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Dr Anne Reinarz's Outputs (4)

High-performance dune modules for solving large-scale, strongly anisotropic elliptic problems with applications to aerospace composites (2019)
Journal Article
Butler, R., Dodwell, T., Reinarz, A., Sandhu, A., Scheichl, R., & Seelinger, L. (2020). High-performance dune modules for solving large-scale, strongly anisotropic elliptic problems with applications to aerospace composites. Computer Physics Communications, 249, Article 106997. https://doi.org/10.1016/j.cpc.2019.106997

The key innovation in this paper is an open-source, high-performance iterative solver for high contrast, strongly anisotropic elliptic partial differential equations implemented within dune-pdelab. The iterative solver exploits a robust, scalable two... Read More about High-performance dune modules for solving large-scale, strongly anisotropic elliptic problems with applications to aerospace composites.

Sparse grid approximation spaces for space–time boundary integral formulations of the heat equation (2019)
Journal Article
Chernov, A., & Reinarz, A. (2019). Sparse grid approximation spaces for space–time boundary integral formulations of the heat equation. Computers and Mathematics with Applications, 78(11), 3605-3619. https://doi.org/10.1016/j.camwa.2019.06.036

The aim of this paper is to develop and analyse stable and accurate numerical approximation schemes for boundary integral formulations of the heat equation with Dirichlet boundary conditions. The accuracy of Galerkin discretisations for the resulting... Read More about Sparse grid approximation spaces for space–time boundary integral formulations of the heat equation.