It is well known that finite element solutions for elliptic PDEs with Dirac measures as source
terms converge, due to the fact that the solution is not in H^1, suboptimal in classical norms …

We develop a constructive piecewise polynomial approximation theory in weighted Sobolev
spaces with Muckenhoupt weights for any polynomial degree. The main ingredients to …

In this article we develop a posteriori error estimates for second order linear elliptic problems
with point sources in two-and three-dimensional domains. We prove a global upper bound …

The purpose of this work is to illustrate how the theory of Muckenhoupt weights,
Muckenhoupt-weighted Sobolev spaces and the corresponding weighted norm inequalities …

The purpose of this work is the design and analysis of a reliable and efficient a posteriori
error estimator for the so-called pointwise tracking optimal control problem. This linear …

We present an optimal a priori error estimates of the elliptic problems with Dirac sources
away from the singular point using discontinuous and enriched Galerkin finite element …

We present a parallel matrix‐free implicit finite volume scheme for the solution of unsteady
three‐dimensional advection‐diffusion‐reaction equations with smooth and Dirac‐Delta …

This thesis is concerned with the simulation of blood flow and mass transport in vascularized
human tissue. Our mathematical model is based on a domain decomposition approach, ie …

In this thesis we consider mathematical models for systems of individuals that interact in a
social way. Typical examples of such systems are crowds of pedestrians, flocks of birds or …

State‐of‐the‐art distributed‐memory computer clusters contain multicore CPUs with 16 and
more cores. The second generation of the Intel Xeon Phi many‐core processor has more …