Reports


2010
J. Schöberl, R. Simon, W. Zulehner: A Robust Multigrid Method for Elliptic Optimal Control Problems. NuMa-Report No. 2010-01, University Linz, Institute of Computational Mathematics, Linz, Austria, January 2010.
P.G. Gruber: Adaptive Strategies for High Order FEM in Elastoplasticity. NuMa-Report No. 2010-02, University Linz, Institute of Computational Mathematics, Linz, Austria, March 2010.
C. Pechstein, R. Scheichl: Weighted Poincaré inequalities for high contrast coefficients. In: Computational Electromagnetism and Acoustics, Oberwolfach Report No. 10/2010, Mathematisches Forschungsinstitut Oberwolfach, Germany, February 2010, pp. 70–73.
2009
C. Pechstein, R. Scheichl: Scaling Up through Domain Decomposition. NuMa-Report No. 2009-01, University Linz, Institute of Computational Mathematics, Linz, Austria, January 2009.
C. Hofreither, U. Langer, S. Tomar: Boundary Element Simulation of Linear Water Waves in a Model Basin. NuMa-Report No. 2009-02, University Linz, Institute of Computational Mathematics, Linz, Austria, March 2009.
H. Yang, W. Zulehner: Numerical Simulation of Fluid-Stucture Interaction Problems on Hybrid Meshes with AMG. NuMa-Report No. 2009-03, University Linz, Institute of Computational Mathematics, Linz, Austria, April 2009.
C. Pechstein, R. Scheichl: Analysis of FETI Methods for Multiscale PDEs - Part II: Interface Variation. NuMa-Report No. 2009-04, University Linz, Institute of Computational Mathematics, Linz, Austria, April 2009.
A.M. Matsokin, S.V. Nepomnyaschikh: Domain Decomposition Preconditioning for Well Models for Reservoir Problems. NuMa-Report No. 2009-05, University Linz, Institute of Computational Mathematics, Linz, Austria, June 2009.
H. Gfrerer: Generalized Penalty Methods for a Class of Convex Optimization Problems with Pointwise Inequality Constraints. NuMa-Report No. 2009-06, University Linz, Institute of Computational Mathematics, Linz, Austria, July 2009.
U. Langer, H. Yang, W. Zulehner: A Grid-enabled Solver for the Fluid-Structure Interaction (FSI) Problem. NuMa-Report No. 2009-07, University Linz, Institute of Computational Mathematics, Linz, Austria, August 2009.
S. Takacs, W. Zulehner: Multigrid Methods for Elliptic Optimal Control Problems with Neumann Boundary Control. NuMa-Report No. 2009-08, University Linz, Institute of Computational Mathematics, Linz, Austria, October 2009.
D.M. Copeland, U. Langer: Domain Decomposition Solvers for Nonlinear Multiharmonic Finite Element Equations. NuMa-Report No. 2009-09, University Linz, Institute of Computational Mathematics, Linz, Austria, November 2009.
H. Yang, W. Zulehner: A Newton Based Fluid-Structure Interaction Solver with Algebraic Multigrid Methods on Hybrid Meshes. NuMa-Report No. 2009-10, University Linz, Institute of Computational Mathematics, Linz, Austria, November 2009.
P.G. Gruber, D. Knees, S. Nesenenko, M. Thomas: Analytical and Numerical Aspects of Time-dependent Models with Internal Variables. NuMa-Report No. 2009-11, University Linz, Institute of Computational Mathematics, Linz, Austria, November 2009.
C. Pechstein, R. Scheichl: Weighted Poincaré Inequalities and Applications in Domain Decomposition. NuMa-Report No. 2009-12, University Linz, Institute of Computational Mathematics, Linz, Austria, November 2009.
D.M. Copeland, M. Kolmbauer, U. Langer: Domain Decomposition Solvers for Frequency-Domain Finite Element Equations. NuMa-Report No. 2009-13, University Linz, Institute of Computational Mathematics, Linz, Austria, Dezember 2009.
C. Pechstein: Shape-Explicit Constants for Some Boundary Integral Operators. NuMa-Report No. 2009-14, University Linz, Institute of Computational Mathematics, Linz, Austria, Dezember 2009.
P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: Fast Solvers and A Posteriori Error Estimates in Elastoplasticity. NuMa-Report No. 2009-15, University Linz, Institute of Computational Mathematics, Linz, Austria, Dezember 2009.
2007
R. Simon, W. Zulehner: On Schwarz-type Smoothers for Saddle Point Problems with Applications to PDE-Constrained Optimization Problems, ed. by H.W. Engl and U. Langer. SFB-Report No. 07-1, University Linz, SFB F013, Linz, Austria, January 2007.
P. Gruber, J. Valdman: Newton-like solver for elastoplastic problems with hardening and its local super-linear convergence, ed. by U. Langer and J. Schöberl. SFB-Report No. 07-6, University Linz, SFB F013, Linz, Austria, March 2007.
C. Pechstein: Analysis of dual and dual-primal tearing and interconnecting methods in unbounded domains, ed. by B. Jüttler and U. Langer. SFB-Report No. 07-15, University Linz, SFB F013, Linz, Austria, August 2007.
W. Elleithy: Elasto-Plastic Analysis with an Adaptive FEM-BEM Coupling Method, ed. by U. Langer and E. Lindner. SFB-Report No. 07-17, University Linz, SFB F013, Linz, Austria, August 2007.
2006
U. Langer, C. Pechstein: Coupled Finite and Boundary Element Tearing and Interconnecting Methods Applied to Nonlinear Potential Problems, ed. by B. Jüttler and E. Lindner. SFB-Report No. 06-1, University Linz, SFB F013, Linz, Austria, January 2006.
P. Gruber, J. Valdman: New Numerical Solver for Elastoplastic Problem based on the Moreau-Yosida Theorem, ed. by H.W. Engl and U. Langer. SFB-Report No. 06-5, University Linz, SFB F013, Linz, Austria, February 2006.
A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, J. Schöberl: Hypergeometric Summation Algorithms for High Order Finite Elements, ed. by B. Buchberger and U. Langer. SFB-Report No. 06-8, University Linz, SFB F013, Linz, Austria, March 2006.
R. Stainko: An Optimal Solver for a KKT-System arising from an Interior-Point Formulation of a Topology Optimization Problem, ed. by M. Burger and U. Langer. SFB-Report No. 06-10, University Linz, SFB F013, Linz, Austria, April 2006.
S. Gerhold, M. Kauers, J. Schöberl: On a conjectured inequality for a sum of Legendre polynomials, ed. by P. Paule and U. Langer. SFB-Report No. 06-11, University Linz, SFB F013, Linz, Austria, April 2006.
U. Langer, H. Yang: A Parallel Solver for the 3D Incompressible Naiver-Stokes Equations on the Austrian Grid , ed. by B. Jüttler and E. Lindner. SFB-Report No. 06-12, University Linz, SFB F013, Linz, Austria, April 2006.
2005
W. Zulehner: Uzawa-type Methods for Block-Structured Indefinite Linear Systems, ed. by H.W. Engl and U. Langer. SFB-Report No. 05-5, University Linz, SFB F013, Linz, Austria, March 2005.
U. Langer, J. Schöberl, S. Zaglmayr: Eigenvalue Problems in Surface Acoustic Wave Filter Simulations , ed. by B. Jüttler and E. Lindner. SFB-Report No. 05-6, University Linz, SFB F013, Linz, Austria, March 2005.
H. Gfrerer: Second-Order Optimality Conditions for Nonlinear Optimization Problems: The Degenerate Case, ed. by M. Burger and U. Langer. SFB-Report No. 05-14, University Linz, SFB F013, Linz, Austria, September 2005.
G. Haase, M. Liebmann: A Hilbert-Order Multiplication Scheme for Unstructured Sparse Matrices. Report No. 3/2005, University of Graz, Institute for Mathematics and Scientific Computing, Graz, Austria, October 2005.
J. Melenk, C. Pechstein, J. Schöberl, S. Zaglmayr: Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements. RICAM-Report No. 2005-11, University Linz, Austrian Academy of Sciences, Linz, Austria, 2005.
U. Langer, D. Pusch: Convergence Analysis of Geometric Multigrid Methods for Solving Data-Sparse Boundary Element Equations. RICAM-Report No. 2005-16, University Linz, Austrian Academy of Sciences, Linz, Austria, 2005.
C. Carstensen, A. Orlando, J. Valdman: A convergent adaptive finite element method for the primal problem of elastoplasticity. Preprint No. 2005-12, Humboldt University of Berlin, Institute of Mathematics, Berlin, Germany, 2005.
2004
F. Bachinger, U. Langer, J. Schöberl: Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems, ed. by H.W. Engl and E. Lindner. SFB-Report No. 04-1, University Linz, SFB F013, Linz, Austria, January 2004.
M. Wabro: AMGe - Coarsening Strategies and Application to the Oseen Equations, ed. by M. Burger and U. Langer. SFB-Report No. 04-12, University Linz, SFB F013, Linz, Austria, June 2004.
B. Jüttler, C. Pechstein: Monotonicity-preserving Interproximation of B-H-curves, ed. by U. Langer and J. Schicho. SFB-Report No. 04-15, University Linz, SFB F013, Linz, Austria, August 2004.
F. Bachinger, U. Langer, J. Schöberl: Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems , ed. by M. Burger and B. Jüttler. SFB-Report No. 04-16, University Linz, SFB F013, Linz, Austria, August 2004.
R. Stainko: An Adaptive Multilevel Approach to the Minimal Compliance Problem in 3D Topology Optimization, ed. by M. Burger and U. Langer. SFB-Report No. 04-20, University Linz, SFB F013, Linz, Austria, September 2004.
U. Langer, A. Pohoata, O. Steinbach: Application of Preconditioned Coupled FETI/BETI Solvers to 2D Magnetic Field Problems . ed. by B. Jüttler and E. Lindner. SFB-Report No. 04-23, University Linz, SFB F013, Linz, Austria, September 2004.
U. Langer, D. Pusch: Comparison of Geometrical and Algebraic Multigrid Preconditioners for Data-Sparse Boundary Element Matrices. SFB-Report No. 04-24, University Linz, SFB F013, Linz, Austria, 2004.
M. Burger, R. Stainko: Phase-Field Relaxation of Topology Optimization with Local Stress Constraints, ed. by B. Jüttler and U. Langer. SFB-Report No. 04-35, University Linz, SFB F013, Linz, Austria, December 2004.
D. Lukáš: Progress Report on Topology and Shape Optimization in Magnetostatics, ed. by M. Burger and U. Langer. SFB-Report No. 04-40, University Linz, SFB F013, Linz, Austria, December 2004.
2003
M. Wabro: Coupled Algebraic Multigrid Methods for the Oseen Problem, ed. by U. Langer and E. Lindner. SFB-Report No. 03-2, University Linz, SFB F013, Linz, Austria, February 2003.
G. Haase, E. Lindner, W. Mühlhuber, C. Rathberger: Optimal Sizing and Shape Optimization in Structural Mechanics, ed. by B. Jüttler and U. Langer. SFB-Report No. 03-6, University Linz, SFB F013, Linz, Austria, May 2003.
R. Stainko: A Multilevel Approach to the Minimal Compliance Problem in Topology Optimization, ed. by B. Jüttler and U. Langer. SFB-Report No. 03-14, University Linz, SFB F013, Linz, Austria, September 2003.
U. Langer, O. Steinbach: Coupled Boundary and Finite Element Tearing and Interconnecting Methods. SFB-Report No. 03-45, University Linz, SFB F013, Linz, Austria, 2003.
S. Beuchler, J. Schöberl: Extension operators on tensor product structures in 2D and 3D. RICAM-Report No. 2003-01, University Linz, Austrian Academy of Sciences, Linz, Austria, December 2003.
2002
S. Reitzinger, U. Schreiber and U. van Rienen: Algebraic Multigrid for Complex Symmetric Matrices: Numerical Studies. SFB-Report No. 02-01, University Linz, SFB F013, Linz, Austria, 2002.
U. Langer, S. Reitzinger, J. Schicho: Symbolic Methods for the Element Preconditioning Technique. SFB-Report No. 02-03, University Linz, SFB F013, Linz, Austria, 2002.
2001
M. Kuhn, O. Steinbach: Symmetric Coupling of Finite and Boundary Elements for Exterior Magnetic Field Problems. Mehrfeldprobleme in der Kontinuumsmechanik, Bericht 2001/05 des Sonderforschungsbereichs 404 der Universität Stuttgart, ISSN 0949-2046, May 2001.
B. Kaltenbacher, M. Kaltenbacher, S. Reitzinger: Identification of Nonlinear B-H Curves based on Magnetic Field Computations and Multigrid Methods for ill-posed Problems. SFB-Report No. 01-17, University Linz, SFB F013, Linz, Austria, 2001.
M. Burger, W. Mühlhuber: Iterative Regularization of Parameter Identification Problems by SQP Methods. SFB-Report No. 01-18, University Linz, SFB F013, Linz, Austria, 2001.
M. Burger, W. Mühlhuber: Numerical Approximation of an SQP-type Method for Parameter Identification. SFB-Report No. 01-19, University Linz, SFB F013, Linz, Austria, 2001.
A. Anwander, M. Kuhn, S. Reitzinger, C. Wolters: A Parallel Algebraic Multigrid Solver for the Finite Element Method based Source Localization in the Human Brain. SFB-Report No. 01-21, University Linz, SFB F013, Linz, Austria, 2001.
Craig. C. Douglas, Gundolf Haase, Mohamed Iskandarini: An Additive Schwarz Preconditioner for the Spectral Element. SFB-Report No. 01-22, University Linz, SFB F013, Linz, Austria, 2001.
U. Langer, D. Pusch, S. Reitzinger: An Efficient Preconditioner for Boundary Element Matrices based on Algebraic Multigrid Methods. SFB-Report No. 01-30, University Linz, SFB F013, Linz, Austria, 2001.


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