Matches in SemOpenAlex for { <https://semopenalex.org/work/W4379089683> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W4379089683 abstract "We present a novel stabilized isogeometric formulation for the Stokes problem, where the geometry of interest is obtained via overlapping NURBS (non-uniform rational B-spline) patches, i.e., one patch on top of another in an arbitrary but predefined hierarchical order. All the visible regions constitute the computational domain, whereas independent patches are coupled through visible interfaces using Nitsche's formulation. Such a geometric representation inevitably involves trimming, which may yield trimmed elements of extremely small measures (referred to as bad elements) and thus lead to the instability issue. Motivated by the minimal stabilization method that rigorously guarantees stability for trimmed geometries [1], in this work we generalize it to the Stokes problem on overlapping patches. Central to our method is the distinct treatments for the pressure and velocity spaces: Stabilization for velocity is carried out for the flux terms on interfaces, whereas pressure is stabilized in all the bad elements. We provide a priori error estimates with a comprehensive theoretical study. Through a suite of numerical tests, we first show that optimal convergence rates are achieved, which consistently agrees with our theoretical findings. Second, we show that the accuracy of pressure is significantly improved by several orders using the proposed stabilization method, compared to the results without stabilization. Finally, we also demonstrate the flexibility and efficiency of the proposed method in capturing local features in the solution field." @default.
- W4379089683 created "2023-06-02" @default.
- W4379089683 creator A5044869772 @default.
- W4379089683 creator A5056740895 @default.
- W4379089683 creator A5085751696 @default.
- W4379089683 creator A5087200001 @default.
- W4379089683 date "2023-05-31" @default.
- W4379089683 modified "2023-10-18" @default.
- W4379089683 title "Stabilized isogeometric formulation of the Stokes problem on overlapping patches" @default.
- W4379089683 doi "https://doi.org/10.48550/arxiv.2305.20021" @default.
- W4379089683 hasPublicationYear "2023" @default.
- W4379089683 type Work @default.
- W4379089683 citedByCount "0" @default.
- W4379089683 crossrefType "posted-content" @default.
- W4379089683 hasAuthorship W4379089683A5044869772 @default.
- W4379089683 hasAuthorship W4379089683A5056740895 @default.
- W4379089683 hasAuthorship W4379089683A5085751696 @default.
- W4379089683 hasAuthorship W4379089683A5087200001 @default.
- W4379089683 hasBestOaLocation W43790896831 @default.
- W4379089683 hasConcept C111472728 @default.
- W4379089683 hasConcept C111919701 @default.
- W4379089683 hasConcept C112972136 @default.
- W4379089683 hasConcept C11413529 @default.
- W4379089683 hasConcept C119857082 @default.
- W4379089683 hasConcept C121332964 @default.
- W4379089683 hasConcept C126255220 @default.
- W4379089683 hasConcept C134306372 @default.
- W4379089683 hasConcept C135628077 @default.
- W4379089683 hasConcept C138885662 @default.
- W4379089683 hasConcept C162324750 @default.
- W4379089683 hasConcept C17744445 @default.
- W4379089683 hasConcept C199539241 @default.
- W4379089683 hasConcept C207821765 @default.
- W4379089683 hasConcept C2776359362 @default.
- W4379089683 hasConcept C2777303404 @default.
- W4379089683 hasConcept C2780737243 @default.
- W4379089683 hasConcept C28826006 @default.
- W4379089683 hasConcept C33923547 @default.
- W4379089683 hasConcept C36503486 @default.
- W4379089683 hasConcept C41008148 @default.
- W4379089683 hasConcept C50522688 @default.
- W4379089683 hasConcept C56951928 @default.
- W4379089683 hasConcept C57879066 @default.
- W4379089683 hasConcept C75553542 @default.
- W4379089683 hasConcept C94625758 @default.
- W4379089683 hasConcept C97355855 @default.
- W4379089683 hasConceptScore W4379089683C111472728 @default.
- W4379089683 hasConceptScore W4379089683C111919701 @default.
- W4379089683 hasConceptScore W4379089683C112972136 @default.
- W4379089683 hasConceptScore W4379089683C11413529 @default.
- W4379089683 hasConceptScore W4379089683C119857082 @default.
- W4379089683 hasConceptScore W4379089683C121332964 @default.
- W4379089683 hasConceptScore W4379089683C126255220 @default.
- W4379089683 hasConceptScore W4379089683C134306372 @default.
- W4379089683 hasConceptScore W4379089683C135628077 @default.
- W4379089683 hasConceptScore W4379089683C138885662 @default.
- W4379089683 hasConceptScore W4379089683C162324750 @default.
- W4379089683 hasConceptScore W4379089683C17744445 @default.
- W4379089683 hasConceptScore W4379089683C199539241 @default.
- W4379089683 hasConceptScore W4379089683C207821765 @default.
- W4379089683 hasConceptScore W4379089683C2776359362 @default.
- W4379089683 hasConceptScore W4379089683C2777303404 @default.
- W4379089683 hasConceptScore W4379089683C2780737243 @default.
- W4379089683 hasConceptScore W4379089683C28826006 @default.
- W4379089683 hasConceptScore W4379089683C33923547 @default.
- W4379089683 hasConceptScore W4379089683C36503486 @default.
- W4379089683 hasConceptScore W4379089683C41008148 @default.
- W4379089683 hasConceptScore W4379089683C50522688 @default.
- W4379089683 hasConceptScore W4379089683C56951928 @default.
- W4379089683 hasConceptScore W4379089683C57879066 @default.
- W4379089683 hasConceptScore W4379089683C75553542 @default.
- W4379089683 hasConceptScore W4379089683C94625758 @default.
- W4379089683 hasConceptScore W4379089683C97355855 @default.
- W4379089683 hasLocation W43790896831 @default.
- W4379089683 hasOpenAccess W4379089683 @default.
- W4379089683 hasPrimaryLocation W43790896831 @default.
- W4379089683 hasRelatedWork W137108797 @default.
- W4379089683 hasRelatedWork W1987597427 @default.
- W4379089683 hasRelatedWork W2047561932 @default.
- W4379089683 hasRelatedWork W2050829265 @default.
- W4379089683 hasRelatedWork W2394496373 @default.
- W4379089683 hasRelatedWork W2950783902 @default.
- W4379089683 hasRelatedWork W2951949309 @default.
- W4379089683 hasRelatedWork W4300232707 @default.
- W4379089683 hasRelatedWork W4300795353 @default.
- W4379089683 hasRelatedWork W582123556 @default.
- W4379089683 isParatext "false" @default.
- W4379089683 isRetracted "false" @default.
- W4379089683 workType "article" @default.