Estimates of Modeling Errors for Linear Elliptic Problems

Dr. Tatiana Samrowski

July 1, 2011, 10 a.m. HF 136

We consider dimension reduction and geometry simplifying models for linear elliptic problems. For the corresponding modeling errors, we derive guaranteed bounds of functional type and present a new combined modeling discretization strategy, which provides an economical way of getting an approximate solution with an a priori given accuracy based upon balancing modeling and discretization errors.