We present a new mixed finite element method for solving the extended Fisher-Kolmogorov (EFK) equation. We first decompose the EFK equation as the two second-order equations, then deal with a second-order equation employing finite element method, and handle the other second-order equation using a new mixed finite element method. In the new mixed finite element method, the gradient ∇u belongs to...

The pressure correction scheme is combined with interior penalty discontinuous Galerkin method to solve the time-dependent Navier–Stokes equations. Optimal error estimates are derived for velocity in L2 norm time and space. Error bounds discrete derivative of also established. analysis challenging technical based on appropriate use lift operators duality arguments.

In this article we consider a priori error and pointwise estimates for finite element approximations of solutions to semilinear elliptic boundary value problems in d > 2 space dimensions, with nonlinearities satisfying critical growth conditions. It is well-understood how mesh geometry impacts finite element interpolant quality, and leads to the reasonable notion of shape regular simplex meshes...

Observed correlations between atmospheric concentrations of CO and CO represent potentially powerful information for improving CO surface flux estimates through coupled CO -CO inverse analyses. We explore the value of these correlations in improving estimates of regional CO fluxes in East Asia by using aircraft observations of CO and CO from the TRACE-P campaign over the NW Pacific in March, 20...

[1] We use aircraft observations of continental outflow over the western Pacific from the Transport and Chemical Evolution over the Pacific (TRACE-P) mission (March– April 2001), in combination with an optimal estimation inverse model, to improve emission estimates of carbon monoxide (CO) from Asia. A priori emissions and their errors are from a customized bottom-up Asian emission inventory for...