Applications and Software that Use SLEPc

The following is a list of applications and publications on applications developed by SLEPc users. If you want your application to be included in this list please contact us at . This list helps us demonstrate to our sponsors the usefulness of our work, so additional entries help us to continue developing, improving, and supporting SLEPc.

Software that Interface to SLEPc

  1. slepc4py: python bindings for SLEPc.
  2. FEniCS: a toolkit for the Automation of Computational Mathematical Modeling (ACMM).
  3. libMesh: a C++ framework for the numerical simulation of partial differential equations.
  4. deal.II: a finite element Differential Equations Analysis Library.
  5. PHAML: adaptive finite elements for elliptic PDEs.
  6. OOFEM: an Object Oriented Finite Element code.
  7. PHG: Parallel Hierarchical Grid, an adaptive mesh refinement FEM framework.
  8. Feel++: a C++ library for partial differential equation solves using generalized Galerkin methods.
  9. Elefant: Efficient Learning, Large-scale Inference, and Optimisation Toolkit.
  10. TiberCAD: Multiscale Device Simulator.
  11. GENE: Gyrokinetic Electromagnetic Numerical Experiment.
  12. NEMO5: NanoElectronics MOdeling Tools, which is the basis of other tools such as Quantum Dot Lab.
  13. GYRO: The General Atomics TGYRO Code Suite.
  14. DoQO: Diagonalisation of Quantum Observables.
  15. SALSA: Self-Adapting Large-scale Solver Architecture.
  16. OpenCMISS: Open Continuum Mechanics, Imaging, Signal processing and System identification.
  17. Milonga: a free nuclear reactor core analysis code.
  18. Cubica: a toolkit for subspace deformations.
  19. Dome: a power system analysis toolbox.

Nuclear Engineering

  1. Simulating control rod and fuel assembly motion using moving meshes, D. Gilbert et al., Ann. Nucl. Energy 35(2), 291-303, 2008.
  2. High-order spatio-temporal schemes for coupled, multi-physics reactor simulations, V. S. Mahadevan and J. C. Ragusa, Tech. Rep., 2008.
  3. Verification of multiphysics software: space and time convergence studies for nonlinearly coupled applications, V. Mahadevan et al., Tech. Rep., 2009.
  4. 3D alpha modes of a nuclear power reactor, G. Verdú et al., J. Nucl. Sci. Technol. 47, 501-514, 2010.
  5. Neutronic / thermalhydraulic coupling techniques for sodium cooled fast reactor simulations, J. Ragusa et al., Tech. Rep., 2010.
  6. Solution of the 2D IAEA benchmark with the neutronic code Milonga, G. Theler et al., Tech. Rep., 2011.
  7. A verification exercise in multiphysics simulations for coupled reactor physics calculations, V. S. Mahadevan et al., Progress in Nuclear Energy 55, 12-32, 2012.

Computational Electromagnetics, Electronics, Photonics

  1. TiberCAD: A new multiscale simulator for electronic and optoelectronic devices, M. Auf der Maur et al., Superlattices and Microstructures 41, 381-385, 2007.
  2. Analysis of the TE-pass or TM-pass metal-clad polarizer with a resonant buffer layer, G. Li and A. Xu, J. Lightwave Tech. 26(10), 1234-1241, 2008.
  3. Bend performance-enhanced photonic crystal fibers with anisotropic numerical aperture, B. G. Ward, Opt. Express 16, 8532-8548, 2008.
  4. Spatial structures and information processing in nonlinear optical cavities, A. Jacobo, PhD thesis, 2009.
  5. A software platform for nanoscale device simulation and visualization, M. Gayer and G. Iannaccone, Tech. Rep., 2009.
  6. Preconditioning bandgap eigenvalue problems in three-dimensional photonic crystals simulations, T.-M. Huang et al., J. Comput. Phys. 229(23), 8684-8703, 2010.
  7. Design and numerical modelling of integrated optical components, W. Smigaj, PhD thesis, 2010.
  8. Solid-core photonic bandgap fibers for cladding-pumped Raman amplification, B. Ward, Opt. Express 19(12), 11852-11866, 2011.
  9. Complex k band diagrams of 3D metamaterial/photonic crystals, C. Fietz et al., Opt. Express 19(20), 19027-19041, 2011.
  10. The multiscale paradigm in electronic device simulation, M. Auf der Maur et al., IEEE Trans. Electron Devices 58(5), 1425-1432, 2011.
  11. Coupled mode equation modeling for out-of-plane gap solitons in 2D photonic crystals, T. Dohnal and W. Dörfler, arXiv preprint, 2012.

Plasma Physics

  1. Equilibrium and stability of tokamak plasmas with arbitrary flow, L. Guazzotto, PhD thesis, 2005.
  2. Exceptional points in linear gyrokinetics, M. Kammerer et al., Phys. Plasmas 15, 2008.
  3. Gyrokinetic simulation of multimode plasma turbulence, F. Merz, PhD thesis, 2009.
  4. Multiscale effects in plasma microturbulence, T. Görler, PhD thesis, 2009.
  5. Fast eigenvalue calculations in a massively parallel plasma turbulence code, J. E. Roman et al., Parallel Comput. 36(5-6), 339-358, 2010.
  6. Gyrokinetic simulations of mesoscale energetic particle driven Alfvénic turbulent transport embedded in microturbulence, E. M. Bass and R. E. Waltz, Phys. Plasmas 17, 2010.
  7. Gyrokinetic simulations of energetic particle-driven TAE/EPM transport embedded in ITG/TEM microturbulence, E. M. Bass and R. E. Waltz, Tech. Rep., 2010.
  8. Local and global Eulerian gyrokinetic simulations of microturbulence in realistic geometry with applications to the TCV tokamak, X. Lapillonne, PhD thesis, 2010.
  9. Non-linear gyrokinetic simulations of microturbulence in TCV electron internal transport barriers, X. Lapillonne et al., Plasma Phys. Control. Fusion 53, 054011, 2011.
  10. Computing subdominant unstable modes of turbulent plasma with a parallel Jacobi-Davidson eigensolver, E. Romero and J. E. Roman, Concurr. Comp.-Pract. E. 23, 2179-2191, 2011.
  11. Linear eigenvalue code for edge plasma in full tokamak X-point geometry, D. A. Baver et al., Comput. Phys. Commun. 182(8), 1610-1620, 2011.
  12. The global version of the gyrokinetic turbulence code GENE, T. Görler et al., J. Comput. Phys. 230(18), 7053-7071, 2011.
  13. Multi-dimensional gyrokinetic parameter studies based on eigenvalue computations, F. Merz et al., Comput. Phys. Commun. 183(4), 922-930, 2012.
  14. Linear properties of reversed shear Alfvén eigenmodes in the DIII-D tokamak, W. Deng et al., Nucl. Fusion 52, 043006, 2012.

Astrophysics

  1. Periodic magnetorotational dynamo action as a prototype of nonlinear magnetic-field generation in shear flows, J. Herault et al., Phys. Rev. E 84, 036321, 2011.

Computational Physics, Materials Science, Electronic Structure

  1. Advanced software for the calculation of thermochemistry, kinetics, and dynamics, D. M. Medvedev et al., J. Phys.: Conf. Ser. 16, 247-251, 2005.
  2. A wavelet based sparse grid method for the electronic Schrödinger equation, M. Griebel and J. Hamaekers, Tech. Rep., 2006.
  3. Rapidly rotating boson molecules with long or short range repulsion: an exact diagonalization study, L. O. Baksmaty et al., Phys. Rev. A 75, 2007.
  4. Sparse grids for the Schrödinger equation, M. Griebel and J. Hamaekers, ESAIM-Math. Model. Numer. Anal. 41(2), 215-247, 2007.
  5. Spectrum of the non-abelian phase in Kitaev's honeycomb lattice model, V. Lahtinen et al., Ann. Phys. 323(9), 2286-2310, 2008.
  6. A stabilized stochastic finite element second-order projection method for modeling natural convection in random porous media, X. Ma and N. Zabaras, J. Comp. Phys. 227(18), 8448-8471, 2008.
  7. Chiral two-dimensional electron gas in a periodic magnetic field, M. Taillefumier et al., Phys. Rev. B 78, 2008.
  8. Discrete sets of Sturmian functions applied to two-electron atoms, J. M. Randazzo et al., Phys. Rev. A 79, 2009.
  9. Theory of hyperspherical Sturmians for three-body reactions, G. Gasaneo et al., J. Phys. Chem. A 113(52), 14573-14582, 2009.
  10. Valence bond states: link models, E. Rico et al., Ann. Phys. 324(9), 1875-1896, 2009.
  11. Numerical exploration of vortex matter in Bose-Einstein condensates, L. O. Baksmaty et al., Math. Comput. Simulat. 80(1), 131-138, 2009.
  12. Tensor product multiscale many-particle spaces with finite-order weights for the electronic Schrödinger equation, J. Hamaekers, PhD thesis, 2009.
  13. Solving the vibrational Schrödinger equation on an arbitrary multidimensional potential energy surface by the finite element method, D. Xu et al., Comput. Phys. Commun. 180(11), 2079-2094, 2009.
  14. Tensor product multiscale many-particle spaces with finite-order weights for the electronic Schrödinger equation, M. Griebel and J. Hamaekers, Z. Phys. Chem. 224(3-4), 527-543, 2010.
  15. A parallel additive Schwarz preconditioned Jacobi-Davidson algorithm for polynomial eigenvalue problems in quantum dot simulation, F.-N. Hwang et al., J. Comput. Phys. 229(8), 2932-2947, 2010.
  16. Collective nuclear excitations with Skyrme-second random-phase approximation, D. Gambacurta et al., Phys. Rev. C 81(5), 054312, 2010.
  17. An efficiency study of polynomial eigenvalue problem solvers for quantum dot simulations, T.-M. Huang et al., Taiwanese J. Math. 14(3A), 999-1021, 2010.
  18. Strategies for h-adaptive refinement for a finite element treatment of harmonic oscillator Schrödinger eigenproblem, T. D. Young and R. Armiento, Commun. Theor. Phys. 53(6), 1017, 2010.
  19. Quantum control of interacting bosons in periodic optical lattice, Analahba Roy and L. E. Reichl, Physica E 42(5), 1627-1632, 2010.
  20. Parallel implementation of the MAGPACK package for the analysis of high-nuclearity spin clusters, E. Ramos et al., Comput. Phys. Commun. 181(12), 1929-1940, 2010.
  21. Nonlinear interactions in microlasers, M. Liertzer and S. Rotter, Tech. Rep., 2010.
  22. The formation of the concertina pattern: experiments, analysis, and numerical simulations, J. Steiner, PhD thesis, 2010.
  23. Numerical investigation of exotic phases in quantum lattice models, N. Moran, PhD thesis, 2010.
  24. Diagonalisation of quantum observables on regular lattices and general graphs, N. Moran et al., Comput. Phys. Commun. 182(4), 1083-1092, 2011.
  25. Adaptive finite element method assisted by stochastic simulation of chemical systems, S. L. Cotter et al., arXiv preprint, 2011.
  26. NEMO5: A parallel multiscale nanoelectronics modeling tool, S. Steiger et al., IEEE T. Nanotechnol. 10(6), 1464-1474, 2011.
  27. A qualitative semi-classical treatment of an isolated semi-polar quantum dot, T. D. Young, J. Phys.: Conf. Ser. 281, 012015, 2011.
  28. Supersymmetric lattice fermions on the triangular lattice: Superfrustration and criticality, L. Huijse et al., arXiv preprint, 2011.
  29. Cluster dynamical mean field theory of quantum phases on a honeycomb lattice, R.-Q. He and Z.-Y. Lu, arXiv preprint, 2011.
  30. UKRmol: a low-energy electron- and positron-molecule scattering suite, J. M. Carr et al., Eur. Phys. J. D 66(2), 58, 2012.
  31. Laser-controlled vibrational heating and cooling of oriented H+2 molecules, T. Niederhausen et al., submitted, 2012.
  32. Time-depedent formalism of double ionization of multielectron atomic targets, F. L. Yip et al., Chem. Phys. (in press), 2012.

Acoustics

  1. Interacción fluido estructura: elementos finitos en acústica, formulación ALE y esquemas staggered, A. M. Castro, tesis de maestría, 2007.
  2. Higher order finite and infinite elements for the solution of Helmholtz problems, J. Biermann et al., Comp. Meth. Appl. Mech. Eng. 198(13-14), 1171-1188, 2009.
  3. The computation of resonances in open systems using a perfectly matched layer, S. Kim and J. E. Pasciak, Math. Comp. 78, 1375-1398, 2009.
  4. Analysis of a PML method applied to computation of resonances in open systems and acoustic scattering problems, S. Kim, PhD thesis, 2009.
  5. Globally enriched substructuring techniques for vibro-acoustic simulation, U. Tabak and D. J. Rixen, Proceedings of SEM Series, vol. 4, 2011.
  6. The finite strip method for acoustic and vibroacoustic problems, J. Poblet-Puig and A. Rodríguez-Ferran, J. Comput. Acoustics 19(4), 353-378, 2011.

Computational Fluid Dynamics

  1. Parallel adaptive finite element methods for problems in natural convection, J. W. Peterson, PhD thesis, 2008.
  2. A study for linear stability analysis of incompressible flows on parallel computers, S.-Y. Chen, MSc thesis, 2009.
  3. A certified reduced basis method for the Fokker-Planck equation of dilute polymeric fluids: FENE dumbbells in extensional flow, D. J. Knezevic and A. T. Patera, SIAM J. Sci. Comput. 32(2), 793-817, 2010.
  4. Parallel pseudo-transient Newton-Krylov-Schwarz continuation algorithms for bifurcation analysis of incompressible sudden expansion flows, C.-Y. Huang and F.-N. Hwang, Appl. Numer. Math. 60(7), 738-751, 2010.
  5. Feedback control of the vortex-shedding instability based on sensitivity analysis, S. Camarri and A. Iollo, Phys. Fluids 22, 094102, 2010.
  6. Numerical stability analysis of a pressure space with embedded discontinuities, F. S. Sousa et al., Proceedings, 2010.
  7. A high-performance parallel implementation of the certified reduced basis method, D. J. Knezevic and J. W. Peterson, Comp. Meth. Appl. Mech. Eng. 210(13-16), 1455-1466, 2011.
  8. Certified reduced basis methods for parametrized saddle point problems, A.-L. Gerner and K. Veroy, preprint, 2011.
  9. The onset of unsteadiness of two-dimensional bodies falling or rising freely in a viscous fluid: a linear study, P. Assemat et al., J. Fluid Mech. 690, 173-202, 2012.
  10. A relaxation method for large eigenvalue problems, with an application to flow stability analysis, X. Garnaud et al., J. Comput. Phys. 231(10), 3912-3927, 2012.

Earth Sciences, Oceanology

  1. Infrasound oscillations in the Sea of Japan, G. I. Dolgikh et al., Doklady Earth Sciences 441(1), 1529-1532, 2011.

Bioengineering

  1. OpenCMISS: A multi-physics & multi-scale computational infrastructure for the VPH/Physiome project, C. Bradley et al., Prog. Biophys. Mol. Bio. 107(1), 32-47, 2011.
  2. Multistate and Multistage Synchronization of Hindmarsh-Rose Neurons With Excitatory Chemical and Electrical Synapses, F.-J. Jhou et al., IEEE Trans. Circuits and Systems (in press), 2012.

Structural Analysis

  1. Finding the elastic coefficients of a damaged zone in a concrete dam using material optimization to fit measured modal parameters, S. Oliveira et al., Tech. Rep., 2010.
  2. Análise de valores e vectores próprios aplicada ao estudo de barragens com fissuração. Um problema inverso, P. Vieira, MSc thesis, 2010.
  3. Damage identification in a concrete dam by fitting measured modal parameters, S. Oliveira et al., Tech. Rep., 2011.
  4. Minmax topology optimization, K. Brittain et al., Struct. Multidisc. Optim. 45(5), 657-668, 2012.
  5. Parallel computing of large eigenvalue problems for engineering structures, X. Fan et al., Proceedings of ICFCSA, 2011.

Information Retrieval, Machine Learning

  1. Parallel computation of high dimensional robust correlation and covariance matrix, J. Chilson et al., Tech. Rep., 2003.
  2. Lucene for n-grams using the ClueWeb collection, G. B. Newby et al., Tech. Rep., 2009.
  3. Learning fuzzy rule based classifier in high performance computing environment, V. da F. Vieira et al., Proceedings of IFSA, 2009.
  4. Solving correlation matrix completion problems using parallel differential evolution, S. K. Enaganti, MSc thesis, 2010.
  5. On inferring image label information using rank minimization for supervised concept embedding, D. Bespalov et al., Tech. Rep., 2011.
  6. Consensus spectral clustering in near-linear time, D. Luo et al., Proceedings of ICDE, 2011.
  7. A proposal for social search system design, T. Akiyama et al., Proceedings of SAINT, 2011.
  8. A scalable eigensolver for large scale-free graphs using 2D graph partitioning, A. Yoo et al., Proceedings of SC'11, 2011.
  9. White matter atlas generation using HARDI based automated parcellation, L. Bloy et al., NeuroImage 59(4), 4055-4063, 2012.

Visualization, Computer Graphics

  1. Applying manifold learning to plotting approximate contour trees, S. Takahashi et al., IEEE T. Vis. Comput. Gr. 15(6), 1185-1192, 2010.
  2. Tuning manifold harmonics filters, T. Lewiner et al., Proceedings of SIBGRAPI, 2011.
  3. Stereo music visualization through manifold harmonics, T. Lewiner et al., Vis. Comput. 27(10), 905-916, 2011.
  4. Spectral computations on nontrivial line bundles, A. Vais et al., Computers & Graphics (in press), 2012.

Other Applications

  1. Hessian-based model reduction for large-scale data assimilation problems, O. Bashir et al., Lec. Notes Comput. Sci. 4487, 1010-1017, 2007.
  2. Hessian-based model reduction for large-scale systems with initial-condition inputs, O. Bashir et al., Int. J. Numer. Meth. Engrg. 73(6), 844-868, 2007.
  3. SIPs: Shift-and-invert parallel spectral transformations, ACM Trans. Math. Software 33(2), 2007.
  4. A posteriori error estimation in numerical methods for solving self-adjoint eigenvalue problems, C. D. Kamm, Diplomarbeit, 2007.
  5. Spectrum of a non-self-adjoint operator associated with the periodic heat equation, M. Chugunova et al., J. Math. Anal. Appl. 342(2), 970-988, 2008.
  6. Parallel eigensolvers for a discretized radiative transfer problem, P. B. Vasconcelos et al., Lec. Notes Comput. Sci. 5336, 336-348, 2008.
  7. Stochastic optimization using a sparse grid collocation scheme, S. Sankaran, Probabilist. Eng. Mech. 24(3), 382-396, 2009.
  8. Optimal partitions for eigenvalues, B. Bourdin et al., SIAM J. Sci. Comp. 31(6), 4100-4114, 2009.
  9. Stability of Lagrange elements for the mixed Laplacian, D. N. Arnold and M. E. Rognes, Calcolo 46(4), 245-260, 2009.
  10. Mixed finite element methods with applications to viscoelasticity and gels, M. E. Rognes, PhD thesis, 2009.
  11. A standard and software for numerical metadata, V. Eijkhout and E. Fuentes, ACM Trans. Math. Soft. 35(4), 2009.
  12. Computation and analysis of spectra of large undirected networks, Ö. Erdem, MSc thesis, 2010.
  13. Heat kernel smoothing using Laplace-Beltrami eigenfunctions, Seongho Seo et al., Lec. Notes Comput. Sci. 6363, 505-512, 2010.
  14. Fast algorithms for inverse problems with parabolic PDE constraints, S. Adavani and G. Biros, submitted, 2010.
  15. Fast algorithms for Bayesian uncertainty quantification in large-scale linear inverse problems based on low-rank partial Hessian approximations, H. P. Flath et al., SIAM J. Sci. Comput. 33(1), 407-432, 2011.
  16. 3D benchmark on discretization schemes for anisotropic diffusion problems on general grids, R. Eymard et al., Proceedings in Math. 4, 895-930, 2011.
  17. A priori mesh quality metric error analysis applied to a high-order finite element method, W. Lowrie et al., J. Comput. Phys. 230(14), 5564-5586, 2011.
  18. Distributed flow optimization and cascading effects in weighted complex networks, A. Asztalos et al., arXiv preprint, 2011.
  19. Compact and stable Discontinuous Galerkin methods for convection-diffusion problems, S. Brdar et al., SIAM J. Sci. Comput. 34(1), A263-A282, 2012.
  20. Feel++: a computational framework for Galerkin methods and advanced numerical methods, C. Prud'homme et al., ESAIM: Proceedings xx, xx-xx, 2012.