Matches in SemOpenAlex for { <https://semopenalex.org/work/W3160103843> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W3160103843 abstract "In this paper, a modified weak Galerkin finite element method on Shishkin mesh has been developed and analyzed for the singularly perturbed convection-diffusion-reaction problems. The proposed method is based on the idea of replacing the standard gradient (derivative) and convection derivative by modified weak gradient (derivative) and modified weak convection derivative, respectively, over piecewise polynomials of degree $kgeq1$. The present method is parameter-free and has less degree of freedom compared to the weak Galerkin finite element method. Stability and convergence rate of $mathcal {O}((N^{-1}ln N)^k)$ in the energy norm are proved. The method is uniformly convergent, i.e., the results hold uniformly regardless of the value of the perturbation parameter. Numerical experiments confirm these theoretical findings on Shishkin meshes. The numerical examples are also carried out on B-S meshes to confirm the theoretical results. Moreover, the proposed method has the optimal order error estimates of $mathcal {O}(N^{-(k+1)})$ in a discrete $L^2-$ norm and converges at superconvergence order of $mathcal {O}((N^{-1}ln N)^{2k})$ in the discrete $L_infty-$ norm." @default.
- W3160103843 created "2021-05-24" @default.
- W3160103843 creator A5014439877 @default.
- W3160103843 creator A5020567070 @default.
- W3160103843 date "2021-05-16" @default.
- W3160103843 modified "2023-09-26" @default.
- W3160103843 title "Uniform convergent modified weak Galerkin method for convection-dominated two-point boundary value problems" @default.
- W3160103843 doi "https://doi.org/10.22541/au.162119663.38040699/v1" @default.
- W3160103843 hasPublicationYear "2021" @default.
- W3160103843 type Work @default.
- W3160103843 sameAs 3160103843 @default.
- W3160103843 citedByCount "0" @default.
- W3160103843 crossrefType "posted-content" @default.
- W3160103843 hasAuthorship W3160103843A5014439877 @default.
- W3160103843 hasAuthorship W3160103843A5020567070 @default.
- W3160103843 hasBestOaLocation W31601038431 @default.
- W3160103843 hasConcept C111915175 @default.
- W3160103843 hasConcept C119599485 @default.
- W3160103843 hasConcept C121332964 @default.
- W3160103843 hasConcept C127162648 @default.
- W3160103843 hasConcept C127413603 @default.
- W3160103843 hasConcept C134306372 @default.
- W3160103843 hasConcept C135628077 @default.
- W3160103843 hasConcept C157709441 @default.
- W3160103843 hasConcept C164660894 @default.
- W3160103843 hasConcept C17744445 @default.
- W3160103843 hasConcept C182310444 @default.
- W3160103843 hasConcept C186899397 @default.
- W3160103843 hasConcept C191795146 @default.
- W3160103843 hasConcept C199539241 @default.
- W3160103843 hasConcept C2776257435 @default.
- W3160103843 hasConcept C31258907 @default.
- W3160103843 hasConcept C33923547 @default.
- W3160103843 hasConcept C41008148 @default.
- W3160103843 hasConcept C57869625 @default.
- W3160103843 hasConcept C83295009 @default.
- W3160103843 hasConcept C97355855 @default.
- W3160103843 hasConceptScore W3160103843C111915175 @default.
- W3160103843 hasConceptScore W3160103843C119599485 @default.
- W3160103843 hasConceptScore W3160103843C121332964 @default.
- W3160103843 hasConceptScore W3160103843C127162648 @default.
- W3160103843 hasConceptScore W3160103843C127413603 @default.
- W3160103843 hasConceptScore W3160103843C134306372 @default.
- W3160103843 hasConceptScore W3160103843C135628077 @default.
- W3160103843 hasConceptScore W3160103843C157709441 @default.
- W3160103843 hasConceptScore W3160103843C164660894 @default.
- W3160103843 hasConceptScore W3160103843C17744445 @default.
- W3160103843 hasConceptScore W3160103843C182310444 @default.
- W3160103843 hasConceptScore W3160103843C186899397 @default.
- W3160103843 hasConceptScore W3160103843C191795146 @default.
- W3160103843 hasConceptScore W3160103843C199539241 @default.
- W3160103843 hasConceptScore W3160103843C2776257435 @default.
- W3160103843 hasConceptScore W3160103843C31258907 @default.
- W3160103843 hasConceptScore W3160103843C33923547 @default.
- W3160103843 hasConceptScore W3160103843C41008148 @default.
- W3160103843 hasConceptScore W3160103843C57869625 @default.
- W3160103843 hasConceptScore W3160103843C83295009 @default.
- W3160103843 hasConceptScore W3160103843C97355855 @default.
- W3160103843 hasLocation W31601038431 @default.
- W3160103843 hasOpenAccess W3160103843 @default.
- W3160103843 hasPrimaryLocation W31601038431 @default.
- W3160103843 hasRelatedWork W1969537936 @default.
- W3160103843 hasRelatedWork W1988489151 @default.
- W3160103843 hasRelatedWork W2037117291 @default.
- W3160103843 hasRelatedWork W2076942752 @default.
- W3160103843 hasRelatedWork W3160103843 @default.
- W3160103843 hasRelatedWork W3191268473 @default.
- W3160103843 hasRelatedWork W3217237726 @default.
- W3160103843 hasRelatedWork W4235541718 @default.
- W3160103843 hasRelatedWork W4245440138 @default.
- W3160103843 hasRelatedWork W4287028961 @default.
- W3160103843 isParatext "false" @default.
- W3160103843 isRetracted "false" @default.
- W3160103843 magId "3160103843" @default.
- W3160103843 workType "article" @default.