Summary
Domain decomposition techniques provide a powerful tool for the numerical approximation of partial differential equations. We consider mortar techniques with dual Lagrange multiplier spaces to couple different discretization schemes. It is well known that the discretization error for linear mortar finite elements in the energy norm is of order h. Here, we apply these techniques to curvilinear boundaries, nonlinear problems and the coupling of different model equations and discretizations.
This work was supported in part by the Deutsche Forschungsgemeinschaft, SFB 404, C12.
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Lamichhane, B.P., Wohlmuth, B.I. (2005). Mortar Finite Elements with Dual Lagrange Multipliers: Some Applications. In: Barth, T.J., et al. Domain Decomposition Methods in Science and Engineering. Lecture Notes in Computational Science and Engineering, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26825-1_31
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DOI: https://doi.org/10.1007/3-540-26825-1_31
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