Matches in SemOpenAlex for { <https://semopenalex.org/work/W2994835364> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W2994835364 abstract "The convergence rate of classic domain decomposition methods in general deteriorates severely for large discontinuities in the coefficient functions of the considered partial differential equation. To retain the robustness for such highly heterogeneous problems, the coarse space can be enriched by additional coarse basis functions. These can be obtained by solving local generalized eigenvalue problems on subdomain edges. In order to reduce the number of eigenvalue problems and thus the computational cost, we use a neural network to predict the geometric location of critical edges, i.e., edges where the eigenvalue problem is indispensable. As input data for the neural network, we use function evaluations of the coefficient function within the two subdomains adjacent to an edge. In the present article, we examine the effect of computing the input data only in a neighborhood of the edge, i.e., on slabs next to the edge. We show numerical results for both the training data as well as for a concrete test problem in form of a microsection subsection for linear elasticity problems. We observe that computing the sampling points only in one half or one quarter of each subdomain still provides robust algorithms." @default.
- W2994835364 created "2019-12-26" @default.
- W2994835364 creator A5033189715 @default.
- W2994835364 creator A5041978201 @default.
- W2994835364 creator A5069751100 @default.
- W2994835364 creator A5081654668 @default.
- W2994835364 date "2020-08-22" @default.
- W2994835364 modified "2023-10-16" @default.
- W2994835364 title "Machine Learning in Adaptive FETI-DP: Reducing the Effort in Sampling" @default.
- W2994835364 cites W1978592052 @default.
- W2994835364 cites W1985085190 @default.
- W2994835364 cites W2005616690 @default.
- W2994835364 cites W2062446082 @default.
- W2994835364 cites W2124087857 @default.
- W2994835364 cites W2520892807 @default.
- W2994835364 cites W2803433539 @default.
- W2994835364 cites W2904048988 @default.
- W2994835364 cites W2907222620 @default.
- W2994835364 cites W4236362309 @default.
- W2994835364 cites W2791348684 @default.
- W2994835364 doi "https://doi.org/10.1007/978-3-030-55874-1_58" @default.
- W2994835364 hasPublicationYear "2020" @default.
- W2994835364 type Work @default.
- W2994835364 sameAs 2994835364 @default.
- W2994835364 citedByCount "0" @default.
- W2994835364 crossrefType "book-chapter" @default.
- W2994835364 hasAuthorship W2994835364A5033189715 @default.
- W2994835364 hasAuthorship W2994835364A5041978201 @default.
- W2994835364 hasAuthorship W2994835364A5069751100 @default.
- W2994835364 hasAuthorship W2994835364A5081654668 @default.
- W2994835364 hasBestOaLocation W29948353642 @default.
- W2994835364 hasConcept C104317684 @default.
- W2994835364 hasConcept C11413529 @default.
- W2994835364 hasConcept C121332964 @default.
- W2994835364 hasConcept C126255220 @default.
- W2994835364 hasConcept C127162648 @default.
- W2994835364 hasConcept C134306372 @default.
- W2994835364 hasConcept C135628077 @default.
- W2994835364 hasConcept C154945302 @default.
- W2994835364 hasConcept C15627037 @default.
- W2994835364 hasConcept C158693339 @default.
- W2994835364 hasConcept C185592680 @default.
- W2994835364 hasConcept C198880260 @default.
- W2994835364 hasConcept C28826006 @default.
- W2994835364 hasConcept C31258907 @default.
- W2994835364 hasConcept C33923547 @default.
- W2994835364 hasConcept C41008148 @default.
- W2994835364 hasConcept C50644808 @default.
- W2994835364 hasConcept C55493867 @default.
- W2994835364 hasConcept C57869625 @default.
- W2994835364 hasConcept C5917680 @default.
- W2994835364 hasConcept C62520636 @default.
- W2994835364 hasConcept C63479239 @default.
- W2994835364 hasConcept C97355855 @default.
- W2994835364 hasConceptScore W2994835364C104317684 @default.
- W2994835364 hasConceptScore W2994835364C11413529 @default.
- W2994835364 hasConceptScore W2994835364C121332964 @default.
- W2994835364 hasConceptScore W2994835364C126255220 @default.
- W2994835364 hasConceptScore W2994835364C127162648 @default.
- W2994835364 hasConceptScore W2994835364C134306372 @default.
- W2994835364 hasConceptScore W2994835364C135628077 @default.
- W2994835364 hasConceptScore W2994835364C154945302 @default.
- W2994835364 hasConceptScore W2994835364C15627037 @default.
- W2994835364 hasConceptScore W2994835364C158693339 @default.
- W2994835364 hasConceptScore W2994835364C185592680 @default.
- W2994835364 hasConceptScore W2994835364C198880260 @default.
- W2994835364 hasConceptScore W2994835364C28826006 @default.
- W2994835364 hasConceptScore W2994835364C31258907 @default.
- W2994835364 hasConceptScore W2994835364C33923547 @default.
- W2994835364 hasConceptScore W2994835364C41008148 @default.
- W2994835364 hasConceptScore W2994835364C50644808 @default.
- W2994835364 hasConceptScore W2994835364C55493867 @default.
- W2994835364 hasConceptScore W2994835364C57869625 @default.
- W2994835364 hasConceptScore W2994835364C5917680 @default.
- W2994835364 hasConceptScore W2994835364C62520636 @default.
- W2994835364 hasConceptScore W2994835364C63479239 @default.
- W2994835364 hasConceptScore W2994835364C97355855 @default.
- W2994835364 hasLocation W29948353641 @default.
- W2994835364 hasLocation W29948353642 @default.
- W2994835364 hasOpenAccess W2994835364 @default.
- W2994835364 hasPrimaryLocation W29948353641 @default.
- W2994835364 hasRelatedWork W11653831 @default.
- W2994835364 hasRelatedWork W1268192 @default.
- W2994835364 hasRelatedWork W12888405 @default.
- W2994835364 hasRelatedWork W156643 @default.
- W2994835364 hasRelatedWork W4433024 @default.
- W2994835364 hasRelatedWork W5194643 @default.
- W2994835364 hasRelatedWork W7294314 @default.
- W2994835364 hasRelatedWork W8201494 @default.
- W2994835364 hasRelatedWork W8259573 @default.
- W2994835364 hasRelatedWork W11130527 @default.
- W2994835364 isParatext "false" @default.
- W2994835364 isRetracted "false" @default.
- W2994835364 magId "2994835364" @default.
- W2994835364 workType "book-chapter" @default.