Analysis of the hybrid finite element/finite volume methods for linear hyperbolic and convection-dominated convection-diffusion problems
DOI10.1016/S0377-0427(01)00416-2zbMath1003.65112OpenAlexW1970661815MaRDI QIDQ1349156
Publication date: 21 May 2002
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0377-0427(01)00416-2
stabilityconvergencefinite element methodconvection-diffusion problemsfinite volume methodslinear hyperbolic equationsGalerkin type method
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order parabolic equations (35K15) Initial value problems for second-order hyperbolic equations (35L15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite element methods for linear hyperbolic problems
- A class of implicit upwind schemes for Euler simulations with unstructured meshes
- A discontinuous \(hp\) finite element method for convection-diffusion problems
- Two-dimensional viscous flow computations on the Connection Machine: Unstructured meshes, upwind schemes and massively parallel computations
- Domain decomposition for compressible Navier-Stokes equations with different discretizations and formulations
- On the finite element method
- General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
- Finite Element Collocation Methods for First Order Systems
- On a conservation upwind finite element scheme for convective diffusion equations
- An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
- An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
- hp‐version discontinuous Galerkin methods for hyperbolic conservation laws: A parallel adaptive strategy
- Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation
- Triangular Elements in the Finite Element Method