UNIFORM EXPONENTIAL DECAY IN THE TEMPORARY VARIABLE SEMI-DISCRETIZATION SPACE OF A DAMPED WAVE EQUATION
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-...
| Authors: | , , , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2011 |
| Country: | Perú |
| Institution: | Universidad Nacional Mayor de San Marcos |
| Repository: | Revistas - Universidad Nacional Mayor de San Marcos |
| Language: | Spanish |
| OAI Identifier: | oai:revistasinvestigacion.unmsm.edu.pe:article/9578 |
| Online Access: | https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9578 |
| Access Level: | Open access |
| Keyword: | Finite-difference space semidiscretizacion Uniform exponential decay of solutions Espacio de semidiscretización en diferencias finitas Decaimiento exponencial uniforme de soluciones. |
| Summary: | 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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