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Computing Singular and Near-Singular Integrals over Curved Boundary Elements: The Strongly Singular Case

Year: 2024

Type: article

Abstract: . We present algorithms for computing strongly singular and near-singular surface integrals over curved triangular patches, based on singularity subtraction, the continuation approach, and transplanted Gauss quadrature. We demonstrate the accuracy and robustness of our method for quadratic basis functions and quadratic triangles by integrating it into a boundary element code and solving several scattering problems in three dimensions. We also give numerical evidence that the utilization of curved boundary elements enhances computational efficiency compared to conventional planar elements.

Source: SIAM Journal on Scientific Computing

DOI: 10.1137/23m1605594

Authors: Hadrien Montanelli, Francis Collino, Houssem Haddar

Institutions: Institut national de recherche en sciences et technologies du numérique, École Nationale Supérieure de Techniques Avancées, Institut Polytechnique de Paris, École Nationale Supérieure de Techniques Avancées Paris

Language: English

Topic: Advanced Numerical Analysis Techniques

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4405006003

FWCI: 1.004

Cites: 34

Cited by: 5

Related to: 10