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

slepc4py: python bindings for SLEPc.

FEniCS: a toolkit for the Automation of Computational Mathematical Modeling (ACMM).

libMesh: a C++ framework for the numerical simulation of partial differential equations.

deal.II: a finite element Differential Equations Analysis Library.

OOFEM: an Object Oriented Finite Element code.

PHG: Parallel Hierarchical Grid, an adaptive mesh refinement FEM framework.

Life: a C++ library for partial differential equation solves using generalized Galerkin methods.

LINEAL: LINEar Algebra Library, a suite of efficient parallel linear algebra components for Python.

SIPs: Shift-and-invert parallel spectral transformations, ACM TOMS, 33(2), 2007.

TiberCAD: Multiscale Device Simulator.

GENE: Gyrokinetic Electromagnetic Numerical Experiment.

Nuclear Engineering

Computing the Lambda modes of a nuclear reactor with SLEPc and PETSc, V. Hernandez et al., Intl. Conference on Computational Methods for Mathematical Science and Engineering, 183-192, Alicante (Spain), September 2002.

Simulating control rod and fuel assembly motion using moving meshes, D. Gilbert et al., Annals of Nuclear Energy, 35(2), 291-303, 2008.

High-order spatio-temporal schemes for coupled, multi-physics reactor simulations, V. S. Mahadevan and J. C. Ragusa, Tech. Rep., 2008.

Verification of multiphysics software: space and time convergence studies for nonlinearly coupled applications, V. Mahadevan et al., Preprint, 2009.

Computational Electromagnetics, Photonics

Computation of the smallest positive eigenfrequencies of resonant cavities with freely available parallel solvers, V. Hernandez et al., 7th Intl. Workshop on Finite Elements for Microwave Engineering, Madrid (Spain), May 2004.

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.

Bend performance-enhanced photonic crystal fibers with anisotropic numerical aperture, B. G. Ward, Opt. Express, 16, 8532-8548, 2008.

Spatial Structures and Information Processing in Nonlinear Optical Cavities, A. Jacobo, Phd thesis, 2009.

Plasma Physics

Equilibrium and Stability of Tokamak Plasmas with Arbitrary Flow, L. Guazzotto, PhD thesis, 2005.

Exceptional points in linear gyrokinetics, M. Kammerer et al., Physics of Plasmas 15, 2008.

Computational Physics, Materials Science, Electronic Structure

Rapidly rotating boson molecules with long or short range repulsion: an exact diagonalization study, L. O. Baksmaty et al., Phys. Rev. A 75, 2007.

Sparse grids for the Schrödinger equation, M. Griebel and J. Hamaekers, Math. Model. and Numer. Anal. 41(2), 215-247, 2007.

TiberCAD: A new multiscale simulator for electronic and optoelectronic devices, M. Auf der Maur et al., Superlattices and Microstructures 41, 381-385, 2007.

Spectrum of the non-abelian phase in Kitaev's honeycomb lattice model, V. Lahtinen et al., Annals of Physics, 323(9), 2286-2310, 2008.

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.

Chiral two-dimensional electron gas in a periodic magnetic field, M. Taillefumier et al., Phys. Rev. B 78, 2008.

Discrete sets of Sturmian functions applied to two-electron atoms, J. M. Randazzo et al., Phys. Rev. A 79, 2009.

The computation of resonances in open systems using a perfectly matched layer, S. Kim and J. E. Pasciak, Math. Comp. 78, 1375-1398, 2009.

Valence bond states: link models, E. Rico et al., Annals of Physics, 324(9), 1875-1896, 2009.

Numerical exploration of vortex matter in Bose-Einstein condensates, L. O. Baksmaty et al., Mathematics and Computers in Simulation, 80(1), 131-138, 2009.

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, Preprint, 2009.

Acoustics

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.

Computational Chemistry

Advanced software for the calculation of thermochemistry, kinetics, and dynamics, D. M. Medvedev et al., J. Phys.: Conf. Ser. 16, 247-251, 2005.

Other Applications

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.

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.

Parallel eigensolvers for a discretized radiative transfer problem, P. B. Vasconcelos et al., Lec. Notes Comput. Sci. 5336, 336-348, 2008.

Bifurcation analysis of incompressible sudden expansion flows using parallel computing, Chiau-Yu Huang, MSc thesis, 2009.

Stochastic optimization using a sparse grid collocation scheme, S. Sankaran, Probabilistic Engineering Mechanics 24(3), 382-396, 2009.

Optimal partitions for eigenvalues, B. Bourdain el al., SIAM J. Sci. Comp. 31(6), 4100-4114, 2009.

Stability of Lagrange elements for the mixed Laplacian, D. N. Arnold and M. E. Rognes, Calcolo 46(4), 245-260, 2009.