Matches in SemOpenAlex for { <https://semopenalex.org/work/W4290806098> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W4290806098 abstract "In this article, we consider elliptic diffusion problems with an anisotropic random diffusion coefficient. We model the notable direction in terms of a random vector field and derive regularity results for the solution's dependence on the random parameter. It turns out that the decay of the vector field's Karhunen-Loeve expansion entirely determines this regularity. The obtained results allow for sophisticated quadrature methods, such as the quasi-Monte Carlo method or the anisotropic sparse grid quadrature, in order to approximate quantities of interest, like the solution's mean or the variance. Numerical examples in three spatial dimensions are provided to supplement the presented theory." @default.
- W4290806098 created "2022-08-12" @default.
- W4290806098 creator A5005562022 @default.
- W4290806098 creator A5063917682 @default.
- W4290806098 creator A5090163591 @default.
- W4290806098 date "2016-07-19" @default.
- W4290806098 modified "2023-09-29" @default.
- W4290806098 title "Uncertainty Quantification for PDEs with Anisotropic Random Diffusion" @default.
- W4290806098 doi "https://doi.org/10.48550/arxiv.1607.05584" @default.
- W4290806098 hasPublicationYear "2016" @default.
- W4290806098 type Work @default.
- W4290806098 citedByCount "0" @default.
- W4290806098 crossrefType "posted-content" @default.
- W4290806098 hasAuthorship W4290806098A5005562022 @default.
- W4290806098 hasAuthorship W4290806098A5063917682 @default.
- W4290806098 hasAuthorship W4290806098A5090163591 @default.
- W4290806098 hasBestOaLocation W42908060981 @default.
- W4290806098 hasConcept C105795698 @default.
- W4290806098 hasConcept C120665830 @default.
- W4290806098 hasConcept C121332964 @default.
- W4290806098 hasConcept C121864883 @default.
- W4290806098 hasConcept C122123141 @default.
- W4290806098 hasConcept C130402806 @default.
- W4290806098 hasConcept C134306372 @default.
- W4290806098 hasConcept C138405894 @default.
- W4290806098 hasConcept C156439662 @default.
- W4290806098 hasConcept C19499675 @default.
- W4290806098 hasConcept C28826006 @default.
- W4290806098 hasConcept C32230216 @default.
- W4290806098 hasConcept C33923547 @default.
- W4290806098 hasConcept C62520636 @default.
- W4290806098 hasConcept C62869609 @default.
- W4290806098 hasConcept C69357855 @default.
- W4290806098 hasConcept C85725439 @default.
- W4290806098 hasConcept C97355855 @default.
- W4290806098 hasConceptScore W4290806098C105795698 @default.
- W4290806098 hasConceptScore W4290806098C120665830 @default.
- W4290806098 hasConceptScore W4290806098C121332964 @default.
- W4290806098 hasConceptScore W4290806098C121864883 @default.
- W4290806098 hasConceptScore W4290806098C122123141 @default.
- W4290806098 hasConceptScore W4290806098C130402806 @default.
- W4290806098 hasConceptScore W4290806098C134306372 @default.
- W4290806098 hasConceptScore W4290806098C138405894 @default.
- W4290806098 hasConceptScore W4290806098C156439662 @default.
- W4290806098 hasConceptScore W4290806098C19499675 @default.
- W4290806098 hasConceptScore W4290806098C28826006 @default.
- W4290806098 hasConceptScore W4290806098C32230216 @default.
- W4290806098 hasConceptScore W4290806098C33923547 @default.
- W4290806098 hasConceptScore W4290806098C62520636 @default.
- W4290806098 hasConceptScore W4290806098C62869609 @default.
- W4290806098 hasConceptScore W4290806098C69357855 @default.
- W4290806098 hasConceptScore W4290806098C85725439 @default.
- W4290806098 hasConceptScore W4290806098C97355855 @default.
- W4290806098 hasLocation W42908060981 @default.
- W4290806098 hasLocation W42908060982 @default.
- W4290806098 hasLocation W42908060983 @default.
- W4290806098 hasOpenAccess W4290806098 @default.
- W4290806098 hasPrimaryLocation W42908060981 @default.
- W4290806098 hasRelatedWork W1823294 @default.
- W4290806098 hasRelatedWork W1982421072 @default.
- W4290806098 hasRelatedWork W2011210612 @default.
- W4290806098 hasRelatedWork W2028493548 @default.
- W4290806098 hasRelatedWork W2042963519 @default.
- W4290806098 hasRelatedWork W2489422517 @default.
- W4290806098 hasRelatedWork W2548313031 @default.
- W4290806098 hasRelatedWork W2962852715 @default.
- W4290806098 hasRelatedWork W2963250092 @default.
- W4290806098 hasRelatedWork W1632765139 @default.
- W4290806098 isParatext "false" @default.
- W4290806098 isRetracted "false" @default.
- W4290806098 workType "article" @default.