New BEM/BEM and BEM/FEM scalar potential formulations for magnetostatic problems

Rodopoulos, Dimitrios C.; Gortsas, Theodore V.; Polyzos, Konstantinos D.; Tsinopoulos, Stephanos V.

doi:10.1016/j.enganabound.2019.04.024

Cited by 9 publications

(1 citation statement)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Therefore, many researchers work on new approaches which are free from the weakness of classical methods. A wide group of such methods includes, among others, FEM-BEM hybrids [7,8], meshless methods [9,10], isogeometric analysis (IgA) [11,12], the virtual element method (VEM) [13,14] or the parametric integral equations systems (PIES) [15].…”

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