FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3134799368> ?p ?o ?g. }

• W3134799368 abstract "We study the global convergence of the gradient descent method of the minimization of strictly convex functionals on an open and bounded set of a Hilbert space. Such results are unknown for this type of sets, unlike the case of the entire Hilbert space. Then, we use our result to establish a general framework to numerically solve boundary value problems for quasi-linear partial differential equations with noisy Cauchy data. The procedure involves the use of Carleman weight functions to convexify a cost functional arising from the given boundary value problem and thus to ensure the convergence of the gradient descent method above. We prove the global convergence of the method as the noise tends to 0. The convergence rate is Lipschitz. Next, we apply this method to solve a highly nonlinear and severely ill-posed coefficient inverse problem, which is the so-called back scattering inverse problem. This problem has many real-world applications. Numerical examples are presented." @default.
• W3134799368 created "2021-03-15" @default.
• W3134799368 creator A5000863257 @default.
• W3134799368 creator A5079794854 @default.
• W3134799368 date "2022-04-29" @default.
• W3134799368 modified "2023-10-05" @default.
• W3134799368 title "The Gradient Descent Method for the Convexification to Solve Boundary Value Problems of Quasi-Linear PDEs and a Coefficient Inverse Problem" @default.
• W3134799368 cites W1523113578 @default.
• W3134799368 cites W1648218639 @default.
• W3134799368 cites W1988566384 @default.
• W3134799368 cites W1989902858 @default.
• W3134799368 cites W2048561965 @default.
• W3134799368 cites W2058917636 @default.
• W3134799368 cites W2069129680 @default.
• W3134799368 cites W2092958877 @default.
• W3134799368 cites W2101425140 @default.
• W3134799368 cites W2132468176 @default.
• W3134799368 cites W2215708517 @default.
• W3134799368 cites W244175342 @default.
• W3134799368 cites W2805140191 @default.
• W3134799368 cites W2963112046 @default.
• W3134799368 cites W2964260020 @default.
• W3134799368 cites W2972861023 @default.
• W3134799368 cites W2978191791 @default.
• W3134799368 cites W3025463144 @default.
• W3134799368 cites W3026195366 @default.
• W3134799368 cites W3031325089 @default.
• W3134799368 cites W3047929642 @default.
• W3134799368 cites W3087916579 @default.
• W3134799368 cites W3104143121 @default.
• W3134799368 cites W3106075130 @default.
• W3134799368 cites W3136777207 @default.
• W3134799368 cites W315631680 @default.
• W3134799368 cites W3175087768 @default.
• W3134799368 cites W4252253229 @default.
• W3134799368 cites W599410267 @default.
• W3134799368 cites W1188674301 @default.
• W3134799368 doi "https://doi.org/10.1007/s10915-022-01846-3" @default.
• W3134799368 hasPublicationYear "2022" @default.
• W3134799368 type Work @default.
• W3134799368 sameAs 3134799368 @default.
• W3134799368 citedByCount "7" @default.
• W3134799368 countsByYear W31347993682021 @default.
• W3134799368 countsByYear W31347993682022 @default.
• W3134799368 countsByYear W31347993682023 @default.
• W3134799368 crossrefType "journal-article" @default.
• W3134799368 hasAuthorship W3134799368A5000863257 @default.
• W3134799368 hasAuthorship W3134799368A5079794854 @default.
• W3134799368 hasBestOaLocation W31347993682 @default.
• W3134799368 hasConcept C119857082 @default.
• W3134799368 hasConcept C127162648 @default.
• W3134799368 hasConcept C134306372 @default.
• W3134799368 hasConcept C135252773 @default.
• W3134799368 hasConcept C153258448 @default.
• W3134799368 hasConcept C162324750 @default.
• W3134799368 hasConcept C182310444 @default.
• W3134799368 hasConcept C207467116 @default.
• W3134799368 hasConcept C22324862 @default.
• W3134799368 hasConcept C2524010 @default.
• W3134799368 hasConcept C2777303404 @default.
• W3134799368 hasConcept C28826006 @default.
• W3134799368 hasConcept C31258907 @default.
• W3134799368 hasConcept C33923547 @default.
• W3134799368 hasConcept C34388435 @default.
• W3134799368 hasConcept C41008148 @default.
• W3134799368 hasConcept C50522688 @default.
• W3134799368 hasConcept C50644808 @default.
• W3134799368 hasConcept C57869625 @default.
• W3134799368 hasConcept C62354387 @default.
• W3134799368 hasConcept C62799726 @default.
• W3134799368 hasConceptScore W3134799368C119857082 @default.
• W3134799368 hasConceptScore W3134799368C127162648 @default.
• W3134799368 hasConceptScore W3134799368C134306372 @default.
• W3134799368 hasConceptScore W3134799368C135252773 @default.
• W3134799368 hasConceptScore W3134799368C153258448 @default.
• W3134799368 hasConceptScore W3134799368C162324750 @default.
• W3134799368 hasConceptScore W3134799368C182310444 @default.
• W3134799368 hasConceptScore W3134799368C207467116 @default.
• W3134799368 hasConceptScore W3134799368C22324862 @default.
• W3134799368 hasConceptScore W3134799368C2524010 @default.
• W3134799368 hasConceptScore W3134799368C2777303404 @default.
• W3134799368 hasConceptScore W3134799368C28826006 @default.
• W3134799368 hasConceptScore W3134799368C31258907 @default.
• W3134799368 hasConceptScore W3134799368C33923547 @default.
• W3134799368 hasConceptScore W3134799368C34388435 @default.
• W3134799368 hasConceptScore W3134799368C41008148 @default.
• W3134799368 hasConceptScore W3134799368C50522688 @default.
• W3134799368 hasConceptScore W3134799368C50644808 @default.
• W3134799368 hasConceptScore W3134799368C57869625 @default.
• W3134799368 hasConceptScore W3134799368C62354387 @default.
• W3134799368 hasConceptScore W3134799368C62799726 @default.
• W3134799368 hasFunder F4320333028 @default.
• W3134799368 hasFunder F4320338295 @default.
• W3134799368 hasIssue "3" @default.
• W3134799368 hasLocation W31347993681 @default.
• W3134799368 hasLocation W31347993682 @default.
• W3134799368 hasOpenAccess W3134799368 @default.
• W3134799368 hasPrimaryLocation W31347993681 @default.
• W3134799368 hasRelatedWork W2027251766 @default.
• W3134799368 hasRelatedWork W2053374910 @default.

• next