Abstract
Standard Galerkin methods based on C0-piecewise-polynomial spaces often can lead to unsatisfactory approximations of solutions of problems having dominant transport terms. A penalty on the jump in the normal derivative across the interior edges of elements can produce an apparent stiffness intermediate between C0 and C1, and such a method is proposed and analyzed for elliptic and parabolic equations.
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References
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© 1976 Springer-Verlag
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Douglas, J., Dupont, T. (1976). Interior Penalty Procedures for Elliptic and Parabolic Galerkin Methods. In: Glowinski, R., Lions, J.L. (eds) Computing Methods in Applied Sciences. Lecture Notes in Physics, vol 58. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0120591
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DOI: https://doi.org/10.1007/BFb0120591
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