3 citations · 6 across the 17 of their papers we have counts for
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math.NA2015
Multilevel quadrature for elliptic parametric partial differential equations in case of polygonal approximations of curved domains
Michael Griebel, Helmut Harbrecht, Michael D. Multerer
Multilevel quadrature methods for parametric operator equations such as the multilevel (quasi-) Monte Carlo method are closely related to the sparse tensor product approximation be…
math.NA2015★ 1 cited
Hyperbolic cross approximation in infinite dimensions
Dinh Dũng, Michael Griebel
We give tight upper and lower bounds of the cardinality of the index sets of certain hyperbolic crosses which reflect mixed Sobolev-Korobov-type smoothness and mixed Sobolev-analyt…
math.NA2015
Schwarz Iterative Methods: Infinite Space Splittings
Michael Griebel, Peter Oswald
We prove the convergence of greedy and randomized versions of Schwarz iterative methods for solving linear elliptic variational problems based on infinite space splittings of a Hil…