Between despair and hope: raising emotions with Dutch Seventeenth-Century marine paintings and prints

Medieval and Early Modern Studie

Introduction: The Sublime and Seventeenth-Century Netherlandish Art

Medieval and Early Modern Studie

The sublime in the visual culture of the Seventeenth-Century Dutch Republic

Contrary to what Kant believed about the Dutch (and their visual culture) as “being of an orderly and diligent position” and thus having no feeling for the sublime, this book argues that the sublime played an important role in seventeenth-century Dutch visual and decorative art, architecture, and theater.By looking at different visualizations of exceptional heights, divine presence, overwhelming natural phenomena, political grandeur, extreme violence, and extraordinary artifacts, the authors demonstrate how viewers were confronted with the sublime, which evoked in them a combination of contrasting feelings of awe and fear, attraction and repulsion. In studying seventeenth-century Dutch visual culture through the lens of notions of the sublime, we can move beyond the traditional and still widespread views on Dutch art as the ultimate representation of everyday life and the expression of a prosperous society in terms of calmness, neatness, and order.The book will be of interest to scholars working in art history, visual culture, architectural history, and cultural history.Horizon 2020(H2020)Medieval and Early Modern Studie

Introduction

Medieval and Early Modern Studie

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