UNIFORM EXPONENTIAL DECAY IN THE TEMPORARY VARIABLE SEMI-DISCRETIZATION SPACE OF A DAMPED WAVE EQUATION
DOI:
https://doi.org/10.15381/pes.v14i1.9578Keywords:
Finite-difference space semidiscretizacion, Uniform exponential decay of solutionsAbstract
Our purpose is to analyze and to attain result in the classical numerical approximation schemes of the damped wave equation one-dimentional, with relation to exponential decay property of solutions and whether it is uniform with respect to the mesh size. We consider the finite-difference space semi-discretization of a locally damped wave equation. The decay rate of the semi-discrete systems turns out depend on the mesh size h goes to zero. We prove that adding a suitable vanishing numerical viscosity term leads to a uniform exponential decay of the energy of solutions.
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Copyright (c) 2011 Maruja Gavilán Gonzales, Cristian Loli Prudencio, Emilio Castillo Jiménez, Andrés Guardia Cayo, Lucio Malasquez Ruiz
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