An optimal-order error estimate for MMOC and MMOCAA schemes for multidimensional advection-reaction equations

DOI10.1002/num.1042zbMath0999.76105OpenAlexW1991950500MaRDI QIDQ2778277

Hong Wang

Publication date: 2 December 2002

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.1042

zbMATH Keywords

modified method of characteristicsEulerian-Lagrangian methodsoptimal-order error estimatemodified method of characteristics with adjusted advectionmultidimensional advection-reaction transport equations

Mathematics Subject Classification ID

Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Diffusion and convection (76R99)

Related Items

Two-grid methods for characteristic finite volume element solution of semilinear convection-diffusion equations, The MMOC and MMOCAA schemes for the finite volume element method of convection-diffusion problems, Characteristic mixed finite element approximation of transient convection diffusion optimal control problems

Cites Work

• On the numerical simulation of waterflooding of heterogeneous petroleum reservoirs
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• On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
• Some Improved Error Estimates for the Modified Method of Characteristics
• Time Stepping Along Characteristics with Incomplete Iteration for a Galerkin Approximation of Miscible Displacement in Porous Media
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• Galerkin Methods for First Order Hyperbolics: An Example