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Fourth-Order Tensors

2009
Fourth-order tensors play an important role in continuum mechanics where they appear as elasticity and compliance tensors. In this section we define fourth-order tensors and learn some basic operations with them. To this end, we consider a set \(\mathcal{L}{\text{ in}}^{n}\) of all linear mappings of one second-order tensor into another one within ...
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Fourth-Order Vacuum Polarization

Physical Review, 1952
Baranger, M.   +2 more
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On mixed methods for fourth-order problems

Computer Methods in Applied Mechanics and Engineering, 1980
A mixed finite element method for the problem v + σ2Δ2v = x with different types of boundary conditions is described. The method converges, and it is well suited for the analysis of various evolution problems. The computation of the discrete solution is made by applying a sequence of iterative methods for block matrices: correspondingly to each ...
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Fourth-order analogies to the Painlevé equations

Journal of Physics A: Mathematical and General, 2002
Summary: Using the compatibility condition for the Painlevé equations, several new fourth-order ordinary differential equations (ODEs) that are analogies of the Painlevé equations are found. Isomonodromic linear problems for these equations are given. Special solutions of the fourth-order ODEs obtained are discussed.
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Fourth order PDE blends

Proceedings. Eighth International Conference on Information Visualisation, 2004. IV 2004., 2004
Lihua You, Jian J. Zhang 0001
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Report on the Fourth National Cancer Conference

Ca-A Cancer Journal for Clinicians, 1960
John W Berg, J W Berg
exaly  

A Boundary Value Problem for Fourth-Order Elastic Beam Equations

Journal of Mathematical Analysis and Applications, 2008
Beatrice Di Bella, Gabriele Bonanno
exaly  

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