Lectures on Advanced Computational Methods in MechanicsJohannes Kraus, Ulrich Langer The series is devoted to the publication of high-level monographs, surveys and proceedings which cover the whole spectrum of computational and applied mathematics. The books of this series are addressed to both specialists and advanced students. Interested authors may submit book proposals to the Managing Editor or to any member of the Editorial Board. Managing Editor Editorial Board |
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Lectures on Advanced Computational Methods in Mechanics Johannes Kraus,Ulrich Langer Limited preview - 2011 |
Common terms and phrases
algebraic multilevel algorithm AMLI methods anisotropy approximate solution approximation error assume Babuška boundary conditions boundary value problems C₁ CBS constant coefficient computational condition number consider corresponding defined denotes derived Dirichlet boundary condition discretization Domain Decomposition Methods elliptic problems en+1 equations exists extension operator finite element methods functional a posteriori grid H₁ hierarchical basis hysteresis operator independent of h inequality initial-boundary value problem iterative methods Johannes Kraus Lemma linear finite elements macro-element Margenov Math mathematical mesh monotone multilevel preconditioning nonconforming nonlinear norm numerical obtained optimal P₁ parameter partial differential equations piecewise piezoelectric pivot block posteriori error estimates posteriori estimates preconditioner Preisach operator proof respect robust satisfying Schur complement solving space splitting stiffness matrix subdomains subspace Theorem triangle upper bound vector Verfürth ΘΩ Ω₁