Abstract
Finite element approximations for the first boundary value problem of elasticity are given which allow to use subspaces of functions not vanishing on the boundary. L2 and L∞ error estimates are derived.
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Literature
Ciarlet, P.G. and P.A. Raviart General lagrange and hermite interpolation in Rn with applications to finite element methods Archive for Rat. Mech. and Anal. 46, (1972) 177–199
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Nitsche, J. On approximation methods for Dirichlet-Problems using subspaces with ‘nearly zero’ boundary conditions in “The mathematical foundations of the finite element method with application to partial differential equations, K. Aziz and I. Babugka eds., Acad. Press, New York and London, 4972, 603–627
Nitsche, J. L.-convergence of finite element approximation, “2. conference on finite elements”, Rennes, France (1975)
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© 1976 Springer-Verlag Berlin Heidelberg
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Nitsche, J. (1976). Finite Element Approximations for Solving the Elastic Problem. In: Glowinski, R., Lions, J.L. (eds) Computing Methods in Applied Sciences and Engineering. Lecture Notes in Economics and Mathematical Systems, vol 134. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85972-4_9
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DOI: https://doi.org/10.1007/978-3-642-85972-4_9
Publisher Name: Springer, Berlin, Heidelberg
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