A posteriori error estimation for non-linear eigenvalue problems for differential operators of second order with focus on 3D vertex singularities

By (author) Cornelia Pester

Book cover: A posteriori error estimation for non-linear eigenvalue problems for differential operators of second order with focus on 3D vertex singularities

Extent: 137, 137 pages

Publisher: Logos Verlag Berlin

Subjects: Technical Sciences: Computer Science, Engineering, IT, & Math

Language: English

Paperback (Published)

(May 2006)

ISBN: 9783832512491

5.71 x 8.27 inches

Price: $61.00

Out of stock

his thesis is concerned with the finite element analysis and the a posteriori error estimation for eigenvalue problems for general operator pencils on two-dimensional manifolds. A specific application of the presented theory is the computation of corner singularities. Engineers use the knowledge of the so-called singularity exponents to predict the onset and the propagation of cracks. All results of this thesis are explained for two model problems, the Laplace and the linear elasticity problem, and verified by numerous numerical results.

  • By (author) Cornelia Pester

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