Titlebook: Numerical Methods for Nonlinear Partial Differential Equations; Sören Bartels Book 2015 Springer International Publishing Switzerland 2015

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ux problems for hyperbolic differential equations.Addresses ​​​ Topics in Fractional Differential Equations is devoted to the existence and uniqueness of solutions for various classes of Darboux problems for hyperbolic differential equations or inclusions involving the Caputo fractional derivative. 

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Sören Bartelsr lives. Impressive advances in both the theoretical understanding of fracture mechanisms and practical developments that offer possibilities of control have re-shaped the subject over the past four decades. The contributors to this volume, including some of the most prominent researchers in the fie

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Analytical Backgroundroblems, including bending thin elastic objects as well as elastoplastic material behavior, are formulated within this framework, and general concepts such as the direct method in the calculus of variations and gradient flows that imply their well-posedness are discussed. The definitions and most im

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FEM for Linear Problemstizations of weak formulations of partial differential equations or minimization problems. The approximation properties of low-order finite element functions on simplicial meshes and their application to stationary and evolutionary linear model problems are discussed in this chapter. Short . impleme

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The Allen–Cahn Equationariable that specifies particular phases as the solution of a semilinear parabolic partial differential equation. A small parameter that defines the width of the interfaces between different phases enters classical stability estimates in a critical way, and refined arguments are required to improve