In this paper we prove a posteriori L2(L2) and L∞(H−1) residual based error estimates for a finite element method for the one-dimensional time dependent coupling equations of two scalar conservation laws. The underlying discretization scheme is Characteristic Galerkin method which is the particular variant of the Streamline diffusion finite element method for δ = 0. Our estimate contains certai...

S1 pan-boreoeutherian mobile elements Mobile elements, as annotated by Repbase [1] and RepeatMasker [2], have a hierarchical naming convention where they are first broken down into classes, then families, and finally subfamilies. In the main text we define “pan-boreoeutherian” subfamilies to be the subfamilies that are present in primates (human, chimp, or rhesus), rodents (rat or mouse), and c...

At least 5% of the human genome predating the mammalian radiation is thought to have evolved under purifying selection, yet protein-coding and related untranslated exons occupy at most 2% of the genome. Thus, the majority of conserved and, by extension, functional sequence in the human genome seems to be nonexonic. Recent work has highlighted a handful of cases where mobile element insertions h...

Localized deformation such as shear bands, compaction bands, dilation bands, combined shear/compaction or shear/dilation bands, fractures, and joint slippage are commonly found in rocks. Thus, modeling their inception, development and propagation, and effect on stress response is important with regard to making informed engineering design decisions involving these materials. Following a GulfRoc...

High efficiency gene transfer (greater than 90%) in chicken dorsal root ganglion neurons has been obtained by DNA calcium phosphate co-precipitation, hence providing an important tool to study control of gene expression in primary neurons. Transfection with c-fos promoter sequences linked to the chloramphenicol acetyltransferase reporter gene showed that the serum responsive element functions a...

We present novel enhanced finite element methods for the Darcy problem starting from the non stable continuous P1/P0 finite element space enriched with multiscale functions. The methods are derived in a Petrov-Galerkin framework where both velocity and pressure trial spaces are enriched with functions based on residuals of the strong equations in each element and edge partition. The strategy le...

Computer simulation of vehicle collisions has improved significantly over the past decade. With advances in computer technology, nonlinear finite element codes, and material models, full-scale simulation of such complex dynamic interactions is becoming ever more possible. In this study, an explicit three-dimensional nonlinear finite element code, LS-DYNA, is used to demonstrate the capabilities...

In this paper we propose and investigate some edge element approximations for three Maxwell systems in three dimensions: the stationary Maxwell equations, the time-harmonic Maxwell equations and the time-dependent Maxwell equations. These approximations have three novel features. First, the resulting discrete edge element systems can be solved by some existing preconditioned solvers with optima...

We study an efficient finite element method for the NS-ω model, that uses van Cittert approximate deconvolution to improve accuracy and Scott-Vogelius elements to provide pointwise mass conservative solutions and remove the dependence of the (often large) Bernoulli pressure error on the velocity error. We provide a complete numerical analysis of the method, including well-posedness, uncondition...

In this paper, we introduce an iterative scheme for finding a common element of the set of solutions of the general equilibrium problem and the set of fixed point of nonexpansive mappings in Banach space. Under suitable conditions, some strong convergence theorem for approximating a common element of the above two sets are obtained. Results obtained in this paper improve the previously known re...