Time domain simulation of a piano. Part 2: numerical aspects

DOI10.1051/m2an/2015007zbMath1381.00017OpenAlexW2046553160MaRDI QIDQ2798134

Patrick Joly, Juliette Chabassier, Marc Duruflé

Publication date: 1 April 2016

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2015007

zbMATH Keywords

numerical methodsenergy preserving schemespiano model

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Strings (74K05) Mathematics and music (00A65)

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Geometric-integration tools for the simulation of musical sounds

Cites Work

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• Energy preserving schemes for nonlinear Hamiltonian systems of wave equations: application to the vibrating piano string
• Numerical solution of a nonlinear Klein-Gordon equation
• Introduction and study of fourth order theta schemes for linear wave equations
• Conservative space-time mesh refinement methods for the FDTD solution of Maxwell's equations
• Time domain simulation of a piano. Part 1: model description
• MIXED FINITE ELEMENTS WITH MASS-LUMPING FOR THE TRANSIENT WAVE EQUATION
• Shear Coefficients for Timoshenko Beam Theory
• Mixed Higher Order Spectral Finite Elements for Reissner–Mindlin Equations
• Energy Conserving Explicit Local Time Stepping for Second-Order Wave Equations
• Discrete gradient methods for solving ODEs numerically while preserving a first integral

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