Journal
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
Volume 62, Issue -, Pages 141-153Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.enganabound.2015.10.003
Keywords
Isogeometric analysis; Boundary element method; Collocation; A posteriori error estimate; Adaptive mesh-refinement
Funding
- Austrian Science Fund (FWF) [P27005]
- FWF doctoral school Nonlinear PDEs [W1245]
- Austrian Science Fund (FWF) [W1245, P27005] Funding Source: Austrian Science Fund (FWF)
- Austrian Science Fund (FWF) [P 27005, P 29096] Funding Source: researchfish
Ask authors/readers for more resources
We derive and discuss a posteriori error estimators for Galerkin and collocation IGA boundary element methods for weakly singular integral equations of the first-kind in 2D. While recent own work considered the Faermann residual error estimator for Galerkin IGA boundary element methods, the present work focuses more on collocation and weighted-residual error estimators, which provide reliable upper bounds for the energy error. Our analysis allows piecewise smooth parametrizations of the boundary, local mesh-refinement, and related standard piecewise polynomials as well as NURBS. We formulate an adaptive algorithm which steers the local mesh-refinement and the multiplicity of the knots. Numerical experiments show that the proposed adaptive strategy leads to optimal convergence, and related IGA boundary element methods are superior to standard boundary element methods with piecewise polynomials. (C) 2015 Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available