Enrichment of boundary element and finite element approximations using non-polynomial functions
Jon Trevelyan,
Professor in the Mechanics group at the School of Engineering
Durham University
22 February 2013, Watts 504 @ 1pm
Abstract
The Finite Element Method (FEM) and Boundary Element Method (BEM) are well established computational methods for solving a wide variety of problems in science and engineering. While their use is widespread, there are classes of problems for which the classical approaches based on polynomials are cumbersome, sometimes to the extent that they become inapplicable. Recent advances have been made in "enriched" FEM and BEM approximations that show how efficient and highly accurate solutions can be obtained to many of these more challenging problems. The enrichment comes from injecting other functions into the approximation that are better suited (in one way or another) to the problem at hand. In this seminar, the focus will be on obtaining accurate and efficient solutions to problems in high frequency wave scattering, fracture mechanics and thermal transients.