Estimates of Modeling Errors for Linear Elliptic Problems

Dr. Tatiana Samrowski

July 1, 2011, 8 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.