Titlebook: Error Estimates for Advanced Galerkin Methods; Marcus Olavi Rüter Book 2019 Springer Nature Switzerland AG 2019 Elastic Fracture Mechanics

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https://doi.org/10.1007/978-1-4757-4723-2hat can be employed in this chapter. Throughout this chapter, we confine ourselves to Galerkin mesh-based methods although similar error estimation procedures can also be developed for Galerkin meshfree methods.

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Polymorphic Assemblies of Tubulin,ducing kernel particle methods. Various materials, such as concrete and aluminum, are investigated in this chapter with an emphasis on glass and rubber. Although these materials seem to exhibit different material behavior, they share many similarities.

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Probing the Cytoskeleton by Microinjection,blems, including their geometry, are too complex for the feasible derivation of an exact analytical solution even though such a solution exists. We are therefore forced to employ numerical methods to obtain, at least, approximate solutions to the boundary value problems stated in the previous chapter.

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Introduction,on process of a physical phenomenon based on various Galerkin methods. The Galerkin methods dealt with in this monograph are the (conventional) finite element method (FEM) and, in particular, advanced versions of the finite element method, such as the extended finite element method (XFEM).

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Cell and Molecular Biology of the Uterus kernel particle methods. For the time being, we restrict our considerations to the linearized elasticity problem (3.28) because this linear problem allows for the development of verification strategies in a more convenient way. Verification strategies applied to the finite hyperelasticity problem will be detailed in Chap. 8.

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Cell and Molecular Biology of the Earvided by the enhanced assumed strain (EAS) method. This method was originally introduced to alleviate volumetric locking in the finite element method. In this chapter, it is demonstrated how the enhanced assumed strain method can be used as a basis for a nodal integration scheme that can be applied to both Galerkin mesh-based and meshfree methods.