On the convergence and convergence order of finite volume gradient schemes for oblique derivative boundary value problems
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
http://link.springer.com/article/10.1007/s40314-017-0463-8/fulltext.html
Reference14 articles.
1. Barrett JW, Elliott CM (1985) Fixed mesh finite element approximations to a free boundary problem for an elliptic equation with an oblique derivative boundary condition. Comput Math Appl 11(4):335–345
2. Bassemoulin-Chatard M, Chainais-Hillairet C, Filbet F (2015) On discrete functional inequalities for some finite volume schemes. IMA J Numer Anal 35(3):1125–1149
3. Bradji A (2014) Note on the convergence of a finite volume scheme using a general nonconforming mesh for an oblique derivative boundary value problem. In: Fuhrmann J et al (eds) Finite volumes for complex applications VII–methods, theoretical aspects. Proceedings of the FVCA 7, Vol. I, Springer Proceedings in Mathematics and Statistics, vol. 77. Berlin, Germany, June 15–20, 2014, pp 149–157
4. Bradji A, Fuhrmann J (2013) Some abstract error estimates of a finite volume scheme for a nonstationary heat equation on general nonconforming multidimensional spatial meshes. Appl Math 58(1):1–38
5. Bradji A, Fuhrmann J (2010) Error estimates of the discretization of linear parabolic equations on general nonconforming spatial grids. C R Math Acad Sci Paris 348(19–20):1119–1122
Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Steady-state inhomogeneous diffusion with generalized oblique boundary conditions;ESAIM: Mathematical Modelling and Numerical Analysis;2023-09
2. Design and analysis of finite volume methods for elliptic equations with oblique derivatives; application to Earth gravity field modelling;Journal of Computational Physics;2019-12
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