%0 Conference Paper %1 HO07 %A Haasdonk, Bernard %A Ohlberger, M. %B Proc. International Conference on Adaptive Modeling and Simulation, ADMOS 2007 %D 2007 %E Díez, P. %E Runesson, K. %I CIMNE, Barcelona %K imported from:britsteiner ians anm %T Basis Construction for Reduced Basis Methods By Adaptive Parameter Grids %X An important step in parametrized PDE-based model reduction with reduced basis methods is the generation of a reduced basis space, on which the detailed numerical simula- tions are projected. We present a new strategy for this reduced basis generation. We apply an effective exploration of the parameter space by adaptive grids. The resulting method gives a considerable improvement concerning equal distribution of the model error over the parameter space compared to fixed or uniformly refined grids. It is computationally very effective in terms of small ratio of training-time and model-error.

@inproceedings{HO07, abstract = {An important step in parametrized PDE-based model reduction with reduced basis methods is the generation of a reduced basis space, on which the detailed numerical simula- tions are projected. We present a new strategy for this reduced basis generation. We apply an effective exploration of the parameter space by adaptive grids. The resulting method gives a considerable improvement concerning equal distribution of the model error over the parameter space compared to fixed or uniformly refined grids. It is computationally very effective in terms of small ratio of training-time and model-error.}, added-at = {2021-09-29T14:35:07.000+0200}, author = {Haasdonk, Bernard and Ohlberger, M.}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/235192fc6e642f57a5372eb2e6070af97/mathematik}, booktitle = {Proc. International Conference on Adaptive Modeling and Simulation, ADMOS 2007}, editor = {D\'iez, P. and Runesson, K.}, file = {:PDF/UNSORTED/confidential_HO07_Haasdonk_Ohlberger_ADMOS2007_proof.pdf:PDF}, groups = {haasdonk, haasdonk_all_papers}, interhash = {2fd5bb83aa564299c980c68788022074}, intrahash = {35192fc6e642f57a5372eb2e6070af97}, keywords = {imported from:britsteiner ians anm}, owner = {haasdonk}, publisher = {CIMNE, Barcelona}, timestamp = {2021-09-29T12:35:07.000+0200}, title = {Basis Construction for Reduced Basis Methods By Adaptive Parameter Grids}, year = 2007 }