| Adaptive hp-FE Modeling for Maxwell's Equations
with Applications to Scattering and Waveguides
I will present the hp-adaptive
Finite Element Method for modeling various forms of Maxwell's equations
in both interior and exterior domains. The presentation will cover a number
of both theoretical and implementational issues, we have been working on
in the last three years, including:
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De Rham diagram for hp spaces.
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Interpolation error estimates for the hp discretizations,
and the corresponding stability and convergence analysis.
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2Dhp90_EM, 3Dhp90_EM - two and three-dimensional
hp-Adaptive Finite Element Packages for Electromagnetics implemented in
Fortran 90. Examples of 2D and 3D simulations (antenna and scattering problems).
-
Infinite element method for Maxwell's equations in
exterior domains.
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Full wave analysis of nonhomogeneous waveguides.
Existence and convergence results. Examples of simulations.
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A two-grid iterative solver for time-harmonic Maxwell's
equations.
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Implementation of the Element Residual Method for
2D hp meshes.
Please visit my Web page: (http://king.ticam.utexas.edu/People/Faculty/DEMKOWICZ/)
for more information and copies of our current
reports.
Acknowledgement: The work has been supported by
the Air Force under Grant F49620-98-1-0255, and NSF through the NPACI project. |
