Zeitschriftenartikel:
G. Gantner, D. Praetorius:
"Adaptive BEM for elliptic PDE systems, Part II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations";
Computers and Mathematics with Applications,
117
(2022),
S. 74
- 76.
Kurzfassung englisch:
We formulate and analyze an adaptive algorithm for isogeometric analysis with hierarchical B-splines for weakly-singular boundary integral equations. We prove that the employed weighted-residual error estimator is reliable and converges at optimal algebraic rate. Numerical experiments with isogeometric boundary elements for the 3D Poisson problem confirm the theoretical results, which also cover general elliptic systems like linear elasticity.
"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.1016/j.camwa.2022.04.006
Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.