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IgA-BEM for 3D Helmholtz problems using conforming and non-conforming multi-patch discretizations and B-spline tailored numerical integrationDegli Esposti, Bruno ...An Isogeometric Boundary Element Method (IgA-BEM) is considered for the numerical solution of Helmholtz problems on 3D bounded or unbounded domains, admitting a smooth multi-patch representation of ... their finite boundary surface. The discretization spaces are formed by ▫$C^0$▫ inter-patch continuous functional spaces whose restriction to a patch simplifies to the span of tensor product B-splines composed with the given patch NURBS parameterization. Both conforming and non-conforming spaces are allowed, so that local refinement is possible at the patch level. For regular and singular integration, the proposed model utilizes a numerical procedure defined on the support of each trial B-spline function, which makes possible a function-by-function implementation of the matrix assembly phase. Spline quasi-interpolation is the common ingredient of all the considered quadrature rules; in the singular case it is combined with a B-spline recursion over the spline degree and with a singularity extraction technique, extended to the multi-patch setting for the first time. A threshold selection strategy is proposed to automatically distinguish between nearly singular and regular integrals. The non-conforming ▫$C^0$▫ joints between spline spaces on different patches are implemented as linear constraints based on knot removal conditions, and do not require a hierarchical master-slave relation between neighbouring patches. Numerical examples on relevant benchmarks show that the expected convergence orders are achieved with uniform discretization and a small number of uniformly spaced quadrature nodes.Source: Computers & mathematics with applications. - ISSN 0898-1221 (Vol. 147, Oct. 2023, str. 164-184)Type of material - article, component part ; adult, seriousPublish date - 2023Language - englishCOBISS.SI-ID - 178695171
Author
Degli Esposti, Bruno |
Falini, Antonella |
Kanduč, Tadej, 1985- |
Sampoli, Maria Lucia |
Sestini, Alessandra
Topics
Helmholtz equation |
isogeometric analysis |
boundary element method |
non-conforming discretization |
singular integral |
nearly singular integral |
numerical integration |
B-spline quasi-interpolation
source: Computers & mathematics with applications. - ISSN 0898-1221 (Vol. 147, Oct. 2023, str. 164-184)
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Degli Esposti, Bruno | |
Falini, Antonella | |
Kanduč, Tadej, 1985- | 32770 |
Sampoli, Maria Lucia | |
Sestini, Alessandra |
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