Peter Arbenz: Selected publications

H. Guo, B. Oswald, P. Arbenz: "3-dimensional eigenmodal analysis of plasmonic nanostructures". Accepted for publication in Optics Express.
C. Kraus, A. Adelmann, P. Arbenz: "Perfectly matched layers in a divergence preserving ADI scheme for electromagnetics". J. Comput. Phys. 231 (1): 39-44 (2012), doi:10.1016/j.jcp.2011.08.016.
P. Arbenz, A. Hiltebrand, D. Obrist: "A parallel space-time finite difference solver for periodic solutions of the shallow-water equation". Accepted for publication in the proceedings of 9th International Conference on Parallel Processing and Applied Mathematics (PPAM 2011), Torun, Poland, September 11-14, 2011.
P. Arbenz, C. Flaig: A highly scalable matrix-free multigrid solver for μFE analysis based on a pointer-less octree". In Large Scale Scientific Computing LSSC'11. I. Lirkov, S. Margenov, and J. Waśniewski (eds.). Lecture Notes in Computer Science 7116, pp. 498-506. Springer, Heidelberg, 2012.
P. Arbenz, Y. Saad, A. Sameh, O. Schenk:: "Guest editorial: Special issue on Parallel Matrix Algorithms and Applications (PMAA'10)". Parallel Computing 37 (12): 731-732 (2011), doi:10.1016/j.parco.2011.10.011.
C. Flaig, P. Arbenz: "A scalable memory efficient multigrid solver for micro-finite element analyses based on CT images". Parallel Computing 37 (12): 846-854 (2011), doi:10.1016/j.parco.2011.08.001.
A. Adelmann, P. Arbenz, Y. Ineichen: "Improvements of a fast parallel Poisson solver on irregular domains". In Applied Parallel and Scientific Computing (PARA 2011). J. Kristjan (ed.). Lecture Notes in Computer Science 7133, pp. 65-74. Springer, Heidelberg, 2012.
A.J. Wirth, J. Goldhahn, C. Flaig, P. Arbenz, R. Müller, G.H. van Lenthe: "Implant stability is affected by local bone microstructural quality". Bone 49 (3): 473-478 (2011), doi:10.1016/j.bone.2011.05.001.
D. Obrist, R. Henniger, P. Arbenz: "Parallelization of the time integration for time-periodic flow problems". Proc. Appl. Math. Mech. 10 (1): 567-568 (2010), doi:10.1002/pamm.201010276.
A. Adelmann, P. Arbenz, Y. Ineichen: "A Fast Parallel Poisson Solver on Irregular Domains Applied to Beam Dynamic Simulations", J. Comput. Phys. 229 (12): 4554-4566 (2010), doi:10.1016/j.jcp.2010.02.022.
C. Bekas, A. Curioni, P. Arbenz, C. Flaig, G.H. van Lenthe, R. Müller, A.J. Wirth: "Extreme scalability challenges in micro-finite element simulations of human bone". Concurrency and Computation: Practice and Experience 22 (16): 2282-2296 (2010), doi:10.1002/cpe.1591.
A.J. Wirth, Th.L. Mueller, W. Vereecken, C. Flaig, P. Arbenz, R. Müller, G.H. van Lenthe: "Mechanical competence of bone-implant systems can accurately be determined by image-based micro-finite element analyses". Arch. Appl. Mech. 80 (5): 513-525 (2010), doi:10.1007/s00419-009-0387-x.
P. Arbenz, J. Bryner, Ch. Tobler: "Parallelized transient elastic wave propagation in orthotropic structures". In Parallel Processing and Applied Mathematics (PPAM 09). R. Wyrzykowski, J. Dongarra, K. Karczewski, and J. Waśniewski (eds.). Lecture Notes in Computer Science 6068, pp.310-319. Springer, Berlin, 2010, doi:10.1007/978-3-642-14403-5_33.
S. Paranjape, M. Kaufmann, P. Arbenz: "WebParFE: a Web Interface for the High-Performance Parallel Finite Element Solver ParFE". Technical Report 654, Chair of Computational Science, ETH Zürich, December 2009.
P. Arbenz, M. van Gijzen, P. Amestoy, and P. D'Ambra: "Parallel Numerical Algorithms: Introduction". In Euro-Par 2009 Parallel Processing. H.J. Sips, D.H.J. Epema, and H.-X. Lin (eds.) Lecture Notes in Computer Science 5704 , pp.719-720. Springer, Berlin, 2009, doi:10.1007/978-3-642-03869-3_67.
P. Arbenz, R. Müller: "Microstructural Finite Element Analysis of Human Bone Structures". ERCIM News 74, pp. 31-32, July 2008.
Ch. Vömel, R.G. Vepřek, U. Weber, P. Arbenz: "Iterative Solution of Generalized Eigenvalue Problems from Optoelectronics with Trilinos". Technical Report 598, Institute of Computational Science, ETH Zürich, June 2008.
P. Arbenz, G.H. van Lenthe, U. Mennel, R. Müller, M. Sala: "A Scalable Multi-level Preconditioner for Matrix-Free μ-Finite Element Analysis of Human Bone Structures". Internat. J. Numer. Methods Engrg. 73 (7): 927-947 (2008), doi:10.1002/nme.2101.
P. Arbenz, C. Flaig: "On Smoothing Surfaces in Voxel Based Finite Element Analysis of Trabecular Bone". In Large Scale Scientific Computing LSSC'07. I. Lirkov, S. Margenov, and J. Waśniewski (eds.). Lecture Notes in Computer Science 4818. pp.69-77. Springer, Berlin, 2008.
F. Römer, B. Witzigmann, O. Chinellato, and P. Arbenz: "Investigation of the Purcell effect in photonic crystal cavities with a 3D Finite Element Maxwell Solver". Optical and Quantum Electronics 39 (4-6): 341-352 (2007), doi:10.1007/s11082-007-9089-1.
P. Arbenz and O. Chinellato: "On solving complex-symmetric eigenvalue problems arising in the design of axisymmetric VCSEL devices". Appl. Numer. Math. 58 (4): 381-394 (2008), doi:10.1016/j.apnum.2007.01.019
P. Arbenz, S. D. Margenov, and Y. Vutov: "Parallel MIC(0) Preconditioning of 3D Elliptic Problems Discretized by Rannacher-Turek Finite Elements". Computers and Mathematics with Applications 55 (10): 2197-2211 (2008), doi:10.1016/j.camwa.2007.11.013
P. Arbenz, G. H. van Lenthe, U. Mennel, R. Müller, and M. Sala: "Multi-level μ-Finite Element Analysis for Human Bone Structures". In Applied Parallel Computing: State of the Art in Scientific Computing. B. Kågström, E. Elmroth, J. Dongarra, and J. Waśniewski (eds.). Lecture Notes in Computer Science 4699 , pp.240-250. Springer, Berlin, 2007, doi:10.1007/978-3-540-75755-9_30.
P. Arbenz, M. Bečka, R. Geus, U. L. Hetmaniuk, and T. Mengotti: "On a Parallel Multilevel Preconditioned Maxwell Eigensolver". Parallel Computing, 32 (2): 157-165 (2006).
P. Arbenz, U. L. Hetmaniuk, R. B. Lehoucq, and R. S. Tuminaro: "A Comparison of Eigensolvers for Large-scale 3D Modal Analysis using AMG-Preconditioned Iterative Methods". Internat. J. Numer. Methods Engrg. 64 (2): 204-236 (2005).
P. Arbenz, H. Burkhart, E. Maehle, and O. Schenk: "SPEEDUP Workshop on Modern algorithms in computational science and information technology (editorial)". Future Generation Computer Systems 21 (8): 1249-1250 (2005).
O. Chinellato, P. Arbenz, M. Streiff, and A. Witzig: "Computation of Optical Modes Inside Axisymmetric Open Cavity Resonators". Future Generation Computer Systems 21 (8): 1263-1274 (2005).
P. Arbenz and R. Geus: "Multilevel preconditioned iterative eigensolvers for Maxwell eigenvalue problems". Appl. Numer. Math. 54 (2): 107-121 (2005).
P. Arbenz, M. Bečka, R. Geus, and U. L. Hetmaniuk: "Towards a Parallel Multilevel Preconditioned Maxwell Eigensolver". In PARA'04: Workshop on the State-of-the-Art in Scientific Computing, J. Dongarra, K. Madsen, and J. Waśniewski (eds.). Lecture Notes in Computer Science 3732 , pp.831-838. Springer, Berlin, 2005.
P. Arbenz and S. D. Margenov: "Parallel MIC(0) preconditioning of 3D nonconforming FEM systems". Iterative Methods, Preconditioning and Numerical PDEs, Proceedings of IMET Conference, Prague, 2004, pp. 12-15.
P. Arbenz and M. E. Hochstenbach: "A Jacobi-Davidson Method for Solving Complex-Symmetric Eigenvalue Problems". SIAM J. Sci. Comput. 25 (5): 1655-1673 (2004).
P. Arbenz, Efstratios Gallopoulos, Bernard Philippe, and Yousef Saad : "Parallel Matrix Algorithms and Applications (PMAA '02)" (Guest editorial). Parallel Computing, 29 (9): 1117-1119 (2003).
R. Geus and P. Arbenz: "PySparse and PyFemax: A Python framework for large scale sparse linear algebra". Contributed paper at PyCon03, Washington DC, USA, 26-28 March, 2003.
P. Arbenz and T. Braun: "SPEEDUP workshop on distributed computing and high-speed networks" (Guest editorial). Future Generation Computer Systems, 19 (1): 99-100 (2003).
P. Arbenz and Z. Drmač: "On Positive Semidefinite Matrices with Known Null Space". SIAM J. Matrix Anal. Appl. 24 (1): 132-149 (2002).
P. Arbenz: "A Comparison of Factorization-free Eigensolvers with Application to Cavity Resonators". In Computational Science - ICCS 2002, P.M.A. Sloot, C.J.K. Tan, J.J. Dongarra, and A.G. Hoekstra (eds.). Springer, Berlin, 2002, pp. 295-304. (Lecture Notes in Computer Science, 2331)
P. Arbenz, R. Geus, and St. Adam: Solving Maxwell Eigenvalue Problems for Accelerating Cavities, Phys. Rev. ST Accel. Beams, 4: 022001, 2001, doi:10.1103/PhysRevSTAB.4.022001.
P. Arbenz: "A Note on ScaLAPACK's Banded System Solvers". Proceedings of the 16th IMACS World Congress 2000 on Scientific Computation, Applied Mathematics and Simulation (IMACS2000), M. Deville and R. Owens (eds.). 6 pages. (Compact Disc)
P. Arbenz, O. Bröker, O. Chinellato, W. Gander, R. Geus, and R. Strebel: "A comparison of numerical implementations of the eigenstate expansion method for quantum molecular dynamics simulations". Technical Report 333, Institute of Scientific Computing, ETH Zürich, January 2000. ( pdf-file).
P. Arbenz: "Towards an efficient implementation of the eigenstate expansion method for quantum molecular dynamics simulations". In Large-Scale Scientific Computations of Engineering and Environmental Problems II, M. Griebel, S. Margenov, and P. Yalamov (eds.). Notes on Numerical Fluid Mechanics, vol. 73. Vieweg, 2000, pp. 119-127.
P. Arbenz, A. Cleary, J. Dongarra, and M. Hegland: "A Comparison of Parallel Solvers for Diagonally Dominant and General Narrow-Banded Linear Systems II". In EuroPar '99 Parallel Processing, P. Amestoy, Ph. Berger, M. Daydé, I. Duff, V. Frayssé, L. Giraud, and D. Ruiz (eds.). Springer, Berlin, 1999, pp. 1078-1087. (Lecture Notes in Computer Science, 1685) Also available as Technical Report CS-99-415, Computer Science Department, University of Tennessee at Knoxville, May 1999. (LAPACK Working Note No. 143, ps-file).
P. Arbenz and R. Geus: "Two-level hierarchical basis preconditioners for computing eigenfrequencies of cavity resonators with the finite element method". In Recent Advances in Numerical Methods and Applications, O. P. Iliev, M. S. Kaschiev, S. D. Margenov, B. H. Sendov, and P. S. Vassilevski (eds.). World Scientific, Singapore, 1999, pp. 151-160
P. Arbenz and R. Geus: "Eigenvalue Solvers for Electromagnetic Fields in Cavities". In High Performance Scientific and Engineering Computing, H.-J. Bungartz, F. Durst, and Chr. Zenger (eds.). Springer, Berlin, 1999, pp. 363-373. (Lecture Notes in Computational Science and Engineering, 8)
P. Arbenz, A. Cleary, J. Dongarra, and M. Hegland: "A Comparison of Parallel Solvers for Diagonally Dominant and General Narrow-Banded Linear Systems". Parallel and Distributed Computing Practices 2, 385-400 (1999).
Also available as Technical Report CS-99-414, Computer Science Department, University of Tennessee at Knoxville, February 1999. (LAPACK Working Note No. 142, ps-file/ pdf-file).
P. Arbenz and R. Geus: "A Comparison of Solvers for Large Eigenvalue Problems Occuring in the Design of Resonant Cavities". Numerical Linear Algebra with Applications, 6, 3-16, 1999.
P. Arbenz and M. Hegland: "On the Stable Parallel Solution of General Narrow Banded Linear Systems", In High Performance Algorithms for Structured Matrix Problems, P. Arbenz, M. Paprzycki, A. Sameh, and V. Sarin (eds.). Nova Science Publishers, Commack NY, 1998. pp. 47-73.
P. Arbenz and R. Geus: "Parallel Solvers for Large Eigenvalue Problems Originating from Maxwell's Equations". In EuroPar '98: Parallel Processing, D. Pritchard, J. Reeve (eds.). Springer, Berlin, 1998, pp. 771-779. (Lecture Notes in Computer Science, 1470)
P. Arbenz, W. Gander, and M. Oettli: "The Remote Computation System". Parallel Computing 23: 1421-1428, 1997.
P. Arbenz and M. Hegland: "The stable parallel solution of narrow banded linear systems". In Proceedings of the Eighth SIAM Conference on Parallel Processing for Scientific Computing, M. Heath, V. Torczon, G. Astfalk, P. E. Bjorstad, A. H. Karp, C. H. Koelbel, V. Kumar, R. F. Lucas, L. T. Watson, and D. E. Womble (eds.). SIAM, Philadelphia, 1997. 8 pages. (Compact Disc)
P. Arbenz, M. Billeter, P. Güntert, P. Luginbühl, M. Taufer, and U. von Matt: "Molecular Dynamics Simulations on Cray Clusters using the SCIDDLE-PVM Environment". In Parallel Virtual Machine - EuroPVM '96, A. Bode, J. Dongarra, T. Ludwig, and V. Sunderam (eds.). Springer-Verlag, Berlin, 1996, pp. 142-149. (Lecture Notes in Computer Science, 1156)
P. Arbenz: "On Experiments with a Parallel Direct Solver for Diagonally Dominant Banded Linear Systems". In EuroPar '96 - Parallel Processing, L. Bougé, P. Fraigniaud, A. Mignotte, and Y. Robert (eds.). Springer-Verlag, Berlin, 1996, pp. 11-21. (Lecture Notes in Computer Science, 1124)
P. Arbenz, W. Gander, H. P. Lüthi, and U. von Matt: "Sciddle 4.0, or, Remote Procedure Calls in PVM". In High Performance Computing and Networking, H. Liddell, A. Colbrook, B. Hertzberger, and P. Sloot (eds.). Springer-Verlag, Berlin, 1996, pp. 820-825. (Lecture Notes in Computer Science, 1067)
P. Arbenz and W. Gander: "Direct Parallel Algorithms for Banded Linear Systems". Z. Angew. Math. Mech. 76, Suppl. 1: 119-122, 1996.
P. Arbenz and I. Slapnicar: "On an Implementation of a One-sided Block Jacobi Method on a Distributed Memory Computer". Z. Angew. Math. Mech. 76, Suppl. 1: 343-344, 1996.
P. Arbenz and G. H. Golub : "Matrix Shapes Invariant under the Symmetric QR Algorithm", Numerical Linear Algebra with Applications 2: 87-93, 1995.
T. Saito, K. Joe, H. P. Lüthi, P. Arbenz, A. Fukuda, and K. Araki, "An Analysis of the SCIDDLE Library on a Workstation Cluster: A Step Towards The Next Generation of Supercomputing" in PDSC'95, Proceedings of the International Symposium on Parallel and Distributed Supercomputing, Fukuoka, Japan, September 1995, pp. 104-111.
V. Strumpen and P. Arbenz: "Improving Scalability by Communication Latency Hiding", In 7th SIAM Conference on Parallel Processing for Scientific Computing, 778-779, San Francisco, USA, February 1995, SIAM.
P. Arbenz and C. Sprenger, H. P. Lüthi, and S. Vogel: "SCIDDLE: A Tool for Large Scale Distributed Computing", Concurrency: Practice and Experience 7: 121-146, 1995.
P. Arbenz and K. Gates: "A Note on Divide and Conquer Algorithm for the Symmetric Tridiagonal Eigenvalue Problem", Z. Angew. Math. Mech. 74: T529-T531, 1994.
L. Adams, and P. Arbenz: "Towards a Divide and Conquer Algorithm for the Real Nonsymmetric Eigenvalue Problem", SIAM J. Matrix Anal. Appl. 15: 1333-1353, 1994.
P. Arbenz: "Divide and Conquer Algorithms for the Bandsymmetric Eigenvalue Problem", Parallel Computing 18: 1105-1128, 1992.
P. Arbenz, H. P. Lüthi, J. E. Mertz, and W. Scott: "Applied Distributed Supercomputing in Homogeneous Networks", International Journal of High Speed Computing 4: 87-108, 1992.
P. Arbenz and G. H. Golub: "On the Spectral Decomposition of Hermitian Matrices Modified by Low Rank Perturbations with Applications", SIAM J. Matrix Anal. Appl. 9: 40-58, 1988.

Last update: Dec 1, 2011