If you use Hermes for your work, please be so kind to include some of the references below as appropriate.
Monographs:
@Book{Hermes-book1,
author = {P. Solin, K. Segeth, I. Dolezel},
title = {Higher-Order Finite Element Methods},
publisher = {Chapman & Hall / CRC Press},
year = {2003}
}
@Book{Hermes-book2,
author = {P. Solin},
title = {Partial Differential Equations and the Finite Element Method},
publisher = {J. Wiley & Sons},
year = {2005}
}
Reference to the Hermes open-source project:
@Manual{Hermes-project,
title = {Hermes - Higher-Order Modular Finite Element System (User's Guide)},
author = {P. Solin et al.},
url = {http://hpfem.org/}
}
Underlying algorithms (hanging nodes, adaptivity, shape functions):
@Article{Hermes-time-integration,
author = {P. Solin, L. Korous},
title = {Adaptive Higher-Order Finite Element Methods for Transient PDE Problems Based on
Embedded Higher-Order Implicit Runge-Kutta Methods},
journal = {J. Comput. Physics},
year = {2011},
status = {accepted},
volume = {},
pages = {}
}
@Article{Hermes-hanging-nodes,
author = {P. Solin, J. Cerveny, I. Dolezel},
title = {Arbitrary-Level Hanging Nodes and Automatic Adaptivity in the hp-FEM},
journal = {Math. Comput. Simul.},
year = {2008},
volume = {77},
pages = {117 - 132}
}
@Article{Hermes-adaptivity,
author = {P. Solin, D. Andrs, J. Cerveny, M. Simko},
title = {PDE-Independent Adaptive hp-FEM Based on Hierarchic Extension of Finite Element Spaces},
journal = {J. Comput. Appl. Math.},
year = {2010},
volume = {233},
pages = {3086-3094}
}
@Article{Hermes-shape-functions,
author = {P. Solin, T. Vejchodsky},
title = {Higher-Order Finite Elements Based on Generalized Eigenfunctions of the Laplacian},
journal = {Int. J. Numer. Methods Engrg},
year = {2007},
volume = {73},
pages = {1374 - 1394}
}
Selected applications:
@Article{Hermes-polymer-metal-composites,
author = {D. Pugal, P. Solin, K.J. Kim, A. Aabloo},
title = {Modeling Ionic Polymer-Metal Composites with Space-Time Adaptive Multimesh hp-FEM},
journal = {Communications in Computational Physics},
year = {2011},
status = {accepted},
volume = {},
pages = {}
}
@Article{Hermes-anisotropic-benchmarks,
author = {P. Solin, O. Certik, L. Korous},
title = {Three Anisotropic Benchmarks for Adaptive Finite Element Methods},
journal = {Appl. Math. Comput.},
year = {2011},
status = {accepted},
volume = {},
pages = {}
}
@Article{Hermes-richards,
author = {P. Solin, M. Kuraz},
title = {Solving the Nonstationary Richards Equation with Adaptive hp-FEM},
journal = {Advanced Water Resources},
year = {2011},
volume = {34},
pages = {1062-1081}
}
@Article{Hermes-nuclear,
author = {L. Dubcova, P. Solin, G. Hansen, H. Park},
title = {Comparison of Multimesh hp-FEM to Interpolation and Projection Methods for Spatial Coupling of Reactor Thermal and Neutron Diffusion Calculations},
journal = {J. Comput. Physics},
year = {2011},
volume = {230},
pages = {1182-1197}
}
@Article{Hermes-heat-and-moisture,
author = {P. Solin, L. Dubcova, J. Kruis},
title = {Adaptive hp-FEM with Dynamical Meshes for Transient Heat and Moisture Transfer Problems},
journal = {J. Comput. Appl. Math},
year = {2010},
volume = {233},
pages = {3103-3112}
}
@Article{Hermes-thermoelasticity,
author = {P. Solin, J. Cerveny, L. Dubcova, D. Andrs},
title = {Monolithic Discretization of Linear Thermoelasticity Problems via Adaptive Multimesh hp-FEM},
journal = {J. Comput. Appl. Math},
status = {published online},
doi = {doi 10.1016/j.cam.2009.08.092},
year = {2009}
}
@Article{Hermes-electromagnetics,
author = {L. Dubcova, P. Solin, J. Cerveny, P. Kus},
title = {Space and Time Adaptive Two-Mesh hp-FEM for Transient Microwave Heating Problems},
journal = {Electromagnetics},
year = {2010},
volume = {30},
pages = {23 - 40}
}
@Article{Hermes-fluid-mechanics,
author = {P. Solin, J. Cerveny, L. Dubcova, I. Dolezel},
title = {Multi-Mesh hp-FEM for Thermally Conductive Incompressible Flow},
journal = {Proceedings of ECCOMAS Conference COUPLED PROBLEMS 2007 (M. Papadrakakis, E. Onate,
B. Schrefler Eds.), CIMNE, Barcelona},
year = {2007},
pages = {677 - 680}
}
Other papers that may be still closer to what you need can be found in the citing section of the hp-FEM group home page.