Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300617564> ?p ?o ?g. }
Showing items 1 to 53 of
53
with 100 items per page.
- W4300617564 abstract "The present work is devoted to approximation of the statistical moments of the unknown solution of a class of elliptic transmission problems in $mathbb R^3$ with randomly perturbed interfaces. Within this model, the diffusion coefficient has a jump discontinuity across the random transmission interface which models linear diffusion in two different media separated by an uncertain surface. We apply the shape calculus approach to approximate solution's perturbation by the so-called shape derivative, correspondingly statistical moments of the solution's perturbation are approximated by the moments of the shape derivative. We characterize the shape derivative as a solution of a related homogeneous transmission problem with nonzero jump conditions which can be solved with the aid of boundary integral equations. We develop a rigorous theoretical framework for this method, particularly i) extending the method to the case of unbounded domains and ii) closing the gaps and clarifying and adapting results in the existing literature. The theoretical findings are supported by and illustrated in two particular examples." @default.
- W4300617564 created "2022-10-03" @default.
- W4300617564 creator A5010845707 @default.
- W4300617564 creator A5043714964 @default.
- W4300617564 creator A5062089780 @default.
- W4300617564 date "2014-02-26" @default.
- W4300617564 modified "2023-09-26" @default.
- W4300617564 title "A shape calculus based method for a transmission problem with random interface" @default.
- W4300617564 doi "https://doi.org/10.48550/arxiv.1402.6748" @default.
- W4300617564 hasPublicationYear "2014" @default.
- W4300617564 type Work @default.
- W4300617564 citedByCount "0" @default.
- W4300617564 crossrefType "posted-content" @default.
- W4300617564 hasAuthorship W4300617564A5010845707 @default.
- W4300617564 hasAuthorship W4300617564A5043714964 @default.
- W4300617564 hasAuthorship W4300617564A5062089780 @default.
- W4300617564 hasBestOaLocation W43006175641 @default.
- W4300617564 hasConcept C121332964 @default.
- W4300617564 hasConcept C134306372 @default.
- W4300617564 hasConcept C199343813 @default.
- W4300617564 hasConcept C2777042112 @default.
- W4300617564 hasConcept C2777686260 @default.
- W4300617564 hasConcept C2780695682 @default.
- W4300617564 hasConcept C28826006 @default.
- W4300617564 hasConcept C33923547 @default.
- W4300617564 hasConcept C62520636 @default.
- W4300617564 hasConcept C71924100 @default.
- W4300617564 hasConceptScore W4300617564C121332964 @default.
- W4300617564 hasConceptScore W4300617564C134306372 @default.
- W4300617564 hasConceptScore W4300617564C199343813 @default.
- W4300617564 hasConceptScore W4300617564C2777042112 @default.
- W4300617564 hasConceptScore W4300617564C2777686260 @default.
- W4300617564 hasConceptScore W4300617564C2780695682 @default.
- W4300617564 hasConceptScore W4300617564C28826006 @default.
- W4300617564 hasConceptScore W4300617564C33923547 @default.
- W4300617564 hasConceptScore W4300617564C62520636 @default.
- W4300617564 hasConceptScore W4300617564C71924100 @default.
- W4300617564 hasLocation W43006175641 @default.
- W4300617564 hasOpenAccess W4300617564 @default.
- W4300617564 hasPrimaryLocation W43006175641 @default.
- W4300617564 hasRelatedWork W1985927186 @default.
- W4300617564 hasRelatedWork W1989549950 @default.
- W4300617564 hasRelatedWork W2030971883 @default.
- W4300617564 hasRelatedWork W2062507148 @default.
- W4300617564 hasRelatedWork W2067905690 @default.
- W4300617564 hasRelatedWork W2146401618 @default.
- W4300617564 hasRelatedWork W2390927215 @default.
- W4300617564 hasRelatedWork W2408352021 @default.
- W4300617564 hasRelatedWork W2765299251 @default.
- W4300617564 hasRelatedWork W4309800518 @default.
- W4300617564 isParatext "false" @default.
- W4300617564 isRetracted "false" @default.
- W4300617564 workType "article" @default.