Abstract
We present an abstract stabilization method which covers previous concrete applications to advection-diffusion equations and to the Stokes equations for incompressible fluids. We then apply the method to stabilize domain decomposition formulations for elliptic problems. We obtain a method that allows the treatment of internal variables, interface variables and Lagrange multipliers (normal derivatives) by piecewise polynomials of arbitrary order.
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© 1992 Springer-Verlag Berlin Heidelberg
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Baiocchi, C., Brezzi, F., Marini, L.D. (1992). Stabilization of Galerkin methods and applications to domain decomposition. In: Bensoussan, A., Verjus, J.P. (eds) Future Tendencies in Computer Science, Control and Applied Mathematics. INRIA 1992. Lecture Notes in Computer Science, vol 653. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-56320-2_71
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DOI: https://doi.org/10.1007/3-540-56320-2_71
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