High-order accurate time-stepping schemes for convection-diffusion problems

DOI10.1016/S0045-7825(99)00193-0zbMath0984.76044OpenAlexW2055856580MaRDI QIDQ1573133

Bernardino Roig, Jean Donea, Antonio Huerta

Publication date: 7 May 2002

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(99)00193-0

zbMATH Keywords

exponential functionPadé approximantsfinite element methods of least-squares typehigh-order accurate time-stepping schemesmulti-stage Padé schemestransient convection-diffusion

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Diffusion and convection (76R99)

Related Items

Time-stepping Padé--Petrov--Galerkin models for hydraulic jump simulation, Two-level schemes for the advection equation, High-order compact solution of the one-dimensional heat and advection-diffusion equations, Compact schemes in time with applications to partial differential equations, An accuracy comparison of piecewise linear reconstruction techniques for the characteristic finite volume method for two‐dimensional convection‐diffusion equation, A numerical study of singularly perturbed generalized Burgers-Huxley equation using three-step Taylor-Galerkin method, Comparative study of different nonconserving time integrators for wave propagation in hyperelastic waveguides, The use of quadratures for solving convective and highly stiff transport problems, Time accurate consistently stabilized mesh-free methods for convection dominated problems, Radial point collocation method (RPCM) for solving convection-diffusion problems, Variational multiscale element free Galerkin method coupled with low-pass filter for Burgers' equation with small diffusion, Space-time multiscale model for wave propagation in heterogeneous media, A fractional-step Padé-Galerkin model for dam-break flow simulation., Time-accurate solution of stabilized convection-diffusion-reaction equations: I-time and space discretization, Time-accurate solution of stabilized convection-diffusion-reaction equations: II-accuracy analysis and examples

Uses Software

• RODAS

Cites Work

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• A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
• Time-accurate solution of advection-diffusion problems by finite elements
• An analysis of time discretization in the finite element solution of hyperbolic problems
• Analysis of evolutionary error in finite element and other methods
• An introduction to finite element methods for transient advection problems
• Higher order methods for transient diffusion analysis
• A Taylor-Galerkin method for convective transport problems
• Taylor-least-squares finite element for two-dimensional advection-dominated unsteady advection-diffusion problems
• Least-squares finite elements for first-order hyperbolic systems
• On a Fourth Order Accurate Implicit Finite Difference Scheme for Hyperbolic Conservation Laws: I. Nonstiff Strongly Dynamic Problems
• Convergence Estimates for Galerkin Methods for Variable Coefficient Initial Value Problems
• Three‐step explicit finite element computation of shallow water flows on a massively parallel computer