Space-time discontinuous Galerkin method for parabolic problems in time-dependent domains Part II. Analysis

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Sudirham, J.J. and van der Vegt, J.J.W. and van Damme, R.M.J. (2004) Space-time discontinuous Galerkin method for parabolic problems in time-dependent domains Part II. Analysis. [Report]

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Abstract:
In this report we analyze further the space-time discontinuous Galerkin (DG) finite element method for the solution of the advection-diffusion-reaction equation in time-dependent domains. We prove that the method is consistent, stable, coercive, and gives a unique solution. We also analyze the error estimates and $hp$-convergence of the method. The analysis is completed by analyzing the corresponding dual problems.
Item Type:Report
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Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/65917
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