Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs
Philipp Bringmann,
Maximilian Brunner,
Dirk Praetorius
et al.
Abstract:We analyze a goal-oriented adaptive algorithm that aims to efficiently compute the quantity of interest G(u
⋆) with a linear goal functional G and the solution u
⋆ to a general second-order nonsymmetric linear elliptic partial differential equation. The current state of the analysis of iterative algebraic solvers for nonsymmetric systems lacks the contraction property in the norms that are prescribed by the functional analytic setting. This seemingly prevents their applicati… Show more
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