• Publications
  • Influence
An automatic multi-level solver switching strategy for PEEC-based EMC simulation
TLDR
A new, efficient and robust automatic solver switching strategy, called α-SAMG, tailored to linear systems of equations arising in PEEC-based EMC simulation, shown that α- SAMG provides a robust and fast solution strategy. Expand
Combined a posteriori modeling-discretization error estimate for elliptic problems with complicated interfaces
We consider linear elliptic problems with variable coefficients, which may sharply change values and have a complex behavior in the domain. For these problems, a new combined discretization- modelingExpand
A posteriori error majorants of the modeling errors for elliptic homogenization problems
In this paper, we derive new two-sided a posteriori estimates of the modeling errors for linear elliptic boundary value problems with periodic coefficients solved by homogenization. Our approach isExpand
Estimates of dimension reduction errors for stationary reaction–diffusion problems
We consider the stationary reaction–diffusion model in a bounded domain $ \Omega \in {\mathbb{R}^3} $, which size along one coordinate direction is essentially smaller than along the others. By anExpand
Functional A Posteriori Error Estimation for Stationary Reaction-Convection-Diffusion Problems
TLDR
It is observed that the new functional type a posteriori error estimator for the finite element discretization of the stationary reaction-convection-diffusion equation exhibits a good efficiency also with convection-dominated problem settings. Expand
Two-sided estimates of the modeling error for elliptic homogenization problems
In this paper, we derive new two-sided estimates of modeling errors for linear elliptic boundary value problems with periodic coefficients solved by homogenization method. Our approach is based onExpand
Combined a posteriori modelling-discretization error estimate for elliptic problems with variable coefficients
We consider linear elliptic problems with variable coefficients, which may sharply change values and have a complex behavior in the domain. For these problems, a new combined discretization-modelingExpand
Combined Error Estimates in the Case of Dimension Reduction
  • T. Samrowski
  • Mathematics, Computer Science
  • Comput. Methods Appl. Math.
  • 2014
TLDR
A numerical strategy based on the balancing modeling and discretization errors can be derived in order to provide an economical way of getting an approximate solution with an a priori given accuracy. Expand
Plasmon resonances of gold nanostars
In this work a fully three-dimensional parameterization model for the investigations of gold nanostars by the ultraspherical Spectral Boundary Integral Equation method has been developed. The set ofExpand
...
1
2
3
...