A posteriori error estimates based on hierarchical bases
SIAM Journal on Numerical Analysis
The iterative solver template library
PARA'06 Proceedings of the 8th international conference on Applied parallel computing: state of the art in scientific computing
An adaptive Newton multigrid method for a model of marine ice sheets
Journal of Computational Physics
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We present an extension module for the Dune system. This module, called dune-subgrid, allows to mark elements of another Dune hierarchical grid. The set of marked elements can then be accessed as a Dune grid in its own right. dune-subgrid is free software and is available for download (External Dune Modules: www.dune-project.org/downloadext.html). We describe the functionality and use of dune-subgrid, comment on its implementation, and give two example applications. First, we show how dune-subgrid can be used for micro-FE simulations of trabecular bone. Then we present an algorithm that allows to use exact residuals for the adaptive solution of the spatial problems of time-discretized evolution equations.