The analysis of singular perturbed differential equations began early in the twentieth
century, when approximate solutions were constructed from asymptotic expansions …

In recent years there have been significant developments in the development of stable and
accurate finite element procedures for the numerical approximation of a wide range of fluid …

In this paper, we describe a finite element formulation for the numerical solution of the
stationary incompressible Navier–Stokes equations including Coriolis forces and the …

In this paper we analyze a stabilized finite element approximation for the incompressible
Navier–Stokes equations based on the subgrid-scale concept. The essential point is that we …

This book is a follow-up to the introductory text written by the same authors. The primary
emphasis on this book is linear and nonlinear partial differential equations with particular …

A Step-by-step Guide to Develo** Innovative Computational Tools for Shallow
Geothermal Systems Geothermal heat is a viable source of energy and its environmental …

We analyze a nonlinear shock-capturing scheme for $ H^ 1$-conform-ing, piecewise-affine
finite element approximations of linear elliptic problems. The meshes are assumed to satisfy …

A numerical method to approximate partial differential equations on meshes that do not
conform to the domain boundaries is introduced. The proposed method is conceptually …

Before proceeding with the variational formulation of the fluid-structure coupled system, let
us look at the convection-diffusion-reaction (CDR) equation which forms a canonical …

We investigate stabilized Galerkin approximations of linear and nonlinear convection–
diffusion-reaction equations. We derive nonlinear streamline and cross-wind diffusion …