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Technical Reports
- A. Moiola, R. Hiptmair and I. Perugia,
Approximation by plane waves,
SAM-ETH Zurich Report 2009-27 (2009)
[download]
- R. Hiptmair, A. Moiola and I. Perugia,
Plane wave discontinuous Galerkin methods for the 2D Helmholtz equation:
analysis of the p-version,
SAM-ETH Zurich Report 2009-20 (2009)
[download]
Refereed Journal Papers
- A. Buffa, I. Perugia and T. Warburton,
The mortar-discontinuous Galerkin method for
the 2D Maxwell eigenproblem,
J. Sci. Comp., 40 (2009), 86-114
- C. J. Gittelson, R. Hiptmair and I. Perugia,
Plane wave discontinuous Galerkin methods: Analysis of the h-version,
M2AN Math. Model. Numer. Anal.,
43 (2009), 297-331.
- A. Buffa, P. Houston and I. Perugia,
Discontinuous Galerkin Computation of the Maxwell Eigenvalues on
Simplicial Meshes,
J. Comput. Appl. Math., 204 (2007), 317-333.
- P. Houston, I. Perugia and D. Schötzau,
An a posteriori error indicator for discontinuous Galerkin
discretizations of H(curl)-elliptic partial differential equations,
IMA J. Numer. Anal., 27 (2007), 122-150.
- A. Buffa and I. Perugia,
Discontinuous Galerkin approximation of the Maxwell eigenproblem,
SIAM Numer. Anal., 44 (2006), 2198-2226.
- P. F. Antonietti, A. Buffa and I. Perugia,
Discontinuous Galerkin approximation of the Laplace eigenproblem,
Comput. Methods Appl. Mech. Engrg., 195 (2006), 3483-3503.
- P. Houston, I. Perugia, A. Schneebeli and D. Schötzau,
Mixed discontinuous Galerkin approximation of the Maxwell operator:
the indefinite case,
M2AN Math. Model. Numer. Anal., 39 (2005), 727-753.
- P. Houston, I. Perugia, A. Schneebeli and D. Schötzau,
Interior penalty method for the indefinite time-harmonic Maxwell equations,
Numer. Math., 100 (2005), 485-518.
- P. Hansbo, C. Lovadina, I. Perugia and G. Sangalli,
A Lagrange multiplier method for the finite element solution
of elliptic interface problems using non-matching meshes,
Numer. Math., 100 (2005), 91-115.
- P. Houston, I. Perugia and D. Schötzau,
Energy norm a posteriori error estimation for mixed discontinuous
Galerkin approximations of the Maxwell operator,
Comput. Methods Appl. Mech. Engrg.,
194 (2005), 499-510.
- P. Houston, I. Perugia and D. Schötzau,
Mixed discontinuous Galerkin approximation of the Maxwell operator:
non-stabilized formulation,
J. Sci. Comp., 22-23 (2005), 315-346.
- P. Alotto and I. Perugia,
Matrix Properties of a Vector Potential Cell Method for Magnetostatics,
IEEE Trans. on Magnetics, 40 (2004), 1045-1048.
-
P. Houston, I. Perugia and D. Schötzau,
Nonconforming mixed finite element approximations
to time-harmonic eddy current problems,
IEEE Trans. on Magnetics, 40 (2004), 1268-1273 .
- P. Houston, I. Perugia and D. Schötzau,
Mixed discontinuous Galerkin approximation of
the Maxwell operator,
SIAM J. Numer. Anal., 42 (2004), 434-459.
- I. Perugia and D. Schötzau,
The hp-local discontinuous Galerkin
method for low-frequency time-harmonic Maxwell equations,
Math. Comp., 72 (2003), 1179-1214.
- I. Perugia, D. Schötzau and P. Monk,
Stabilized interior penalty
methods for the time-harmonic Maxwell equations,
Comp. Meth. Appl. Mech. Engrg., 191 (2002), 4675-4697.
- P. Alotto, A. Bertoni, I. Perugia and D. Schötzau,
Efficient use of the Local Discontinuous Galerkin
method for meshes sliding on a circular boundary,
IEEE Trans. on Magnetics, 38 (2002), 405-408.
- I. Perugia and D. Schötzau,
An hp-analysis of the
local discontinuous Galerkin method for diffusion problems,
J. Sci. Comp., 17 (2002), 561-571.
- P. Castillo, B. Cockburn, I. Perugia and D. Schötzau,
Local discontinuous
Galerkin method for elliptic problems,
Commun. Numer. Meth. Engrg., 18 (2002), 69-75.
- I. Perugia and D. Schötzau,
On the coupling of local
discontinuous Galerkin and conforming finite element methods,
J. Sci. Comp., 16 (2001), 411-433.
- B. Cockburn, G. Kanschat, I. Perugia and D. Schötzau,
Superconvergence of the local discontinuous Galerkin
method for elliptic problems on Cartesian grids,
SIAM J. Numer. Anal., 39 (2001), 264-285.
- P. Alotto, A. Bertoni, I. Perugia and D. Schötzau,
Discontinuous finite element methods for the
simulation of rotating electrical machines,
COMPEL, 20 (2001), 448-462.
- P. Fernandes and I. Perugia,
Vector potential formulation for magnetostatics
and modeling of permanent magnets,
IMA J. Appl. Math., 66 (2001), 293-318.
- P. Castillo, B. Cockburn, I. Perugia and D. Schötzau,
An a priori error analysis of the Local Discontinuous
Galerkin method for elliptic problems,
SIAM J. Numer. Anal., 38 (2000), 1676-1706.
- I. Perugia and V. Simoncini,
Block-diagonal and indefinite
symmetric preconditioners for mixed finite element formulations,
Numer. Linear Algebra Appl., 7 (2000), 585-616.
- P. Alotto and I. Perugia,
Tree-cotree implicit condensation in Magnetostatics,
IEEE Trans. on Magnetics, 36 (2000), 1523-1526.
- P. Alotto and I. Perugia,
A field-based finite element method for
magnetostatics derived from an error minimisation approach,
Internat. J. Numer. Methods Engrg., 49 (2000), 573-598.
- P. Alotto and I. Perugia,
An adaptive mixed formulation for 3D magnetostatics,
COMPEL, 19 (2000), 106-120.
- P. Alotto and I. Perugia,
Mixed finite element methods and
tree-cotree implicit condensation,
Calcolo, 36 (1999), 233-248.
- I. Perugia,
A mixed formulation for 3D magnetostatic problems: theoretical
analysis and face-edge finite element approximation,
Numer. Math., 84 (1999), 305-326.
- I. Perugia, V. Simoncini and M. Arioli,
Linear algebra methods in
a mixed approximation of magnetostatic problems,
SIAM J. Sci. Comput., 21 (1999), 1085-1101.
- D. Boffi, P. Fernandes, L. Gastaldi and I. Perugia,
Computational models of electromagnetic resonators:
analysis of edge element approximation,
SIAM J. Numer. Anal., 36 (1999), 1264-1290.
- P. Alotto, F. Delfino, P. Molfino, M. Nervi and I. Perugia,
A mixed
face-edge finite element formulation for 3D magnetostatic problems,
IEEE Trans. on Magnetics, 34 (1998), 2445-2448.
- P. Di Barba, A. Savini and I. Perugia,
Mixed finite elements for
the simulation of fields and forces in electromagnetic devices,
IEEE Trans. on Magnetics, 34 (1998), 3572-3575.
- P. Di Barba, I. Perugia and A. Savini,
Recent Experiences on Mixed
Finite Elements for 2D Simulation of Magnetic Fields,
COMPEL, 17 (1998),
674-681.
- I. Perugia,
A field-based mixed formulation for the 2-D magnetostatic
problem,
SIAM J. Numer. Anal., 34 (1997), 2382-2391.
- I. Perugia and T. Scapolla,
Optimal rectangular MITC finite elements
for Reissner-Mindlin plates,
Numer. Methods Partial Differential Equations,
13 (1997), 575-585.
- F. Brezzi, P. Di Barba, L.D. Marini, I. Perugia and A. Savini,
A
Novel Field-Based Mixed Formulation of Magnetostatics,
IEEE Trans. on Magnetics, 32 (1996), 635-638.
- I. Perugia,
A class of quadrilateral finite elements for the Stokes
problem,
Appl. Math. Lett., 6 (1993), 27-30.
Other Papers
- P. Houston, I. Perugia and D. Schötzau,
Recent developments in Discontinuous Galerkin methods
for the time-harmonic Maxwell equations,
International Compumag Society Newsletter,
11 (2004), 11-17.
- C. Lovadina and I. Perugia,
Finite element methods for piezoelectric
Reissner-Mindlin plates,
Rend. Ist. Lomb. Sez. A - Analisi Numerica,
129 (1995), 121-134.
Refereed Conference Proceedings
- R. Hiptmair and I. Perugia,
Mixed plane wave discontinuous Galerkin methods,
in Domain Decomposition Methods in Science and Engineering XVIII,
M. Bercovier, M.J. Gander, R. Kornhuber and O. Widlund, eds.,
Lecture Notes in Computational Science and Engineering,
Spinger, 2008, pp. 51-62.
- A. Buffa and I. Perugia,
Discontinuous Galerkin approximation of eigenvalue problems,
Proceeding of the Third M.I.T. Conference
on Computational Fluid and Solid Mechanics,
June 14-17, 2005, Cambridge MA, USA (Elsevier).
- P. Houston, I. Perugia A. Scheneebeli and D. Schötzau,
Discontinuous Galerkin methods for the time-harmonic Maxwell equations,
Proceedings of ENUMATH 2003
the European Conference on Numerical Mathematics and Advanced Applications,
August 18-22, 2003, Prague, Czech Republic,
(Springer), pp. 483-492.
- I. Perugia, D. Schötzau and J. Warsa
On a discontinuous Galerkin method for
radiation-diffusion problems,
Proceedings of ENUMATH 2003
the European Conference on Numerical Mathematics and Advanced Applications,
August 18-22, 2003, Prague, Czech Republic (Springer), pp. 687-697.
- P. Houston, I. Perugia and D. Schötzau,
Nonconforming mixed finite element approximations
to time-harmonic eddy current problems,
Proceedings of XIV COMPUMAG Conference on
Computation of Electromagnetic Fields,
July 13-17, 2003, Saratoga Springs NY, USA.
- P. Alotto, I. Perugia,
Matrix properties of a
vector potential cell method for magnetostatics,
Proceedings of XIV COMPUMAG Conference on
Computation of Electromagnetic Fields,
July 13-17, 2003, Saratoga Springs NY, USA.
- C. Lovadina, R. Nascimbene, I. Perugia and P. Venini,
Mixed methods for interface problems,
Proceeding of the Second M.I.T. Conference
on Computational Fluid and Solid Mechanics,
June 17-20, 2003, Cambridge MA, USA (Elsevier), pp. 2053-2056.
- P. Houston, I. Perugia and D. Schötzau,
hp-DGFEM for Maxwell's equations,
Proceedings of ENUMATH 2001
the European Conference on Numerical Mathematics and Advanced Applications,
July 23-28, 2001, Ischia Porto, Italy (Springer), pp. 785-794.
- P. Alotto, A. Bertoni, I. Perugia and D. Schötzau,
Efficient use of the Local Discontinuous Galerkin
method for meshes sliding on a circular boundary,
Proceedings of XIII COMPUMAG Conference on
Computation of Electromagnetic Fields,
July 2-5, 2001, Evian, France.
- P. Alotto, A. Bertoni, I. Perugia and D. Schötzau,
Discontinuous Finite Element Methods for the
Simulation of Rotating Electrical Machines,
IX International IGTE Symposium on Numerical Field Calculation in
Electrical Engineering,
September 11-14, 2000, Graz, Austria.
- P. Alotto and I. Perugia,
Tree-cotree implicit condensation in magnetostatics,
Proceedings of XII COMPUMAG Conference on
Computation of Electromagnetic Fields,
October 25-28, 1999, Sapporo, Japan.
- P. Alotto and I. Perugia,
An adaptive mixed formulation and code
for 3D magnetostatics,
VIII International IGTE Symposium on Numerical
Field Calculation in Electrical Engineering,
September 21-24, 1998, Graz,
Austria.
- P. Alotto, F. Delfino, P. Molfino, M. Nervi and I. Perugia,
A mixed
face-edge finite element formulation for 3D magnetostatic problem,
Proceedings of the XI COMPUMAG Conference on Computation of Electromagnetic
Fields,
November 2-6, 1997, Rio de Janeiro, Brasil.
- P. Di Barba, A. Savini and I. Perugia,
Mixed finite elements for
the simulation of fields and forces in electromagnetic devices,
Proceedings
of the XI COMPUMAG Conference on Computation of Electromagnetic Fields,
November 2-6, 1997, Rio de Janeiro, Brasil.
- P. Di Barba, I. Perugia and A. Savini,
Recent Experiences on Mixed
Finite Elements for 2D Simulation of Magnetic Fields,
Proceedings of
the IX ISTET International Symposium on Theoretical Electrical Engineering,
June 9-11, 1997, Palermo, Italy.
- D. Boffi, P. Fernandes, L. Gastaldi and I. Perugia,
Edge approximation
of eigenvalue problems arising from electromagnetics,
Proceedings of
the Second ECCOMAS Conference on Numerical Methods in Engineering,
September
9-13, 1996, Paris, France (John Wiley & Sons).
- F. Brezzi, P. Di Barba, L.D. Marini, I. Perugia and A. Savini,
A Novel Field-Based Mixed Formulation of Magnetostatics,
Proceedings of the X COMPUMAG Conf. on Computation
of Electromagnetic Fields,
July 10-13, 1995, Berlin, Germany.