A new Korn's type inequality for thin domains and its application to iterative methods
We present a new Korn's type inequality which estimates the ratio of the energy norm to the Sobolev norm in a given subspace in terms of the angle which it forms with an explicitly extracted finite-dimensional subspace. This inequality provides crucial information for improving the convergence of various iterative algorithms for elasticity problems in this domains. This is demonstrated in the case of the semi-discrete iterative algorithm EDRA.
scientific article; zbMATH DE number 1057451
scientific article