Numerical Analysis and Scientific Computing Preprint Seria New Homogenization Method for Diffusion Equations

Numerical Analysis and Scientific Computing Preprint Seria LU factorizations and ILU preconditioning for stabilized discretizations of incompressible Navier-Stokes equations

Numerical Analysis and Scientific Computing Preprint Seria A semi-Largangian method on dynamically adapted octree meshes

Numerical Analysis and Scientific Computing Preprint Seria An Eulerian space-time finite element method for diffusion problems on evolving surfaces

In this paper, we study numerical methods for the solution of partial differential equations on evolving surfaces. The evolving hypersurface in Rd defines a d-dimensional spacetime manifold in the space-time continuum Rd+1. We derive and analyze a variational formulation for a class of diffusion problems on the space-time manifold. For this variational formulation new well-posedness and stabili...

Numerical Analysis and Scientific Computing Preprint Seria A two-energies principle for the biharmonic equation and an a posteriori error estimator for an interior penalty discontinuous Galerkin approximation

Numerical Analysis and Scientific Computing Preprint Seria A trace finite element method for a class of coupled bulk-interface transport problems

In this paper we study a system of advection-diffusion equations in a bulk domain coupled to an advection-diffusion equation on an embedded surface. Such systems of coupled partial differential equations arise in, for example, the modeling of transport and diffusion of surfactants in two-phase flows. The model considered here accounts for adsorption-desorption of the surfactants at a sharp inte...