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.

19.04.2012 to 21.04.2012

Kunle Olukotun

Stanford University

Kunle Olukotun

20.04.2012

Horacio Gonzalez-Velez

Robert Gordon University

Horacio Gonzalez-Velez

20.04.2012

Matthias Christen

Universita della Svissera Italiana

Matthias Christen

22.03.2012

Nick Trefethen

University of Oxford

Nick Trefethen

‘JACOBI 1825, CAUCHY 1826, POISSON 1827’

This visit was joint with ACM Seminar Series

01.03.2012

Konstatinos Zygalakis

University of Southampton & EPFL

Konstatinos Zygalakis

Qualitative Behaviour of Numerical Methods for SDEs and Applications

22.02.2012 to 24.02.2012

Gabriel Stoltz

CERMICS, Ecolde des Ponts ParisTech

Gabriel Stoltz

19.01.2012

Patrick Lam

University of Waterloo, Canada

Patrick Lam

‘Views, Programming Languages Research, and HPC’

09.01.2012 to 10.01.2012

Michael Giles

University of Oxford

Michael Giles

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