FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2805851569> ?p ?o ?g. }

• W2805851569 endingPage "639" @default.
• W2805851569 startingPage "616" @default.
• W2805851569 abstract "We present a novel hyperviscosity formulation for stabilizing RBF-FD discretizations of the advection-diffusion equation. The amount of hyperviscosity is determined quasi-analytically for commonly-used explicit, implicit, and implicit-explicit (IMEX) time integrators by using a simple 1D semi-discrete Von Neumann analysis. The analysis is applied to an analytical model of spurious growth in RBF-FD solutions that uses auxiliary differential operators mimicking the undesirable properties of RBF-FD differentiation matrices. The resulting hyperviscosity formulation is a generalization of existing ones in the literature, but is free of any tuning parameters and can be computed efficiently. To further improve robustness, we introduce a simple new scaling law for polynomial-augmented RBF-FD that relates the degree of polyharmonic spline (PHS) RBFs to the degree of the appended polynomial. When used in a novel ghost node formulation in conjunction with the recently-developed overlapped RBF-FD method, the resulting method is robust and free of stagnation errors. We validate the high-order convergence rates of our method on 2D and 3D test cases over a wide range of Peclet numbers (1-1000). We then use our method to solve a 3D coupled problem motivated by models of platelet aggregation and coagulation, again demonstrating high-order convergence rates." @default.
• W2805851569 created "2018-06-13" @default.
• W2805851569 creator A5044179575 @default.
• W2805851569 creator A5055844388 @default.
• W2805851569 date "2018-11-01" @default.
• W2805851569 modified "2023-10-14" @default.
• W2805851569 title "Hyperviscosity-based stabilization for radial basis function-finite difference (RBF-FD) discretizations of advection–diffusion equations" @default.
• W2805851569 cites W1964600522 @default.
• W2805851569 cites W1967633238 @default.
• W2805851569 cites W1974322848 @default.
• W2805851569 cites W1981694936 @default.
• W2805851569 cites W1991566405 @default.
• W2805851569 cites W1993323295 @default.
• W2805851569 cites W1998762602 @default.
• W2805851569 cites W2004797340 @default.
• W2805851569 cites W2005720059 @default.
• W2805851569 cites W2036682033 @default.
• W2805851569 cites W2049161806 @default.
• W2805851569 cites W2055358678 @default.
• W2805851569 cites W2059176502 @default.
• W2805851569 cites W2066270372 @default.
• W2805851569 cites W2083572100 @default.
• W2805851569 cites W2083691506 @default.
• W2805851569 cites W2090536661 @default.
• W2805851569 cites W2094108357 @default.
• W2805851569 cites W2126928268 @default.
• W2805851569 cites W2134996260 @default.
• W2805851569 cites W2140153041 @default.
• W2805851569 cites W2166050051 @default.
• W2805851569 cites W2169437869 @default.
• W2805851569 cites W2171553643 @default.
• W2805851569 cites W2324019603 @default.
• W2805851569 cites W2403418182 @default.
• W2805851569 cites W2534261149 @default.
• W2805851569 cites W2535009480 @default.
• W2805851569 cites W2560552443 @default.
• W2805851569 cites W2568756429 @default.
• W2805851569 cites W2756899824 @default.
• W2805851569 cites W2796392919 @default.
• W2805851569 cites W2868924824 @default.
• W2805851569 cites W2964162159 @default.
• W2805851569 cites W4234949994 @default.
• W2805851569 cites W81600562 @default.
• W2805851569 cites W2045574335 @default.
• W2805851569 doi "https://doi.org/10.1016/j.jcp.2018.06.036" @default.
• W2805851569 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/6474420" @default.
• W2805851569 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/31011233" @default.
• W2805851569 hasPublicationYear "2018" @default.
• W2805851569 type Work @default.
• W2805851569 sameAs 2805851569 @default.
• W2805851569 citedByCount "48" @default.
• W2805851569 countsByYear W28058515692018 @default.
• W2805851569 countsByYear W28058515692019 @default.
• W2805851569 countsByYear W28058515692020 @default.
• W2805851569 countsByYear W28058515692021 @default.
• W2805851569 countsByYear W28058515692022 @default.
• W2805851569 countsByYear W28058515692023 @default.
• W2805851569 crossrefType "journal-article" @default.
• W2805851569 hasAuthorship W2805851569A5044179575 @default.
• W2805851569 hasAuthorship W2805851569A5055844388 @default.
• W2805851569 hasBestOaLocation W28058515691 @default.
• W2805851569 hasConcept C119857082 @default.
• W2805851569 hasConcept C134306372 @default.
• W2805851569 hasConcept C28826006 @default.
• W2805851569 hasConcept C33923547 @default.
• W2805851569 hasConcept C41008148 @default.
• W2805851569 hasConcept C50644808 @default.
• W2805851569 hasConcept C90119067 @default.
• W2805851569 hasConcept C98856871 @default.
• W2805851569 hasConceptScore W2805851569C119857082 @default.
• W2805851569 hasConceptScore W2805851569C134306372 @default.
• W2805851569 hasConceptScore W2805851569C28826006 @default.
• W2805851569 hasConceptScore W2805851569C33923547 @default.
• W2805851569 hasConceptScore W2805851569C41008148 @default.
• W2805851569 hasConceptScore W2805851569C50644808 @default.
• W2805851569 hasConceptScore W2805851569C90119067 @default.
• W2805851569 hasConceptScore W2805851569C98856871 @default.
• W2805851569 hasFunder F4320306076 @default.
• W2805851569 hasFunder F4320332161 @default.
• W2805851569 hasLocation W28058515691 @default.
• W2805851569 hasLocation W28058515692 @default.
• W2805851569 hasLocation W28058515693 @default.
• W2805851569 hasLocation W28058515694 @default.
• W2805851569 hasLocation W28058515695 @default.
• W2805851569 hasOpenAccess W2805851569 @default.
• W2805851569 hasPrimaryLocation W28058515691 @default.
• W2805851569 hasRelatedWork W2001919142 @default.
• W2805851569 hasRelatedWork W2024384024 @default.
• W2805851569 hasRelatedWork W2046383562 @default.
• W2805851569 hasRelatedWork W2050770628 @default.
• W2805851569 hasRelatedWork W2076063560 @default.
• W2805851569 hasRelatedWork W2107979732 @default.
• W2805851569 hasRelatedWork W2910133962 @default.
• W2805851569 hasRelatedWork W2985756986 @default.
• W2805851569 hasRelatedWork W3095716742 @default.
• W2805851569 hasRelatedWork W4207041241 @default.
• W2805851569 hasVolume "372" @default.
• W2805851569 isParatext "false" @default.

• next