Error estimates for stabilized finite element methods applied to\n ill-posed problems

2014/06/17 by Erik Burman, Burman, Erik
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1406.4371

openalex publication_date 2014/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose an analysis for the stabilized finite element methods proposed in,\nE. Burman, Stabilized finite element methods for nonsymmetric, noncoercive, and\nill-posed problems. Part I: Elliptic equations. SIAM J. Sci. Comput., 35(6)\n2013, valid in the case of ill-posed problems for which only weak continuous\ndependence can be assumed. A priori and a posteriori error estimates are\nobtained without assuming coercivity or inf-sup stability of the continuous\nproblem. A numerical example illustrates the theory.\n

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