Infante Del Río, Juan AntonioZuazua Iriondo, Enrique2023-06-202023-06-201998-030764-444210.1016/S0764-4442(98)80036-0https://hdl.handle.net/20.500.14352/58805We consider the finite-difference and finite-element space discretization of the 1 - d wave equation with homogeneous Dirichlet boundary conditions in a bounded interval. We analyze the problem of estimating the total energy of solutions in terms of the energy concentrated on the boundary, uniformly as the net-spacing h --> 0. We prove that there is no such a uniform bound due to spurious high frequencies. We prove however an uniform bound in suitable subspaces of solutions that eventually cover the whole energy space.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0764444298800360http://www.sciencedirect.com/restricted access51-73Física matemática