616 research outputs found
Time and space adaptivity for the second-order wave equation
The aim of this paper is to show that, for a linear second-order hyperbolic equation discretized by the backward Euler scheme in time and continuous piecewise linear finite elements in space, the adaptation of the time steps can be combined with spatial mesh adaptivity in an optimal way. We derive a priori and a posteriori error estimates which admit, as much as it is possible, the decoupling of the errors committed in the temporal and spatial discretizations
Inverse estimates for elliptic boundary integral operators and their application to the adaptive coupling of FEM and BEM
We prove inverse-type estimates for the four classical boundary integral
operators associated with the Laplace operator. These estimates are used to
show convergence of an h-adaptive algorithm for the coupling of a finite
element method with a boundary element method which is driven by a weighted
residual error estimator
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