Matches in SemOpenAlex for { <https://semopenalex.org/work/W4306800002> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W4306800002 abstract "This work proposes four novel hybrid quadrature schemes for the efficient and accurate evaluation of weakly singular boundary integrals (1/r kernel) on arbitrary smooth surfaces. Such integrals appear in boundary element analysis for several partial differential equations including the Stokes equation for viscous flow and the Helmholtz equation for acoustics. The proposed quadrature schemes apply a Duffy transform-based quadrature rule to surface elements containing the singularity and classical Gaussian quadrature to the remaining elements. Two of the four schemes additionally consider a special treatment for elements near to the singularity, where refined Gaussian quadrature and a new moment-fitting quadrature rule are used. The hybrid quadrature schemes are systematically studied on flat B-spline patches and on NURBS spheres considering two different sphere discretizations: An exact single-patch sphere with degenerate control points at the poles and an approximate discretization that consist of six patches with regular elements. The efficiency of the quadrature schemes is further demonstrated in boundary element analysis for Stokes flow, where steady problems with rotating and translating curved objects are investigated in convergence studies for both, mesh and quadrature refinement. Much higher convergence rates are observed for the proposed new schemes in comparison to classical schemes." @default.
- W4306800002 created "2022-10-20" @default.
- W4306800002 creator A5022137325 @default.
- W4306800002 creator A5043499215 @default.
- W4306800002 date "2022-10-16" @default.
- W4306800002 modified "2023-10-16" @default.
- W4306800002 title "New hybrid quadrature schemes for weakly singular kernels applied to isogeometric boundary elements for 3D Stokes flow" @default.
- W4306800002 doi "https://doi.org/10.48550/arxiv.2210.08507" @default.
- W4306800002 hasPublicationYear "2022" @default.
- W4306800002 type Work @default.
- W4306800002 citedByCount "0" @default.
- W4306800002 crossrefType "posted-content" @default.
- W4306800002 hasAuthorship W4306800002A5022137325 @default.
- W4306800002 hasAuthorship W4306800002A5043499215 @default.
- W4306800002 hasBestOaLocation W43068000021 @default.
- W4306800002 hasConcept C120665830 @default.
- W4306800002 hasConcept C121332964 @default.
- W4306800002 hasConcept C127349201 @default.
- W4306800002 hasConcept C134306372 @default.
- W4306800002 hasConcept C135628077 @default.
- W4306800002 hasConcept C14103991 @default.
- W4306800002 hasConcept C154945302 @default.
- W4306800002 hasConcept C16171025 @default.
- W4306800002 hasConcept C162046254 @default.
- W4306800002 hasConcept C167196314 @default.
- W4306800002 hasConcept C167590341 @default.
- W4306800002 hasConcept C172657837 @default.
- W4306800002 hasConcept C182310444 @default.
- W4306800002 hasConcept C184599523 @default.
- W4306800002 hasConcept C19191322 @default.
- W4306800002 hasConcept C2524010 @default.
- W4306800002 hasConcept C2775924081 @default.
- W4306800002 hasConcept C33923547 @default.
- W4306800002 hasConcept C38349280 @default.
- W4306800002 hasConcept C41008148 @default.
- W4306800002 hasConcept C47446073 @default.
- W4306800002 hasConcept C48265008 @default.
- W4306800002 hasConcept C54691486 @default.
- W4306800002 hasConcept C62869609 @default.
- W4306800002 hasConcept C63632240 @default.
- W4306800002 hasConcept C6866599 @default.
- W4306800002 hasConcept C73000952 @default.
- W4306800002 hasConcept C97355855 @default.
- W4306800002 hasConceptScore W4306800002C120665830 @default.
- W4306800002 hasConceptScore W4306800002C121332964 @default.
- W4306800002 hasConceptScore W4306800002C127349201 @default.
- W4306800002 hasConceptScore W4306800002C134306372 @default.
- W4306800002 hasConceptScore W4306800002C135628077 @default.
- W4306800002 hasConceptScore W4306800002C14103991 @default.
- W4306800002 hasConceptScore W4306800002C154945302 @default.
- W4306800002 hasConceptScore W4306800002C16171025 @default.
- W4306800002 hasConceptScore W4306800002C162046254 @default.
- W4306800002 hasConceptScore W4306800002C167196314 @default.
- W4306800002 hasConceptScore W4306800002C167590341 @default.
- W4306800002 hasConceptScore W4306800002C172657837 @default.
- W4306800002 hasConceptScore W4306800002C182310444 @default.
- W4306800002 hasConceptScore W4306800002C184599523 @default.
- W4306800002 hasConceptScore W4306800002C19191322 @default.
- W4306800002 hasConceptScore W4306800002C2524010 @default.
- W4306800002 hasConceptScore W4306800002C2775924081 @default.
- W4306800002 hasConceptScore W4306800002C33923547 @default.
- W4306800002 hasConceptScore W4306800002C38349280 @default.
- W4306800002 hasConceptScore W4306800002C41008148 @default.
- W4306800002 hasConceptScore W4306800002C47446073 @default.
- W4306800002 hasConceptScore W4306800002C48265008 @default.
- W4306800002 hasConceptScore W4306800002C54691486 @default.
- W4306800002 hasConceptScore W4306800002C62869609 @default.
- W4306800002 hasConceptScore W4306800002C63632240 @default.
- W4306800002 hasConceptScore W4306800002C6866599 @default.
- W4306800002 hasConceptScore W4306800002C73000952 @default.
- W4306800002 hasConceptScore W4306800002C97355855 @default.
- W4306800002 hasLocation W43068000021 @default.
- W4306800002 hasOpenAccess W4306800002 @default.
- W4306800002 hasPrimaryLocation W43068000021 @default.
- W4306800002 hasRelatedWork W2125520544 @default.
- W4306800002 hasRelatedWork W2289189603 @default.
- W4306800002 hasRelatedWork W2894510230 @default.
- W4306800002 hasRelatedWork W2929787118 @default.
- W4306800002 hasRelatedWork W4220925535 @default.
- W4306800002 hasRelatedWork W4294281846 @default.
- W4306800002 hasRelatedWork W4306800002 @default.
- W4306800002 hasRelatedWork W4317584040 @default.
- W4306800002 hasRelatedWork W4377005030 @default.
- W4306800002 hasRelatedWork W4377018411 @default.
- W4306800002 isParatext "false" @default.
- W4306800002 isRetracted "false" @default.
- W4306800002 workType "article" @default.