A-posteriori error estimation for the finite point method with applications to compressible flow
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An a-posteriori error estimate with application to inviscid compressible flow problems is presented. The estimate is a surrogate measure of the discretization error, obtained from an approximation to the truncation terms of the governing equations. This approximation is calculated from the discrete nodal differential residuals using a reconstructed solution field on a modified stencil of points. Both the error estimation methodology and the flow solution scheme are implemented using the Finite Point Method, a meshless technique enabling higher-order approximations and reconstruction procedures on general unstructured discretizations. The performance of the proposed error indicator is studied and applications to adaptive grid refinement are presented.
CitationOrtega, E., Flores, R., Oñate, E., Idelsohn, S. R. A-posteriori error estimation for the finite point method with applications to compressible flow. "Computational mechanics", 3 Abril 2017, vol. 60, num. 2, p.219-233.