Premium
Convergence analysis of a coupled method for time‐dependent convection‐diffusion equations
Author(s) -
Riviere Beatrice,
Yang Xin
Publication year - 2014
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.21800
Subject(s) - mathematics , discontinuous galerkin method , convergence (economics) , partial differential equation , convection–diffusion equation , coupling (piping) , time stepping , numerical analysis , diffusion , finite volume method , finite element method , mathematical analysis , mathematical optimization , mechanics , physics , economics , mechanical engineering , discretization , engineering , thermodynamics , economic growth
The coupling of two locally mass conservative methods is formulated and analyzed for the time‐dependent convection‐diffusion problem. Finite volume method is used in some subdomains and interior penalty discontinuous Galerkin method is used in other subdomains. Numerical examples show the advantages of the proposed hybrid method, namely an accurate approximation obtained at a reduced computational cost. © 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 133–157, 2014