Construction noise maps with finite element and newmark
DOI:
https://doi.org/10.21754/tecnia.v22i2.80Keywords:
noise maps, Galerkin method, Finite elements, Newmark methodAbstract
This article uses the weak formulation of the problems Partial Hyperbolic type (VPE) for construction noise maps with finite element and Newmark in two-dimensional space. To ensure the numerical simulation of the problem of propagation of the noise source, so that proves the existence and uniqueness of the variational problem in Sobolev spaces evolutionary and applied the finite element method and method Galerkin for spatial discretization and Newmark method for the time discretization. In this work, the innovative technique of preparation of the data base and computational experimentation whit Mathlab, finally obtaining effectively the solution as shown in the convergence of the numerical scheme.
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[2] Tijonov, A., Samarsky, A., “Ecuaciones de la Física Matemática”, 1era. edición editorial MIR, Moscú 1972.
[3] Evans, Lawrence C., “Partial Differential Equations, Graduate Studies in Mathematics”, Vol. 19, editorial American Mathematical Society, Berkeley 1997.
[4] Quarteroni, A., “Numerical Mathematics”, 2da. Edición, editorial Springer, 2007.
[5] Reddy, J. N., “An Introduction to the Finite Element Method”, 2nda. Edición editorial Mc Graw- Hill, 1993.
[6] Chiba, F., Kako, T., “On the Stability Newmarks β-method”. Research Institute of Mathematical Sciences, Kyoto University Vol. 1040, 39-44, 1998.
[7] Mantilla, I, Munguia, J., “Método de D’ Alambert con Integración de Simpson para resolver el problema de onda sonora”, XV Encuentro de Física- FC-UNI, 2011.
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