This study consists of four chapters. In the first chapter we give some historical background of the problem, basic definitions and properties. Basic integral operators of complex analysis and and Schwarz problem for model equations are presented in Chapter 2. Chapter 3 is devoted to the investigation of the properties of a class of strongly singular integral operators. In the last chapter we consider the Schwarz boundary value problem for the general partial complex differential equations of higher order.

In this dissertation, we study the mixed finite element method for the linear plane elasticity problem and iterative solvers for the resulting discrete system. We use the Arnold-Winther Element in the mixed finite element discretization. An overlapping Schwarz preconditioner and a multigrid preconditioner for the discrete system are developed and analyzed. We start by introducing the mixed formulation (stress-displacement formulation) for the linear plane elasticity problem and its discretization. A detailed analysis of the Arnold-Winther Element is given. The finite element discretization of the mixed formulation leads to a symmetric indefinite linear system. Next, we study efficient iterative solvers for the symmetric indefinite linear system which arises from the mixed finite element discretization of the linear plane elasticity problem. The preconditioned Minimum Residual Method is considered. It is shown that the problem of constructing a preconditioner for the indefinite linear system can be reduced to the problem of constructing a preconditioner for the H(div) problem in the Arnold-Winther finite element space. Our main work involves developing an overlapping Schwarz preconditioner and a multigrid preconditioner for the H(div) problem. We give condition number estimates for the preconditioned systems together with supporting numerical results.

Thesis (D. Min.)--Bethel Theological Seminary, 2002. / Abstract. Includes bibliographical references (leaves 226-234).

This dissertation is primarily concerned with women's writing in the mid-seventeenth century, comprising the years from 1624 to 1686. It covers the period immediately following Martin Opitz's vernacular literary reforms in Germany and takes as its primary subject the resultant increase in female authorship. It arises out of an interest in two separate but interrelated issues. The first is out of an interest in female literary production in Germany during the seventeenth century, specifically between 1624 and 1686, dates demarcated by the publication of Martin Opitz's Buch von der deutschen Poeterey and the publication of Susanne Elisabeth Zeidler's collection of poetry, Jungferlicher Zeitvertreiber. The second is the question of women's self-concept within a patriarchal society and the discursive strategies of female authors struggling "against complex odds" to "com[e] to written voice" (Olsen 9). In order to fully explore this subject, I have chosen to focus on the work of two poets, Sibylle Schwarz (1621-1638) and Susanne Elisabeth Zeidler (1657-1706?). Writing at different stages in this period and from dissimilar social positions, the two poets offer contrasting strategies of self-representation and self-authorization. By negotiating the demanding terrain of female authorship in a period inhospitable to female learning in different ways, they illustrate the tensions faced by female poets and the various strategies for overcoming the challenges they faced. I look first at the construction of female gender in the early modern period and the ways female writers could subtly shift the prevailing ideas and definitions to include the act of writing as an acceptable component of female identity. The analysis and comparison of the works of Schwarz and Zeidler also offers a glimpse into the changes in self-awareness and self-concept of female poets across the period. / text

In this paper we consider the well-known BPX-preconditioner in conjunction with adaptive FEM. We present an algorithm which enables us to compute the preconditioner with optimal complexity by a total of only O(DoF) additional memory. Furthermore, we show how to combine the BPX-preconditioner with an overlapping Additive-Schwarz-preconditioner to obtain a preconditioner for finite element spaces with arbitrary polynomial degree distributions. Numerical examples illustrate the efficiency of the algorithms.

This dissertation focuses on the emergence of self-awareness in women of the early 17th century as exemplified by Sibylle Schwarz (1621-1638), a native of Greifswald in North Germany. It analyses the feminist components of her work. Her poetic production, preserved in the anthology Deutsche Poetische Gedichte (1650), consists of 105 poems, four prose introductions and three letters. It is the output of a writer whose short life of 17 years plays itself out against the backdrop of a century shattered by the Thirty Years' War, religious strife, the plague, oppression and social unrest. Topics such as friendship, love, female self-awareness, or the contrasting realities of women and men are the themes through which she explores an androcentric society and establishes herself as an advocate for the acceptance of women as full members of society. With her motto Du solst mich doch nicht unterdrucken ("You shall not suppress me") she insists on her equality as a woman and a writer. The defiance of her "natural" role as a woman expresses itself ambivalently, through observing social conventions while at the same time striving to undermine them. Sibylle Schwarz, unlike any other German bourgeois woman author between 1550 and 1650, has written poetry engaging in social criticism that corroborates and at the same time transcends the inferior status of women within a patriarchal structure. This unique nature of her writings makes them an important milestone in the emergence of female intellectual autonomy. The first two of six major sections state the goals of my research, a survey of the materials used and the methodology to be followed. Part III sets the context of a society in which women were limited to a narrow range of roles. In Part IV the conditions in which women lived, worked, and were brought up, from the institutionalised lack of educational opportunity to social, conventional and legal barriers to their full participation in society are being explored. Part V gives an extensive analysis of Sibylle Schwarz's work, relating it to her personal situation and to the themes already developed, with an accounting of her thoughts and ideas about her culture, her society and her gender. Part VI summarises the work and states its conclusions.

Zugl.: Leipzig, Univ., Diss., 2008 u.d.T.: Voigt, C.: Das Reichsbanner Schwarz-Rot-Gold und der Rote Frontkämpferbund in Sachsen (1924 - 1933)

Thesis (D. Min.)--Bethel Theological Seminary, 2002. / Abstract. Includes bibliographical references (leaves 226-234).

Thesis (D. Min.)--Trinity International University, 2005. / Abstract. Includes bibliographical references (leaves 179-182).

Thesis (D. Min.)--Bethel Theological Seminary, 2002. / Abstract. Includes bibliographical references (leaves 226-234).