TY - JOUR A1 - Asam, P. A1 - Deuflhard, Peter A1 - Kaiser, Wolfgang T1 - Intensity Limiting and Stimulated Brillouin Scattering in Germanium JF - Physics Letters Y1 - 1968 VL - 27 A SP - 78 EP - 79 ER - TY - JOUR A1 - Deuflhard, Peter A1 - Pesch, H.-J. A1 - Rentrop, P. T1 - A Modified Continuation Method for the Numerical Solution of Nonlinear Two-Point Boundary Value Problems by Shooting Techniques JF - Numer. Math. Y1 - 1976 VL - 26 SP - 327 EP - 343 ER - TY - RPRT A1 - Deuflhard, Peter A1 - Fiedler, B. A1 - Kunkel, P. T1 - Efficient numerical pathfollowing beyond critical points Y1 - 1984 IS - 278 PB - Universität Heidelberg ER - TY - CHAP A1 - Deuflhard, Peter A1 - Fiedler, B. A1 - Kunkel, P. T1 - Numerical Pathfollowing Beyond Critical Points in ODE Models T2 - Large Scale Scientific Computing Y1 - 1987 SP - 97 EP - 113 PB - Birkhäuser/Boston ER - TY - JOUR A1 - Deuflhard, Peter A1 - Fiedler, P. A1 - Kunkel, P. T1 - Efficient numerical pathfollowing beyond critical points JF - SIAM J. Numer. Anal. Y1 - 1987 VL - 24 SP - 912 EP - 927 ER - TY - GEN A1 - Deuflhard, Peter A1 - Leinen, P. A1 - Yserentant, Harry T1 - Concepts of an Adaptive Hierarchical Finite Element Code. N2 - The paper presents the mathematical concepts underlying the new adaptive finite element code KASKADE, which, in its present form, applies to linear scalar second-order 2-D elliptic problems on general domains. Starting point for the new development is the recent work on hierarchical finite element bases due to Yserentant (1986). It is shown that this approach permits a flexible balance between iterative solver, local error estimator, and local mesh refinement device - which are the main components of an adaptive PDE code. Without use of standard multigrid techniques, the same kind of computational complexity is achieved - independent of any uniformity restrictions on the applied meshes. In addition, the method is extremely simple and all computations are purely local - making the method particularly attractive in view of parallel computing. The algorithmic approach is illustrated by a well-known critical test problem. {\bf Keywords:} finite elements, hierarchical basis, adaptive mesh refinement, preconditioned conjugate gradient methods. T3 - ZIB-Report - SC-88-05 KW - finite elements KW - hierarchical basis KW - adaptive mesh refinement KW - preconditioned conjugate gradient methods Y1 - 1988 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-131 ER - TY - JOUR A1 - Deuflhard, Peter A1 - Leinen, P. A1 - Yserentant, H. T1 - Concepts of an adaptive hierarchical finite element code JF - IMPACT Comput. Sci. Eng. Y1 - 1989 VL - 1 IS - 1 SP - 3 EP - 35 ER - TY - JOUR A1 - Nadobny, Johanna A1 - Fähling, Horst A1 - Hagmann, M. A1 - Turner, P. A1 - Wlodarczyk, Waldemar A1 - Gellermann, Johanna A1 - Deuflhard, Peter A1 - Wust, Peter T1 - Experimental and numerical investigation of feed-point parameters in a 3-D hyperthermia applicator using different FDTD models of feed networks JF - IEEE Trans Biomed Eng Y1 - 2002 VL - 49 IS - 11 SP - 1348 EP - 1359 ER - TY - JOUR A1 - Sreenivasa, G. A1 - Gellermann, Johanna A1 - Nadobny, Johanna A1 - Schlag, P. A1 - Deuflhard, Peter A1 - Felix, Roland A1 - Wust, Peter T1 - Clinical Use of the Hyperthermia Treatment Planning System Hyperplan to Predict Effectiveness and Toxicity JF - Int. J. Oncology Biol. Phys. Y1 - 2003 VL - 55 IS - 2 SP - 407 EP - 419 ER -