Contents/conteúdo

Mathematics Department Técnico Técnico

Colloquium  RSS

07/12/2000, 17:00 — 18:00 — Amphitheatre Va5, Civil Engineering Building
, Universität Stuttgart

Foundation and Application of Boundary Element Methods

First we consider some basic properties of integral operators as pseudodifferential operators. Boundary integral operators and non-local operators are mostly classical pseudodifferential operators defined either by the fundamental solution or a parametrix or Levi functions. The decisive properties of these operators are characterized by corresponding pseudo-homogeneous expansions of the kernels of corresponding general integral operators. These expansions are decisive for the mapping and smoothness properties of these non-local operators which one needs for appropriate discretizations. For stability and convergence of discrete schemes, strong ellipticity plays an essential role. For strongly elliptic boundary value problems, integral operators of the first kind inherit strong ellipticity under mild additional assumptions.

The lecture is based on: George C. Hsiao, Wolfgang L. Wendland: Boundary Integral Equations (in preparation).

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The Mathematics Colloquium is a series of monthly talks organized by the Department of Mathematics of IST, aiming to be a forum for the presentation of mathematical ideas or ideas about Mathematics. The Colloquium welcomes the participation of faculty, researchers and undergraduate or graduate students, of IST or other institutions, and is seen as an opportunity of bringing together and fostering the building up of ideas in an informal atmosphere.

Organizers: Conceição Amado, Lina Oliveira e Maria João Borges.