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Creators/Authors contains: "Wagner, Jakob"

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  1. ; ; (, ESAIM: Mathematical Modelling and Numerical Analysis)
    In this paper we analyze a homogeneous parabolic problem with initial data in the space of regular Borel measures. The problem is discretized in time with a discontinuous Galerkin scheme of arbitrary degree and in space with continuous finite elements of orders one or two. We show parabolic smoothing results for the continuous, semidiscrete and fully discrete problems. Our main results are interiorL∞error estimates for the evaluation at the endtime, in cases where the initial data is supported in a subdomain. In order to obtain these, we additionally show interiorL∞error estimates forL2initial data and quadratic finite elements, which extends the corresponding result previously established by the authors for linear finite elements. 
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