Bernhard Wieland

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We present a new approach to solve nonlinear parametric partial differential equations (PPDEs) with stochastic coefficients, which is based on the Reduced Basis (RB) method. It is imposed that the problem formulation allows for an affine decomposition in the (deterministic) parameter. The uncertainties in the coefficients are modeled using Karhunen-Lò eve(More)
We consider parametric partial differential equations (PPDEs) with stochastic influences e.g. in terms of random coefficients. Using standard discretizations such as finite elements, this often amounts to high-dimensional problems. In a multi-query context, the PPDE has to be solved for various instances of the deterministic parameter as well as the(More)
We consider parameter dependent spatial stochastic processes in the context of partial differential equations (PDEs) and model order reduction. For a given parameter, a random sample of such a process specifies a sample coefficient function of a PDE, e.g. characteristics of porous media such as Li-ion batteries or random influences in biomechanical systems.(More)
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The specific objectives of TIPP are: 1. to provide a comprehensive and in-depth picture of institutional constraints to implementing transport policy throughout Europe; 2. to develop an approach for studying institutional implementation issues by combining elements from the positive theories of regulation, public choice and federalism with the standard(More)
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