RT Journal Article
T1 Boundary observability for the space-discretizations of the 1-d wave equation
A1 Infante Del Río, Juan Antonio
A1 Zuazua Iriondo, Enrique
AB We 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.
PB Elsevier
SN 0764-4442
YR 1998
FD 1998-03
LK https://hdl.handle.net/20.500.14352/58805
UL https://hdl.handle.net/20.500.14352/58805
LA eng
DS Docta Complutense
RD 6 abr 2025