23.05.2012 to 25.05.2012

Alexandre d'Aspremont

ENS Paris

Alexandre d'Aspremont

16.05.2012

Daniel Szyld

Temple University, Philidelphia

Daniel B Szyld,

‘Modern Krylov Subspace Methods (and applications to Parabolic Control Problems),

A recording of this talk is available here.

01.05.2012 to 04.05.2012

Ron Elber

University of Texas

Ron Elber

30.04.2012 to 04.05.2012

David Hardy

University of Ilinois

David Hardy

01.05.2012 to 04.05.2012

Ross Walker

San Diego Supercomputer Center

Ross Walker

01.05.2012 to 04.05.2012

Glenn Martyna

University of Ilinois

Glenn Martyna

02.05.2012 to 04.05.2012

Claudio Zannoni

Bologna University

Claudio Zannoni

01.05.2012 to 04.05.2012

Charles Laughton

University of Nottingham

Charles Laughton

19.04.2012 to 24.04.2012

Philipp Kegel

Universitat Munster

Philipp Kegel

24.04.2012

Matthias Maishack

Brunel University

Title: p-FEM and p-BEM -- achieving high accuracy

Abstract: It is well known, that we can achieve exponential fast convergence by approximating the solution of a pde using either the p-version fem or bem if then solution is smooth, or using the hp-version with geometrical refined mesh if the solution has singularities. Achieving exponential fast convergence asymptotically proves to be surprisingly difficult, due to requirements on memory, solution time and the necessary numerical precision. In this presentation we investigate changes necessary to an existing fem/bem code, software tools for  converting the code to a different data type using a multi-precision package  and discuss implementation issues which arise from considerable more  time and memory consuming arithmetic operations. We will compare standard double precision (hardware supported), quad precision (compiler supported) and higher precision (additional Software package ).  We will present examples achieving errors with 1e-30 or less using p- and hp fem-bem methods in 1,2 and 3 dimensions.

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