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Numerical Algorithms for Complex Materials(Metamaterials, Exotic
Crystals)
2.1 Frequency Domain Techniques:
Our hybrid finite element methods for antennas and RF devices will be extended
to allow for equal capabilities in modeling complex materials with an “eye”
towards design. Among the goals are
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Incorporation of Complex Materials in hybrid FEM Formulation
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hp-AMR with Multigrid and Hanging Variable Techniques
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Integration of Opimal Domain Decomposition, Mortar Elements into hp-AMR
procedure
2.2 Finite Time Domain Methods Research Tasks:
Time domain methods offer unique advantages for materials with complex
properties where dispersion may occur. Further, they allow for field
visualization as a means in understanding the behavior and physical properties
of the materials for radio frequency applications. Our goal is to investigate
and develop
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New or Improved Higher Order Finite Methods, including higher order stencils
within Finite Difference-Time Domain Methods
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Finite Element-Time Domain Methods
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Discontinuous Galerkin’s Finite Element-Time Domain Methods
Research Area 3: Design Methods
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