Convergence of adaptive finite element methods with error-dominated oscillation
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Date
2018-03
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Abstract
Recently, we devised an approach to a posteriori error analysis, which
clarifies the role of oscillation and where oscillation is bounded in terms of the current
approximation error. Basing upon this approach, we derive plain convergence
of adaptive linear finite elements approximating the Poisson problem. The result
covers arbritray H^-1-data and characterizes convergent marking strategies.