Convergence analysis of an upwind finite volume element method with crouzeix-raviart element for non-selfadjoint and indefinite problems

DOI10.1007/s11464-008-0034-9zbMath1167.65060OpenAlexW2202480512MaRDI QIDQ1001314

Chunjia Bi, Hong-Xing Rui

Publication date: 17 February 2009

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-008-0034-9

zbMATH Keywords

convergenceconvection-diffusion problemerror estimateupwind methodCrouzeix-Raviart elementself-adjoint elliptic problemsFinite volume element method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (5)

Additive average Schwarz method for a Crouzeix-Raviart finite volume element discretization of elliptic problems with heterogeneous coefficients ⋮ Adaptive parallel average Schwarz preconditioner for Crouzeix-Raviart finite volume method ⋮ A discontinuous finite volume method for a coupled fracture model ⋮ A finite volume method for a coupled fracture model with matching and nonmatching grids ⋮ Additive Average Schwarz Method for a Crouzeix-Raviart Finite Volume Element Discretization of Elliptic Problems

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