Christoph Ortner

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Mathematics Institute Zeeman Building University of Warwick Coventry CV4 7AL, UK Room C2:16 c.ortner@warwick.ac.uk +44 (0)24 7652 3574 department website My main interest is the coarse graining of atomistic models for solids, in particular the construction and analysis of atomistic-to-continuum coupling methods (a/c methods, quasicontinuum methods). The idea of a/c methods is to use computationally expensive atomistic models to describe only those regions of a computational domain that require atomistic accuracy, e.g., the neighbourhood of a crystal defect, and to use a coarse-grained continuum model to describe the elastic fields. At least in principle, this process can yield models with near atomistic accuracy at a significantly reduced computational cost. In addition I work on various problems arising in the simulation and analysis of mathematical models for solids and materials, for example, analysis and numerical methods for brittle fracture, the Lavrentiev gap phenomenon, adaptive finite element methods for linear and nonlinear PDE, discontinuous Galerkin methods, numerical enclosure methods.