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

Unworking Milton: Steps to a Georgics of the Mind

Traditionally read as a poem about laboring subjects who gain power through abstract and abstracting forms of bodily discipline, John Milton’s Paradise Lost (1667, 1674) more compellingly foregrounds the erotics of the Garden as a space where humans and nonhumans intra-act materially and sexually. Following Christopher Hill, who long ago pointed to not one but two revolutions in the history of seventeenth-century English radicalism—the first, ‘the one which succeeded[,] . . . the protestant ethic’; and the second, ‘the revolution which never happened,’ which sought ‘communal property, a far wider democracy[,] and rejected the protestant ethic’—I show how Milton’s Paradise Lost gives substance to ‘the revolution which never happened’ by imagining a commons, indeed a communism, in which human beings are not at the center of things, but rather constitute one part of the greater ecology of mind within Milton’s poem. In the space created by this ecological reimagining, plants assume a new agency. I call this reimagining ‘ecology to come.

Neptune to the Common-wealth of England (1652): the republican Britannia and the continuity of interests

In the seventeenth century, John Kerrigan reminds us, “models of empire did not always turn on monarchy”. In this essay, I trace a vision of “Neptune’s empire” shared by royalists and republicans, binding English national interest to British overseas expansion. I take as my text a poem entitled “Neptune to the Common-wealth of England”, prefixed to Marchamont Nedham’s 1652 English translation of Mare Clausum (1635), John Selden’s response to Mare Liberum (1609) by Hugo Grotius. This minor work is read alongside some equally obscure and more familiar texts in order to point up the ways in which it speaks to persistent cultural and political interests. I trace the afterlife of this verse, its critical reception and its unique status as a fragment that exemplifies the crossover between colonial republic and imperial monarchy at a crucial moment in British history, a moment that, with Brexit, remains resonant

Panegyric of the monarch and its social context under Elizabeth I and James I

The thesis examines the relationship between poetry and politics under Elizabeth and James, tracing certain changes in modes of artistic representation through historical analysis of particular masques and entertainments. The introductory chaper discusses the close connection between poetry and ceremonial in the Renaissance: in panegyric the poet's private imagination is subordinated to public images, and his art is one of ceremonial "ornamentation". Subsequent chapters discuss the effects of social, political and religious changes on this ceremonial poetic. Chapter 31 relates the political symbolism of Tho Faerie Queene to the tradition of pageantry on which it was based, and analyzes the growing tension in the later books between public and private vallies. Chapter III discusses the new developments of the 1590s, arguing that both in politics and in literature new tensions were being felt. The first part deals with the poets associated with Essex, the second with the poetry of Sir Walter Ralegh. Chapter IV discusses the effects on panegyric of the new, less external concepts of decorum introduced by the writers of the "plain style", with special reference to FullcGreville and Samuel Daniel. Chapter Y deals with Jonson's masques, showing that while in political concent they mirror the line taken by the king and his more conservative advisers, in artistic form they display an ambivalence characteristic of Jonson's work. Chapter VI discusses the Jacobean poets wco imitated Spenser, showing the continuity of l.heir political concerns from the public poetry of the 1590s and arguing that Spenserian poetry, especially pastoral, became a protest against the corruption of the Jacobean court. A newly discovered draft of a masque for the wedding of Princess Elizabeth in 1613 is included in an Appendix

The Works of Lucy Hutchinson. Volume II: Theological Writings and Translations

This is the second volume in the four-volume edition of The Works of Lucy Hutchinson, the first-ever collected edition of the writings of the pioneering author and translator. This volume brings together for the first time the religious writings of Hutchinson (1620-81). She is well known for her classic narrative of the Civil War period, Memoirs of the Life of Colonel Hutchinson, and for her Biblical poem Order and Disorder; these writings lay out the theological underpinnings of those works, making it possible to chart the development of her ideas in detail. They go beyond the practical piety often expected of women writers, translating Latin texts and exploring the nature of theological knowledge. Some works are published here for the first time, others have not been available since 1817. Detailed introductions and commentaries make these writings fully accessible to non-specialists and offer comparisons with contemporaries like John Owen and John Milton

“Not so much open professed enemies as close hypocritical false-hearted people”: Lucy Hutchinson’s manuscript account of the services of John Hutchinson and mid-seventeenth-century factionalism

In the 1640s, Lucy Hutchinson (1620-1681) wrote a manuscript account of her husband’s “services” to the city of Nottingham, a text to which she would return when she came to write the Memoirs of the Life of Colonel John Hutchinson in the 1660s. As well as a detailed description of civil-war Nottinghamshire, this early manuscript traces the factious relationships between the Independent, John Hutchinson, and his fellow Presbyterian committee members from 1641-1645. This factionalism was visible on a national scale in the mid-1640s, as divisions within Parliamentary forces played out in public thanks to the rising popularity of the printed pamphlet. This paper explores the links between Hutchinson’s seemingly private manuscript account and this burgeoning form of public news