@inproceedings{LangErdmannRoitzsch1997, author = {Lang, Jens and Erdmann, Bodo and Roitzsch, Rainer}, title = {Adaptive Time-Space Discretization for Combustion Problems}, booktitle = {15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics, Vol. 2, Numerical Mathematics}, editor = {Sydow, Achim}, publisher = {Wissenschaft und Technik Verlag, Berlin}, pages = {49 -- 155}, year = {1997}, language = {en} } @inproceedings{LangErdmannRoitzsch1997, author = {Lang, Jens and Erdmann, Bodo and Roitzsch, Rainer}, title = {Three-Dimensional Fully Adaptive Solution of Thermo-Diffusive Flame Propagation Problems}, booktitle = {Numerical Methods in Thermal Problems}, editor = {Lewis, R.}, publisher = {Pineridge Press, Swansea, UK}, pages = {857 -- 862}, year = {1997}, language = {en} } @misc{LangErdmannRoitzsch1997, author = {Lang, Jens and Erdmann, Bodo and Roitzsch, Rainer}, title = {Three-Dimensional Fully Adaptive Solution of Thermo-Diffusive Flame Propagation Problems}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-2879}, number = {SC-97-18}, year = {1997}, abstract = {In this paper we present a self--adaptive finite element method to solve flame propagation problems in 3D. An implicit time integrator of Rosenbrock type is coupled with a multilevel approach in space. The proposed method is applied to an unsteady thermo--diffusive combustion model to demonstrate its potential for the solution of complicated problems.}, language = {en} } @misc{LangErdmannRoitzsch1997, author = {Lang, Jens and Erdmann, Bodo and Roitzsch, Rainer}, title = {Adaptive Time-Space Discretization for Combustion Problems}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-3094}, number = {SC-97-40}, year = {1997}, abstract = {We present a self--adaptive finite element method to solve combustion problems in 1D, 2D, and 3D. An implicit time integrator of Rosenbrock type is coupled with a multilevel approach in space. A posteriori error estimates are obtained by constructing locally higher order solutions involving all variables of the problem. Adaptive strategies such as step size control, spatial refinement and coarsening allow us to get economically an accurate solution. Various examples are presented to demonstrate practical applications of the proposed method.}, language = {en} } @inproceedings{BeckErdmannRoitzsch1997, author = {Beck, Rudolf and Erdmann, Bodo and Roitzsch, Rainer}, title = {An Object-Oriented Adaptive Finite Element Code}, booktitle = {Modern Software Tools for Scientific Computing}, editor = {Arge, Erlend and Bruaset, Are Magnus and Langtangen, Hans Petter}, publisher = {Birkh{\"a}user, Boston}, pages = {105 -- 124}, year = {1997}, language = {en} }