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Titlebook: Numerical Mathematics and Advanced Applications; Proceedings of ENUMA Miloslav Feistauer,Vít Dolejší,Karel Najzar Conference proceedings 20

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Computational Study of Field Scale BTEX Transport and Biodegradation in the Subsurfacesite is considered and realistic laboratory-derived or field-measured input parameters are used. The biodegradation of the dissolved contaminant plume is modelled by Monod type kinetics. For the computations we use an approximation scheme which is based on a higher order finite element method and th
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A Posteriori Error Estimates for Parameter Identificationtor aims to control the error in parameters due to the discretization by finite elements. It is used in an adaptive mesh refinement algorithm generating a sequence of locally refined meshes for efficient computation of the parameters. Comparison with some heuristic mesh refinement algorithms is done
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On a Phase-Field Model with Advectionbased on the approach presented in [3], where an extensive literature list on methods treating mean-curvature problems can be found. The model represents a step towards simulation of solidification processes where the melt motion is important. We give a basic mathematical information concerning the
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Fast Evaluation of Eddy Current Integral Operators leads to large dense matrices. In order to treat the discretized system efficiently, we cannot store these dense matrices directly, but use data-sparse approximations..We present an approach based on piecewise polynomial interpolation of the underlying kernel functions. The resulting ..-. can be st
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