Optimizations of a fast multipole symmetric Galerkin boundary element method code

Dansou, Anicet; Mouhoubi, Saïda; Chazallon, Cyrille

doi:10.1007/s11075-019-00781-z

Cited by 3 publications

(2 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, the most important is huge reducing the RAM utilization. There are efficient implementations of the FMM for solving potential problems [31,32], also by the BEM [33,34]. Therefore, the authors of this paper have modified the PIES to include the FMM, and the fast PIES was obtained [35].…”

Section: Introductionmentioning

confidence: 99%

The FMM accelerated PIES with the modified binary tree in solving potential problems for the domains with curvilinear boundaries

Kużelewski

Zieniuk

2021

Numer Algor

View full text Add to dashboard Cite

The paper presents an accelerating of solving potential boundary value problems (BVPs) with curvilinear boundaries by modified parametric integral equations system (PIES). The fast multipole method (FMM) known from the literature was included into modified PIES. To consider complex curvilinear shapes of a boundary, the modification of a binary tree used by the FMM is proposed. The FMM combined with the PIES, called the fast PIES, also allows a significant reduction of random access memory (RAM) utilization. Therefore, it is possible to solve complex engineering problems on a standard personal computer (PC). The proposed algorithm is based on the modified PIES and allows for obtaining accurate solutions of complex BVPs described by the curvilinear boundary at a reasonable time on the PC.

show abstract

Section: Introductionmentioning

confidence: 99%

The FMM accelerated PIES with the modified binary tree in solving potential problems for the domains with curvilinear boundaries

Kużelewski

Zieniuk

2021

Numer Algor

View full text Add to dashboard Cite

show abstract

“…A new version of the code noted MBEMv3.0, is developed by Dansou et al in [10,11,12]. In this version, multiple strategies have been proposed and implemented for performance enhancement, including a data reusing technique, a shared memory parallelism using OpenMP directives and the proposal of a new sparse matrix method.…”

mentioning

confidence: 99%

Modeling of T/C Fatigue Test with Boundary Element Method and Linear Fracture Mechanics

et al. 2021

Self Cite

View full text Add to dashboard Cite

This work presents the simulation of 3D crack propagation in samples in order to determine fatigue life. The modellings have been achieved by using MBEMv3.0: a fast software based on the Symmetric Galerkin Boundary Element Method (SGBEM) accelerated with the Fast Multipole Method (FMM) in 3D elasticity. Fatigue crack propagation has been simulated with Paris law. We present the simulations of a tensile/compression fatigue test on cylindrical samples of a semi-coarse asphalt concrete considered as homogeneous, containing very small cracks. When the number of cycles increases, the cracks propagate, and we can observe a loss of rigidity of the sample. Parametric studies of the modelling parameters have been performed where the damage evolutions exhibit a typical shape that proves that, for asphalt concrete materials subjected to T/C fatigue test, the shape of the fatigue test curve is mainly governed by biasing effects at the beginning then by mechanical damage at the end.

show abstract

Modelling of the fatigue cracking resistance of grid reinforced asphalt concrete by coupling fast BEM and FEM

Dansou

Mouhoubi

Chazallon

et al. 2022

Road Materials and Pavement Design

Self Cite

View full text Add to dashboard Cite

We present a computational modeling approach aimed at investigating the effect of fiber grid reinforcement on crack opening displacement and fatigue crack propagation. Grid reinforcements are modeled using elastic membrane finite elements, while the cracked concrete is treated using a symmetric boundary element method (BEM), which in particular allows easy geometrical modelling and meshing of cracks. The BEM is accelerated by the fast multipole method, allowing the handling of potentially large BEM models entailed by three-dimensional configurations hosting multiple cracks. Fatigue crack growth is modelled using the Paris law. The proposed computational approach is first verified on a reinforced cracked beam, and then applied to a three-dimensional configuration featuring a grid-reinforced asphalt pavement.

show abstract

Optimizations of a fast multipole symmetric Galerkin boundary element method code

Cited by 3 publications

References 24 publications

The FMM accelerated PIES with the modified binary tree in solving potential problems for the domains with curvilinear boundaries

The FMM accelerated PIES with the modified binary tree in solving potential problems for the domains with curvilinear boundaries

Modeling of T/C Fatigue Test with Boundary Element Method and Linear Fracture Mechanics

Modelling of the fatigue cracking resistance of grid reinforced asphalt concrete by coupling fast BEM and FEM

Contact Info

Product

Resources

About