BEM++ Stage 2

Lead Research Organisation: University of Warwick
Department Name: Mathematics

Abstract

Abstracts are not currently available in GtR for all funded research. This is normally because the abstract was not required at the time of proposal submission, but may be because it included sensitive information such as personal details.

Publications

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Antonietti P (2015) High Order Discontinuous Galerkin Methods for Elliptic Problems on Surfaces in SIAM Journal on Numerical Analysis

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Jehl M (2015) A fast parallel solver for the forward problem in electrical impedance tomography. in IEEE transactions on bio-medical engineering

 
Description Many important questions in the sciences (e.g. physics or biology) rely on highly efficient and effective numerical simulations to verify assumptions or compare hypothesis. With increasing computer power, ever more complex problems can be simulated even on normal sized workstations. In this project we have focused on developing a software package for simulating coupled problems involving both equations posed in a 3d domain as well as equations posed on the boundary. In the domain the finite element method is used while for the surface both finite element and boundary element methods are available through this package. This makes it possible to simulate very complex problems in fluid dynamics or in cell biology for example. The underlying software is open source and thus available to all researchers interested in solving problems of this kind.
Exploitation Route The software developed is open source and thus available to interested researchers. It is based on two well known and well regarded packages (Dune and Bem++).
Sectors Aerospace, Defence and Marine,Environment,Healthcare,Manufacturing, including Industrial Biotechology,Other

 
Title Distributed and Unified Numerics Environment, release 2.4 
Description New release of the core modules of the Dune software library. This package provides the fundamental tools for solving complex systems of non linear partial differential equations with grid based discretizaton schemes like the finite element method. It provides central feature for the efficient simulation of many problems including prallelization, high order methods, and local grid adaptivity. 
Type Of Technology Software 
Year Produced 2015 
Open Source License? Yes  
Impact Important new release of a widely used software library. 
URL http://www.dune-project.org
 
Title Dune ALUGrid module 
Description Major new release of the ALUGrid manager which is one of the central grid manager available in the widely used Distributed and Unified Numerics Environment (Dune). Important improvements were made w.r.t. palletization, efficiency, and memory footprint as well as signigicant extensions in the feature set of the grid manager. 
Type Of Technology Software 
Year Produced 2014 
Open Source License? Yes  
Impact Increase in efficiency and flexibility available to all users of the Dune software framework. 
URL https://gitlab.dune-project.org/extensions/dune-alugrid