142 research outputs found
An HDG Method for Dirichlet Boundary Control of Convection Dominated Diffusion PDE
We first propose a hybridizable discontinuous Galerkin (HDG) method to
approximate the solution of a \emph{convection dominated} Dirichlet boundary
control problem. Dirichlet boundary control problems and convection dominated
problems are each very challenging numerically due to solutions with low
regularity and sharp layers, respectively. Although there are some numerical
analysis works in the literature on \emph{diffusion dominated} convection
diffusion Dirichlet boundary control problems, we are not aware of any existing
numerical analysis works for convection dominated boundary control problems.
Moreover, the existing numerical analysis techniques for convection dominated
PDEs are not directly applicable for the Dirichlet boundary control problem
because of the low regularity solutions. In this work, we obtain an optimal a
priori error estimate for the control under some conditions on the domain and
the desired state. We also present some numerical experiments to illustrate the
performance of the HDG method for convection dominated Dirichlet boundary
control problems
Mind, absent characters, and the deployment of ideology in Henry James’s short fiction
This paper examines the role of ideology in the construction of absent characters in Henry James’s short fiction against a methodological background of cognitive narratology and the attendant notions of metarepresentation, extended mind, and distributed identity. Building on the conviction that those minds that communally assemble absent characters by projecting subjective images of them do form identifiable ideological systems rather than arbitrary arrays, an approach to the construction of absent Louisa Brash in “The Beldonald Holbein” (1901) is made in the context of “Daisy Miller” (1878), “The Author of Beltraffio” (1884), and “The Next Time” (1895). Published in three different decades, these stories display absent and quasi‐absent characters who are conjured up for the reader in much the same way as Mrs. Brash is, namely as functions of a priori ideological positions based on sequenced degrees of commitment to the thematic dominant of a tale, a process that often results in deeply conflicted identities.US Fulbright Program/Spanish Ministry of Education, Culture, and Sport, Grant/Award Number: PRX16/00265
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