We present a novel approach to the parallelization of the parabolic fast multipole method for a space-time boundary element method for the heat equation. We exploit the special temporal structure of the involved operators to provide an efficient distributed parallelization with respect to time and with a one-directional communication pattern. On top, we apply a task-based shared memory parallelization and SIMD vectorization. In the numerical tests we observe high efficiencies of our parallelization approach
This paper develops a parallel domain decomposition Laplace transform BEM algorithm for the solution...
ABSTRACT 't A major problem in achieving significant speed-up on parallel machines is the overh...
summary:We present a parallel solution algorithm for the transient heat equation in one and two spat...
We present a novel approach to the parallelization of the parabolic fast multipole method for a spac...
In this paper we introduce a new parallel solver for the weakly singular space-time boundary integra...
In this thesis we revisit theoretical background for spacetime boundary element methods for the hea...
The paper presents a combination of the time-parallel "parallel full approximation scheme in space a...
Import 02/11/2016Efficient parallel implementation of the boundary element method is crucial for its...
We present an adaptive methodology for the solution of (linear and) non-linear time dependent proble...
This article presents a fast sparse grid based space-time boundary element method for the solution o...
The numerical solution of a parabolic partial differential equation is usually calculated by a times...
The aim of this project is to test the “Parallel-in-time ” concept on the heat equation ut = ∆u with...
The presented paper concentrates on the boundary element method (BEM) for the heat equation in three...
This paper develops a parallel domain decomposition Laplace transform BEM algorithm for the solution...
In this paper, we develop a parallel domain decomposition Laplace transform BEM algorithm for the so...
This paper develops a parallel domain decomposition Laplace transform BEM algorithm for the solution...
ABSTRACT 't A major problem in achieving significant speed-up on parallel machines is the overh...
summary:We present a parallel solution algorithm for the transient heat equation in one and two spat...
We present a novel approach to the parallelization of the parabolic fast multipole method for a spac...
In this paper we introduce a new parallel solver for the weakly singular space-time boundary integra...
In this thesis we revisit theoretical background for spacetime boundary element methods for the hea...
The paper presents a combination of the time-parallel "parallel full approximation scheme in space a...
Import 02/11/2016Efficient parallel implementation of the boundary element method is crucial for its...
We present an adaptive methodology for the solution of (linear and) non-linear time dependent proble...
This article presents a fast sparse grid based space-time boundary element method for the solution o...
The numerical solution of a parabolic partial differential equation is usually calculated by a times...
The aim of this project is to test the “Parallel-in-time ” concept on the heat equation ut = ∆u with...
The presented paper concentrates on the boundary element method (BEM) for the heat equation in three...
This paper develops a parallel domain decomposition Laplace transform BEM algorithm for the solution...
In this paper, we develop a parallel domain decomposition Laplace transform BEM algorithm for the so...
This paper develops a parallel domain decomposition Laplace transform BEM algorithm for the solution...
ABSTRACT 't A major problem in achieving significant speed-up on parallel machines is the overh...
summary:We present a parallel solution algorithm for the transient heat equation in one and two spat...