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2004

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Quasioptimality Of Some Spectral Mixed Methods, Jay Gopalakrishnan, Leszek Demkowicz Jan 2004

Quasioptimality Of Some Spectral Mixed Methods, Jay Gopalakrishnan, Leszek Demkowicz

Mathematics and Statistics Faculty Publications and Presentations

In this paper, we construct a sequence of projectors into certain polynomial spaces satisfying a commuting diagram property with norm bounds independent of the polynomial degree. Using the projectors, we obtain quasioptimality of some spectralmixed methods, including the Raviart–Thomas method and mixed formulations of Maxwell equations. We also prove some discrete Friedrichs type inequalities involving curl.

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Analysis Of A Multigrid Algorithm For Time Harmonic Maxwell Equations, Jay Gopalakrishnan, Joseph E. Pasciak, Leszek Demkowicz Jan 2004

Analysis Of A Multigrid Algorithm For Time Harmonic Maxwell Equations, Jay Gopalakrishnan, Joseph E. Pasciak, Leszek Demkowicz

Mathematics and Statistics Faculty Publications and Presentations

This paper considers a multigrid algorithm suitable for efficient solution of indefinite linear systems arising from finite element discretization of time harmonic Maxwell equations. In particular, a "backslash" multigrid cycle is proven to converge at rates independent of refinement level if certain indefinite block smoothers are used. The method of analysis involves comparing the multigrid error reduction operator with that of a related positive definite multigrid operator. This idea has previously been used in multigrid analysis of indefinite second order elliptic problems. However, the Maxwell application involves a nonelliptic indefinite operator. With the help of a few new estimates, the …

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A Characterization Of Hybridized Mixed Methods For Second Order Elliptic Problems, Bernardo Cockburn, Jay Gopalakrishnan Jan 2004

A Characterization Of Hybridized Mixed Methods For Second Order Elliptic Problems, Bernardo Cockburn, Jay Gopalakrishnan

Mathematics and Statistics Faculty Publications and Presentations

In this paper, we give a new characterization of the approximate solution given by hybridized mixed methods for second order self-adjoint elliptic problems. We apply this characterization to obtain an explicit formula for the entries of the matrix equation for the Lagrange multiplier unknowns resulting from hybridization. We also obtain necessary and sufficient conditions under which the multipliers of the Raviart–Thomas and the Brezzi–Douglas–Marini methods of similar order are identical.

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Anarchism And The Politics Of Homosexuality, Terence S. Kissack Jan 2004

Anarchism And The Politics Of Homosexuality, Terence S. Kissack

Dissertations, Theses, and Capstone Projects

From the mid-1890s through the 1920s activists in the American, English-language anarchist movement carried on a spirited debate on the ethical, social, and cultural status of same-sex desire. Among Americans they were alone in doing so; no other political movement or notable public figure of the period dealt with this issue. By making same-sex desire a topic of political discourse the anarchist sex radicals helped shift the sexual, cultural, and political landscape within which all Americans operated. While the contemporary homosexual rights movement is not the lineal descendant of the turn-of-the-century anarchist movement, the activists examined in this dissertation addressed …

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¿Cuál Tratamiento Para Cuál Niño? Comorbilidad Y Déficit De Atención-Hiperactividad, Cecilia Montiel-Nava, Joaquín A. Peña Jan 2004

¿Cuál Tratamiento Para Cuál Niño? Comorbilidad Y Déficit De Atención-Hiperactividad, Cecilia Montiel-Nava, Joaquín A. Peña

Psychological Science Faculty Publications

No abstract provided.

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