Matches in SemOpenAlex for { <https://semopenalex.org/work/W2158984931> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W2158984931 endingPage "399" @default.
- W2158984931 startingPage "381" @default.
- W2158984931 abstract "We consider the problem of stable determination of a harmonic function from knowledge of the solution and its normal derivative on a part of the boundary of the (bounded) solution domain. The alternating method is a procedure to generate an approximation to the harmonic function from such Cauchy data and we investigate a numerical implementation of this procedure based on Fredholm integral equations and Nyström discretization schemes, which makes it possible to perform a large number of iterations (millions) with minor computational cost (seconds) and high accuracy. Moreover, the original problem is rewritten as a fixed point equation on the boundary, and various other direct regularization techniques are discussed to solve that equation. We also discuss how knowledge of the smoothness of the data can be used to further improve the accuracy. Numerical examples are presented showing that accurate approximations of both the solution and its normal derivative can be obtained with much less computational time than in previous works." @default.
- W2158984931 created "2016-06-24" @default.
- W2158984931 creator A5009705210 @default.
- W2158984931 creator A5041599340 @default.
- W2158984931 date "2010-01-01" @default.
- W2158984931 modified "2023-10-17" @default.
- W2158984931 title "Fast reconstruction of harmonic functions from Cauchy data using integral equation techniques" @default.
- W2158984931 cites W1631507715 @default.
- W2158984931 cites W1968878172 @default.
- W2158984931 cites W1992272758 @default.
- W2158984931 cites W1994254061 @default.
- W2158984931 cites W2014208709 @default.
- W2158984931 cites W2016532283 @default.
- W2158984931 cites W2020094043 @default.
- W2158984931 cites W2027640714 @default.
- W2158984931 cites W2036789251 @default.
- W2158984931 cites W2038442679 @default.
- W2158984931 cites W2041856070 @default.
- W2158984931 cites W2044888814 @default.
- W2158984931 cites W2077725801 @default.
- W2158984931 cites W2087443445 @default.
- W2158984931 cites W2094643691 @default.
- W2158984931 cites W2108829797 @default.
- W2158984931 cites W2108988600 @default.
- W2158984931 cites W2116209321 @default.
- W2158984931 cites W2312726706 @default.
- W2158984931 doi "https://doi.org/10.1080/17415971003624322" @default.
- W2158984931 hasPublicationYear "2010" @default.
- W2158984931 type Work @default.
- W2158984931 sameAs 2158984931 @default.
- W2158984931 citedByCount "19" @default.
- W2158984931 countsByYear W21589849312012 @default.
- W2158984931 countsByYear W21589849312013 @default.
- W2158984931 countsByYear W21589849312015 @default.
- W2158984931 countsByYear W21589849312016 @default.
- W2158984931 countsByYear W21589849312018 @default.
- W2158984931 countsByYear W21589849312019 @default.
- W2158984931 countsByYear W21589849312020 @default.
- W2158984931 countsByYear W21589849312023 @default.
- W2158984931 crossrefType "journal-article" @default.
- W2158984931 hasAuthorship W2158984931A5009705210 @default.
- W2158984931 hasAuthorship W2158984931A5041599340 @default.
- W2158984931 hasBestOaLocation W21589849312 @default.
- W2158984931 hasConcept C102634674 @default.
- W2158984931 hasConcept C134306372 @default.
- W2158984931 hasConcept C153635880 @default.
- W2158984931 hasConcept C154945302 @default.
- W2158984931 hasConcept C26955809 @default.
- W2158984931 hasConcept C27016315 @default.
- W2158984931 hasConcept C2776135515 @default.
- W2158984931 hasConcept C28826006 @default.
- W2158984931 hasConcept C33923547 @default.
- W2158984931 hasConcept C34388435 @default.
- W2158984931 hasConcept C36503486 @default.
- W2158984931 hasConcept C41008148 @default.
- W2158984931 hasConcept C48265008 @default.
- W2158984931 hasConcept C49344536 @default.
- W2158984931 hasConcept C73000952 @default.
- W2158984931 hasConcept C89285879 @default.
- W2158984931 hasConceptScore W2158984931C102634674 @default.
- W2158984931 hasConceptScore W2158984931C134306372 @default.
- W2158984931 hasConceptScore W2158984931C153635880 @default.
- W2158984931 hasConceptScore W2158984931C154945302 @default.
- W2158984931 hasConceptScore W2158984931C26955809 @default.
- W2158984931 hasConceptScore W2158984931C27016315 @default.
- W2158984931 hasConceptScore W2158984931C2776135515 @default.
- W2158984931 hasConceptScore W2158984931C28826006 @default.
- W2158984931 hasConceptScore W2158984931C33923547 @default.
- W2158984931 hasConceptScore W2158984931C34388435 @default.
- W2158984931 hasConceptScore W2158984931C36503486 @default.
- W2158984931 hasConceptScore W2158984931C41008148 @default.
- W2158984931 hasConceptScore W2158984931C48265008 @default.
- W2158984931 hasConceptScore W2158984931C49344536 @default.
- W2158984931 hasConceptScore W2158984931C73000952 @default.
- W2158984931 hasConceptScore W2158984931C89285879 @default.
- W2158984931 hasIssue "3" @default.
- W2158984931 hasLocation W21589849311 @default.
- W2158984931 hasLocation W21589849312 @default.
- W2158984931 hasLocation W21589849313 @default.
- W2158984931 hasOpenAccess W2158984931 @default.
- W2158984931 hasPrimaryLocation W21589849311 @default.
- W2158984931 hasRelatedWork W145464222 @default.
- W2158984931 hasRelatedWork W1537458962 @default.
- W2158984931 hasRelatedWork W1667827684 @default.
- W2158984931 hasRelatedWork W2021356049 @default.
- W2158984931 hasRelatedWork W2063886624 @default.
- W2158984931 hasRelatedWork W2704059178 @default.
- W2158984931 hasRelatedWork W3103661882 @default.
- W2158984931 hasRelatedWork W3191646105 @default.
- W2158984931 hasRelatedWork W4385505126 @default.
- W2158984931 hasRelatedWork W4386374975 @default.
- W2158984931 hasVolume "18" @default.
- W2158984931 isParatext "false" @default.
- W2158984931 isRetracted "false" @default.
- W2158984931 magId "2158984931" @default.
- W2158984931 workType "article" @default.