Preserving monotony of combined edge finite volume-finite element scheme for a bone healing model on general mesh
DOI10.1016/j.cam.2016.07.004zbMath1462.65121OpenAlexW629793303MaRDI QIDQ313613
Marianne Bessemoulin-Chatard, Mazen Saad
Publication date: 12 September 2016
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2016.07.004
convergence analysisanisotropyfinite volume schemebone healing modelnonconforming finite element scheme
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Cites Work
- Unnamed Item
- Unnamed Item
- Analysis of a finite volume method for a bone growth system in vivo
- Monotone corrections for generic cell-centered finite volume approximations of anisotropic diffusion equations
- A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems
- A nonlinear correction and maximum principle for diffusion operators discretized using cell-centered finite volume schemes
- Functional analysis, Sobolev spaces and partial differential equations
- Convergence of finite volume schemes for semilinear convection diffusion equations
- Discrete maximum principle for Galerkin approximations of the Laplace operator on arbitrary meshes
- Combined finite element-finite volume solution of compressible flow
- Monotone Combined Finite Volume-Finite Element Scheme for a Bone Healing Model
- Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
- Finite Element Approximation of the Transport of Reactive Solutes in Porous Media. Part 1: Error Estimates for Nonequilibrium Adsorption Processes
- On the Discrete Poincaré–Friedrichs Inequalities for Nonconforming Approximations of the Sobolev Space H 1
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- A Nonlinear Mixed Finite Element Method for a Degenerate Parabolic Equation Arising in Flow in Porous Media
- Monotone combined edge finite volume–finite element scheme for Anisotropic Keller–Segel model
This page was built for publication: Preserving monotony of combined edge finite volume-finite element scheme for a bone healing model on general mesh
