Premium
Implicit‐explicit multistep finite element methods for nonlinear convection‐diffusion problems
Author(s) -
Wei Chen
Publication year - 2001
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 - 10.1002/1098-2426(200103)17:2<93::aid-num1>3.0.co;2-b
Subject(s) - discretization , mathematics , linear multistep method , finite element method , nonlinear system , partial differential equation , mixed finite element method , numerical solution of the convection–diffusion equation , convection–diffusion equation , mathematical analysis , differential equation , ordinary differential equation , differential algebraic equation , physics , quantum mechanics , thermodynamics
Implicit‐explicit multistep finite element methods for nonlinear convection‐diffusion equations are presented and analyzed. In space we discretize by finite element methods. The discretization in time is based on linear multistep schemes. The linear part of the equation is discretized implicitly and the nonlinear part of the equation explicitly. The schemes are stable and very efficient. We derive optimal order error estimates. © 2001 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 17:93–104, 2001