 version in exploration geophysics, Geophysics, vol.898, issue.6, pp.1-26, 2009. ,
An electri-902 cal method of measuring the intonation of cup-903 mouthpiece instruments, The Journal, p.904, 1947. ,
, Acoustical Society of America, vol.19, issue.5, pp.902-906
, , p.906, 1949.
Sound absorbing 907 materials, 1949. ,