UNIFORM EXPONENTIAL DECAY IN THE TEMPORARY VARIABLE SEMI-DISCRETIZATION SPACE OF A DAMPED WAVE EQUATION

• Autores: Gavilán Gonzales, Maruja, Loli Prudencio, Cristian, Castillo Jiménez, Emilio, Guardia Cayo, Andrés, Malasquez Ruiz, Lucio
• Formato: artículo
• Fecha de Publicación: 2011
• Institución: Universidad Nacional Mayor de San Marcos
• Repositorio: Revistas - Universidad Nacional Mayor de San Marcos
• Lenguaje: español
• OAI Identifier: oai:ojs.csi.unmsm:article/9578
• Enlace del recurso: https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9578
• Nivel de acceso: acceso abierto
• Materia: Finite-difference space semidiscretizacion; Uniform exponential decay of solutions; Espacio de semidiscretización en diferencias finitas; Decaimiento exponencial uniforme de soluciones.

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.