FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2912582558> ?p ?o ?g. }

• W2912582558 endingPage "1180" @default.
• W2912582558 startingPage "1150" @default.
• W2912582558 abstract "Smoothness-increasing accuracy-conserving (SIAC) filtering is an area of increasing interest because it can extract the “hidden accuracy” in discontinuous Galerkin (DG) solutions. It has been shown that by applying a SIAC filter to a DG solution, the accuracy order of the DG solution improves from order $$k+1$$ to order $$2k+1$$ for linear hyperbolic equations over uniform meshes. However, applying a SIAC filter over nonuniform meshes is difficult, and the quality of filtered solutions is usually unsatisfactory applied to approximations defined on nonuniform meshes. The applicability to such approximations over nonuniform meshes is the biggest obstacle to the development of a SIAC filter. The purpose of this paper is twofold: to study the connection between the error of the filtered solution and the nonuniform mesh and to develop a filter scaling that approximates the optimal error reduction. First, through analyzing the error estimates for SIAC filtering, we computationally establish for the first time a relation between the filtered solutions and the unstructuredness of nonuniform meshes. Further, we demonstrate that there exists an optimal accuracy of the filtered solution for a given nonuniform mesh and that it is possible to obtain this optimal accuracy by the method we propose, an optimal filter scaling. By applying the newly designed filter scaling over nonuniform meshes, the filtered solution has demonstrated improvement in accuracy order as well as reducing the error compared to the original DG solution. Finally, we apply the proposed methods over a large number of nonuniform meshes and compare the performance with existing methods to demonstrate the superiority of our method." @default.
• W2912582558 created "2019-02-21" @default.
• W2912582558 creator A5028294522 @default.
• W2912582558 creator A5080989974 @default.
• W2912582558 creator A5083523340 @default.
• W2912582558 creator A5088340901 @default.
• W2912582558 date "2019-02-13" @default.
• W2912582558 modified "2023-10-16" @default.
• W2912582558 title "Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Discontinuous Galerkin Solutions over Nonuniform Meshes: Superconvergence and Optimal Accuracy" @default.
• W2912582558 cites W1018898233 @default.
• W2912582558 cites W1967923643 @default.
• W2912582558 cites W1969647398 @default.
• W2912582558 cites W1986784896 @default.
• W2912582558 cites W1992032247 @default.
• W2912582558 cites W2007197813 @default.
• W2912582558 cites W2010481111 @default.
• W2912582558 cites W2019098734 @default.
• W2912582558 cites W2019723871 @default.
• W2912582558 cites W2074029828 @default.
• W2912582558 cites W2089424413 @default.
• W2912582558 cites W2156104539 @default.
• W2912582558 cites W2167377577 @default.
• W2912582558 cites W2196267779 @default.
• W2912582558 cites W2530691423 @default.
• W2912582558 cites W2743415442 @default.
• W2912582558 cites W2745393158 @default.
• W2912582558 cites W2963627374 @default.
• W2912582558 cites W4252060206 @default.
• W2912582558 cites W4252870981 @default.
• W2912582558 doi "https://doi.org/10.1007/s10915-019-00920-7" @default.
• W2912582558 hasPublicationYear "2019" @default.
• W2912582558 type Work @default.
• W2912582558 sameAs 2912582558 @default.
• W2912582558 citedByCount "9" @default.
• W2912582558 countsByYear W29125825582019 @default.
• W2912582558 countsByYear W29125825582020 @default.
• W2912582558 countsByYear W29125825582021 @default.
• W2912582558 countsByYear W29125825582022 @default.
• W2912582558 crossrefType "journal-article" @default.
• W2912582558 hasAuthorship W2912582558A5028294522 @default.
• W2912582558 hasAuthorship W2912582558A5080989974 @default.
• W2912582558 hasAuthorship W2912582558A5083523340 @default.
• W2912582558 hasAuthorship W2912582558A5088340901 @default.
• W2912582558 hasBestOaLocation W29125825581 @default.
• W2912582558 hasConcept C102634674 @default.
• W2912582558 hasConcept C106131492 @default.
• W2912582558 hasConcept C111335779 @default.
• W2912582558 hasConcept C11413529 @default.
• W2912582558 hasConcept C121332964 @default.
• W2912582558 hasConcept C126255220 @default.
• W2912582558 hasConcept C134306372 @default.
• W2912582558 hasConcept C135628077 @default.
• W2912582558 hasConcept C186899397 @default.
• W2912582558 hasConcept C2524010 @default.
• W2912582558 hasConcept C28826006 @default.
• W2912582558 hasConcept C31487907 @default.
• W2912582558 hasConcept C31972630 @default.
• W2912582558 hasConcept C33923547 @default.
• W2912582558 hasConcept C41008148 @default.
• W2912582558 hasConcept C83295009 @default.
• W2912582558 hasConcept C92244383 @default.
• W2912582558 hasConcept C97355855 @default.
• W2912582558 hasConcept C99844830 @default.
• W2912582558 hasConceptScore W2912582558C102634674 @default.
• W2912582558 hasConceptScore W2912582558C106131492 @default.
• W2912582558 hasConceptScore W2912582558C111335779 @default.
• W2912582558 hasConceptScore W2912582558C11413529 @default.
• W2912582558 hasConceptScore W2912582558C121332964 @default.
• W2912582558 hasConceptScore W2912582558C126255220 @default.
• W2912582558 hasConceptScore W2912582558C134306372 @default.
• W2912582558 hasConceptScore W2912582558C135628077 @default.
• W2912582558 hasConceptScore W2912582558C186899397 @default.
• W2912582558 hasConceptScore W2912582558C2524010 @default.
• W2912582558 hasConceptScore W2912582558C28826006 @default.
• W2912582558 hasConceptScore W2912582558C31487907 @default.
• W2912582558 hasConceptScore W2912582558C31972630 @default.
• W2912582558 hasConceptScore W2912582558C33923547 @default.
• W2912582558 hasConceptScore W2912582558C41008148 @default.
• W2912582558 hasConceptScore W2912582558C83295009 @default.
• W2912582558 hasConceptScore W2912582558C92244383 @default.
• W2912582558 hasConceptScore W2912582558C97355855 @default.
• W2912582558 hasConceptScore W2912582558C99844830 @default.
• W2912582558 hasFunder F4320321001 @default.
• W2912582558 hasFunder F4320332467 @default.
• W2912582558 hasIssue "3" @default.
• W2912582558 hasLocation W29125825581 @default.
• W2912582558 hasLocation W29125825582 @default.
• W2912582558 hasLocation W29125825583 @default.
• W2912582558 hasLocation W29125825584 @default.
• W2912582558 hasOpenAccess W2912582558 @default.
• W2912582558 hasPrimaryLocation W29125825581 @default.
• W2912582558 hasRelatedWork W1002850520 @default.
• W2912582558 hasRelatedWork W1568980822 @default.
• W2912582558 hasRelatedWork W2022721275 @default.
• W2912582558 hasRelatedWork W2027195596 @default.
• W2912582558 hasRelatedWork W2196267779 @default.
• W2912582558 hasRelatedWork W2912582558 @default.
• W2912582558 hasRelatedWork W3046231153 @default.

• next