VIH-1: Grounds of Mr. Edward Uihlein, Lake Forest, IL, Copy of Topo. Survey, September 1914

original file name DSC_0004

Thinks I to myself : a serio-ludicro, tragico-comico tale /

Mode of access: Internet.

Prince Edward Island : information regarding its climate, soil, resources, suitability for summer visitors and tourists, &c., &c.

"Published by authority of the provincial government."

Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis

We consider the a priori error analysis of hp-version interior penalty discontinuous Galerkin methods for second-order partial differential equations with nonnegative characteristic form under weak assumptions on the mesh design and the local finite element spaces employed. In particular, we prove a priori hp-error bounds for linear target functionals of the solution, on (possibly) anisotropic computational meshes with anisotropic tensor-product polynomial basis functions. The theoretical results are illustrated by a numerical experiment.

Wpływ czynników środowiskowych na układ odpornościowy i wczesno-sezonową aktywność chrząszczy z rodzaju Nicrophorus (Coleoptera: Silphidae)

Wydział Biologii: Instytut Biologii Środowiska

Adaptivity and a posteriori error control for bifurcation problems I: the Bratu problem

This article is concerned with the numerical detection of bifurcation points of nonlinear partial differential equations as some parameter of interest is varied. In particular, we study in detail the numerical approximation of the Bratu problem, based on exploiting the symmetric version of the interior penalty discontinuous Galerkin finite element method. A framework for a posteriori control of the discretization error in the computed critical parameter value is developed based upon the application of the dual weighted residual (DWR) approach. Numerical experiments are presented to highlight the practical performance of the proposed a posteriori error estimator.