Abstract
The Ritz method for strong elliptic pseudo-differential equations is discussed. ‘Optimal’ local error estimates are derived if the underlying ‘approximation-spaces’ are finite elements. The analysis covers simultaneously pseudo-differential operators of positive and negative order. In case of positive order an additional regularity assumption for the ‘approximation-spaces’ is needed.
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Braun, K. Interior error estimates of the Ritz method for pseudo-differential equations. Japan J. Appl. Math. 3, 59–72 (1986). https://doi.org/10.1007/BF03167092
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DOI: https://doi.org/10.1007/BF03167092