2 citations · 2 across the 11 of their papers we have counts for
5 papers · 1 filter
Projection geometry and relaxed quasi-orthogonality for inf-sup stable Galerkin methods
Tsogtgerel Gantumur
We give an elementary, coordinate-free proof that uniformly inf-sup stable nested Petrov-Galerkin methods on Hilbert spaces satisfy relaxed general quasi-orthogonality. More precis…
Neural network realization of binary refinement iterates via a two-chart atlas selector
Tsogtgerel Gantumur
Refinement operators generate many functions used in wavelet constructions, subdivision schemes, and geometric modeling. Their finite iterates can develop rapidly increasing number…
Convergence rates of adaptive methods, Besov spaces, and multilevel approximation
Tsogtgerel Gantumur
This paper concerns characterizations of approximation classes associated to adaptive finite element methods with isotropic h-refinements. It is known from the seminal work of Bine…
On the convergence theory of adaptive mixed finite element methods for the Stokes problem
Tsogtgerel Gantumur
In the first part of this paper, we establish a conditional optimality result for an adaptive mixed finite element method for the stationary Stokes problem discretized by the stand…
Adaptive boundary element methods with convergence rates
Tsogtgerel Gantumur
This paper presents adaptive boundary element methods for positive, negative, as well as zero order operator equations, together with proofs that they converge at certain rates. Th…