41 citations · 369 across the 28 of their papers we have counts for
5 papers · 1 filter
Adaptive space-time BEM for the heat equation
Gregor Gantner, Raymond van Venetië
We consider the space-time boundary element method (BEM) for the heat equation with prescribed initial and Dirichlet data. We propose a residual-type a posteriori error estimator t…
Adaptive BEM for elliptic PDE systems, part II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations
Gregor Gantner, Dirk Praetorius
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 wei…
Mathematical foundations of adaptive isogeometric analysis
Annalisa Buffa, Gregor Gantner, Carlotta Giannelli +2
This paper reviews the state of the art and discusses recent developments in the field of adaptive isogeometric analysis, with special focus on the mathematical theory. This includ…
Efficient numerical approximation of a non-regular Fokker--Planck equation associated with first-passage time distributions
Udo Boehm, Sonja Cox, Gregor Gantner +1
In neuroscience, the distribution of a decision time is modelled by means of a one-dimensional Fokker--Planck equation with time-dependent boundaries and space-time-dependent drift…
Goal-oriented adaptive finite element methods with optimal computational complexity
Roland Becker, Gregor Gantner, Michael Innerberger +1
We consider a linear symmetric and elliptic PDE and a linear goal functional. We design and analyze a goal-oriented adaptive finite element method, which steers the adaptive mesh-r…