Matches in SemOpenAlex for { <https://semopenalex.org/work/W4220652890> ?p ?o ?g. }
- W4220652890 endingPage "78" @default.
- W4220652890 startingPage "58" @default.
- W4220652890 abstract "An implicit Galerkin meshfree scheme based on the element-free Galerkin (EFG) and the backward Euler methods is analyzed for general second-order parabolic problems. The penalty method is used to impose Dirichlet boundary conditions, and a priori approximation error has been derived to confirm its validity. The existence and uniqueness of the weak solution for the penalized parabolic problems under homogeneous mixed boundary conditions are proved, offering an insight for numerical discretizations. With an orthogonal projection being defined, the continuous error bounds with the penalty factor for the semi-discrete approximation are obtained, and meanwhile, the discrete error bounds with the penalty factor for the fully discrete approximation are also achieved, which provide a theoretical explanation for the value of a reasonable penalty factor. Finally, numerical examples are conducted to verify the theoretical results." @default.
- W4220652890 created "2022-04-03" @default.
- W4220652890 creator A5035701638 @default.
- W4220652890 creator A5070919967 @default.
- W4220652890 creator A5082071476 @default.
- W4220652890 date "2022-07-01" @default.
- W4220652890 modified "2023-10-17" @default.
- W4220652890 title "Error analysis of an implicit Galerkin meshfree scheme for general second-order parabolic problems" @default.
- W4220652890 cites W1048494926 @default.
- W4220652890 cites W1623557273 @default.
- W4220652890 cites W1988744163 @default.
- W4220652890 cites W2008756745 @default.
- W4220652890 cites W2025921648 @default.
- W4220652890 cites W2080798379 @default.
- W4220652890 cites W2083661889 @default.
- W4220652890 cites W2094905529 @default.
- W4220652890 cites W2106872758 @default.
- W4220652890 cites W2142136198 @default.
- W4220652890 cites W2516053599 @default.
- W4220652890 cites W2591140821 @default.
- W4220652890 cites W2606718108 @default.
- W4220652890 cites W2746509344 @default.
- W4220652890 cites W2773605021 @default.
- W4220652890 cites W2792969304 @default.
- W4220652890 cites W2912564288 @default.
- W4220652890 cites W2938312332 @default.
- W4220652890 cites W2963806350 @default.
- W4220652890 cites W2973040076 @default.
- W4220652890 cites W3018756426 @default.
- W4220652890 cites W3096443100 @default.
- W4220652890 cites W3103325468 @default.
- W4220652890 cites W3158886771 @default.
- W4220652890 cites W3189629749 @default.
- W4220652890 cites W910594616 @default.
- W4220652890 doi "https://doi.org/10.1016/j.apnum.2022.03.005" @default.
- W4220652890 hasPublicationYear "2022" @default.
- W4220652890 type Work @default.
- W4220652890 citedByCount "14" @default.
- W4220652890 countsByYear W42206528902022 @default.
- W4220652890 countsByYear W42206528902023 @default.
- W4220652890 crossrefType "journal-article" @default.
- W4220652890 hasAuthorship W4220652890A5035701638 @default.
- W4220652890 hasAuthorship W4220652890A5070919967 @default.
- W4220652890 hasAuthorship W4220652890A5082071476 @default.
- W4220652890 hasConcept C110167270 @default.
- W4220652890 hasConcept C111472728 @default.
- W4220652890 hasConcept C11413529 @default.
- W4220652890 hasConcept C121332964 @default.
- W4220652890 hasConcept C126255220 @default.
- W4220652890 hasConcept C134306372 @default.
- W4220652890 hasConcept C135628077 @default.
- W4220652890 hasConcept C138885662 @default.
- W4220652890 hasConcept C182310444 @default.
- W4220652890 hasConcept C186899397 @default.
- W4220652890 hasConcept C202426404 @default.
- W4220652890 hasConcept C2777021972 @default.
- W4220652890 hasConcept C28826006 @default.
- W4220652890 hasConcept C33923547 @default.
- W4220652890 hasConcept C38409319 @default.
- W4220652890 hasConcept C57493831 @default.
- W4220652890 hasConcept C6180225 @default.
- W4220652890 hasConcept C65557600 @default.
- W4220652890 hasConcept C75553542 @default.
- W4220652890 hasConcept C768646 @default.
- W4220652890 hasConcept C83295009 @default.
- W4220652890 hasConcept C92244383 @default.
- W4220652890 hasConcept C97355855 @default.
- W4220652890 hasConceptScore W4220652890C110167270 @default.
- W4220652890 hasConceptScore W4220652890C111472728 @default.
- W4220652890 hasConceptScore W4220652890C11413529 @default.
- W4220652890 hasConceptScore W4220652890C121332964 @default.
- W4220652890 hasConceptScore W4220652890C126255220 @default.
- W4220652890 hasConceptScore W4220652890C134306372 @default.
- W4220652890 hasConceptScore W4220652890C135628077 @default.
- W4220652890 hasConceptScore W4220652890C138885662 @default.
- W4220652890 hasConceptScore W4220652890C182310444 @default.
- W4220652890 hasConceptScore W4220652890C186899397 @default.
- W4220652890 hasConceptScore W4220652890C202426404 @default.
- W4220652890 hasConceptScore W4220652890C2777021972 @default.
- W4220652890 hasConceptScore W4220652890C28826006 @default.
- W4220652890 hasConceptScore W4220652890C33923547 @default.
- W4220652890 hasConceptScore W4220652890C38409319 @default.
- W4220652890 hasConceptScore W4220652890C57493831 @default.
- W4220652890 hasConceptScore W4220652890C6180225 @default.
- W4220652890 hasConceptScore W4220652890C65557600 @default.
- W4220652890 hasConceptScore W4220652890C75553542 @default.
- W4220652890 hasConceptScore W4220652890C768646 @default.
- W4220652890 hasConceptScore W4220652890C83295009 @default.
- W4220652890 hasConceptScore W4220652890C92244383 @default.
- W4220652890 hasConceptScore W4220652890C97355855 @default.
- W4220652890 hasFunder F4320311970 @default.
- W4220652890 hasFunder F4320321001 @default.
- W4220652890 hasFunder F4320321106 @default.
- W4220652890 hasFunder F4320323172 @default.
- W4220652890 hasFunder F4320327726 @default.
- W4220652890 hasLocation W42206528901 @default.
- W4220652890 hasOpenAccess W4220652890 @default.
- W4220652890 hasPrimaryLocation W42206528901 @default.