An alternative extended linear system for boundary value problems on locally perturbed geometries

JOURNAL OF COMPUTATIONAL PHYSICS

卷:433

Article

Zhang, Yabin¹  Gillman, Adrianna² 

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[2] CU Boulder, Dept Appl Math, Boulder, CO 80309 USA

关键词: Fast direct solver;    Integral equation;    Locally perturbed geometry;   

DOI  :  10.1016/j.jcp.2021.110182

来源: Elsevier

【 摘 要 】

This manuscript presents a new extended linear system for integral equation based techniques for solving boundary value problems on locally perturbed geometries. The new extended linear system is similar to a previously presented technique for which the authors have constructed a fast direct solver. The key features of the work presented in this paper are that the fast direct solver is more efficient for the new extended linear system and that problems involving specialized quadrature for weakly singular kernels can be easily handled. Numerical results illustrate the improved performance of the fast direct solver for the new extended system when compared to the fast direct solver for the original extended system. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free