A posteriori error analysis for a continuous space-time finite element\n method for a hyperbolic integro-differential equation

2012/05/01 by Fardin Saedpanah, Saedpanah, Fardin
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1205.0159

openalex publication_date 2012/05/01 · openalex created_date 2023/02/18 · openalex updated_date 2026/07/28

Abstract

An integro-differential equation of hyperbolic type, with mixed boundary\nconditions, is considered. A continuous space-time finite element method of\ndegree one is formulated. A posteriori error representations based on\nspace-time cells is presented such that it can be used for adaptive strategies\nbased on dual weighted residual methods. A posteriori error estimates based on\nweighted global projections and local projections are also proved.\n

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