TY - CHAP A1 - Lang, Jens A1 - Erdmann, Bodo A1 - Roitzsch, Rainer ED - Sydow, Achim T1 - Adaptive Time-Space Discretization for Combustion Problems T2 - 15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics, Vol. 2, Numerical Mathematics Y1 - 1997 SP - 49 EP - 155 PB - Wissenschaft und Technik Verlag, Berlin ER - TY - CHAP A1 - Lang, Jens A1 - Erdmann, Bodo A1 - Roitzsch, Rainer ED - Lewis, R. T1 - Three-Dimensional Fully Adaptive Solution of Thermo-Diffusive Flame Propagation Problems T2 - Numerical Methods in Thermal Problems Y1 - 1997 SP - 857 EP - 862 PB - Pineridge Press, Swansea, UK ER - TY - CHAP A1 - Lang, Jens A1 - Erdmann, Bodo A1 - Kober, Cornelia A1 - Deuflhard, Peter A1 - Sader, Robert A1 - Zeilhofer, Hans-Florian ED - Alt, Walter ED - Hermann, Martin T1 - Effiziente und zuverlässige Finite-Elemente-Methoden zur Simulation des menschlichen Unterkiefers T2 - Berichte des IZWR - Interdisziplinäres Zentrum für Wissenschaftliches Rechnen Y1 - 2003 VL - 1 SP - 49 EP - 57 PB - Universität Jena CY - Germany ER - TY - CHAP A1 - Kober, C. A1 - Erdmann, Bodo A1 - Lang, Jens A1 - Sader, Robert A1 - Zeilhofer, Hans-Florian T1 - Sensitivity of the Temporomandibular Joint Capsule for the Structural Behaviour of the Human Mandible T2 - Proc. BMT 2004 Y1 - 2004 VL - 49-2 SP - 372 EP - 373 CY - Ilmenau, Deutschland ER - TY - CHAP A1 - Kober, C. A1 - Erdmann, Bodo A1 - Lang, Jens A1 - Sader, Robert A1 - Zeilhofer, Hans-Florian T1 - Adaptive Finite Element Simulation of the Human Mandible Using a New Physiological Model of the Masticatory Muscles T2 - Proc. of 75th Annual Meeting of the GAMM Y1 - 2004 VL - 4 IS - 1 SP - 332 EP - 333 ER - TY - JOUR A1 - Birkenheuer, Georg A1 - Blunk, Dirk A1 - Breuers, Sebastian A1 - Brinkmann, André A1 - dos Santos Vieira, Ines A1 - Fels, Gregor A1 - Gesing, Sandra A1 - Grunzke, Richard A1 - Herres-Pawlis, Sonja A1 - Kohlbacher, Oliver A1 - Krüger, Jens A1 - Lang, Ulrich A1 - Packschies, Lars A1 - Müller-Pfefferkorn, Ralph A1 - Schäfer, Patrick A1 - Steinke, Thomas A1 - Warzecha, Klaus Dieter A1 - Wewior, Martin T1 - MoSGrid: efficient data management and a standardized data exchange format for molecular simulations in a grid environment JF - Journal of Cheminformatics Y1 - 2012 UR - http://www.jcheminf.com/content/4/S1/P21 U6 - https://doi.org/10.1186/1758-2946-4-S1-P21 VL - 4 IS - Suppl 1 SP - 21 ER - TY - JOUR A1 - Lang, Jens A1 - Erdmann, Bodo A1 - Seebaß, Martin T1 - Impact of Nonlinear Heat Tansfer on Temperature Control in Regional Hypertermia JF - IEEE Trans. Biomed. Engrg. Y1 - 1999 U6 - https://doi.org/10.1109/10.784145 VL - 46 SP - 1129 EP - 1138 ER - TY - GEN A1 - Franzone, Piero Colli A1 - Deuflhard, Peter A1 - Erdmann, Bodo A1 - Lang, Jens A1 - Pavarino, Luca Franco T1 - Adaptivity in Space and Time for Reaction-Diffusion Systems in Electrocardiology N2 - Adaptive numerical methods in space and time are introduced and studied for multiscale cardiac reaction-diffusion models in three dimensions. The evolution of a complete heartbeat, from the excitation to the recovery phase, is simulated with both the anisotropic Bidomain and Monodomain models, coupled with either a variant of the simple FitzHugh-Nagumo model or the more complex phase-I Luo-Rudy ionic model. The simulations are performed with the {\sc kardos} library, that employs adaptive finite elements in space and adaptive linearly implicit methods in time. The numerical results show that this adaptive method successfully solves these complex cardiac reaction-diffusion models on three-dimensional domains of moderate sizes. By automatically adapting the spatial meshes and time steps to the proper scales in each phase of the heartbeat, the method accurately resolves the evolution of the intra- and extra-cellular potentials, gating variables and ion concentrations during the excitation, plateau and recovery phases. T3 - ZIB-Report - 05-30 KW - reaction-diffusion equations KW - cardiac Bidomain and Monodomain models KW - adaptive finite elements KW - adaptive time integration Y1 - 2005 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-8649 ER - TY - GEN A1 - Roitzsch, Rainer A1 - Erdmann, Bodo A1 - Lang, Jens T1 - The Benefits of Modularization: from KASKADE to KARDOS N2 - KARDOS solves nonlinear evolution problems in 1, 2, and 3D. An adaptive multilevel finite element algorithm is used to solve the spatial problems arising from linearly implicit discretization methods in time. Local refinement and derefinement techniques are used to handle the development of the mesh over time. The software engineering techniques used to implement the modules of the KASKADE toolbox are reviewed and their application to the extended problem class is described. A notification system and dynamic construction of records are discussed and their values for the implementation of a mesh transfer operation are shown. The need for low-level and high--level interface elements of a module is discussed for the assembling procedure of KARDOS. At the end we will summarize our experiences. T3 - ZIB-Report - SC-98-15 Y1 - 1998 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-3586 ER - TY - GEN A1 - Erdmann, Bodo A1 - Lang, Jens A1 - Matera, Sebastian A1 - Wilmanski, Krzysztof T1 - Adaptive Linearly Implicit Methods for Linear Poroelastic Equations N2 - Adaptive numerical methods in time and space are introduced and studied for linear poroelastic models in two and three space dimensions. We present equivalent models for linear poroelasticity and choose both the {\em displacement--pressure} and the {\em stress--pressure} formulation for our computations. Their discretizations are provided by means of linearly implicit schemes in time and linear finite elements in space. Our concept of adaptivity opens a way to a fast and reliable simulation of different loading cases defined by corresponding boundary conditions. We present some examples using our code {\sf Kardos} and show that the method works efficiently. In particular, it could be used in the simulation of some bone healing models. T3 - ZIB-Report - 06-37 KW - Poroelasticity KW - Biot's model KW - bone healing KW - adaptive finite elements KW - adaptive time integration KW - Rosenbrock methods Y1 - 2006 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-9312 ER -