A posteriori error analysis for finite element methods with projection operators as applied to explicit time integration techniques

DOI10.1007/s10543-014-0534-9zbMath1332.65120OpenAlexW2005252091MaRDI QIDQ906950

J. B. Collins, Donald J. Estep, Simon J. Tavener

Publication date: 1 February 2016

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-014-0534-9

zbMATH Keywords

numerical examplefinite difference schemea posteriori error estimateexplicit schemes

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items

A posteriori analysis of an IMEX entropy-viscosity formulation for hyperbolic conservation laws with dissipation ⋮ A posteriori error estimation for multi-stage Runge-Kutta IMEX schemes ⋮ Error estimation and uncertainty quantification for first time to a threshold value ⋮ A posteriori error analysis of fluid-structure interactions: time dependent error ⋮ Efficient goal-oriented global error estimators for BDF methods using discrete adjoints ⋮ A posteriori error analysis for Schwarz overlapping domain decomposition methods ⋮ A Posteriori Analysis and Efficient Refinement Strategies for the Poisson--Boltzmann Equation ⋮ A Posteriori Error Estimates for Mixed Finite Element and Finite Volume Methods for Parabolic Problems Coupled through a Boundary ⋮ Error estimation for the time to a threshold value in evolutionary partial differential equations ⋮ \textit{A posteriori} error estimation for the spectral deferred correction method ⋮ A posteriori error analysis for a space‐time parallel discretization of parabolic partial differential equations ⋮ A posteriori error estimation for the Lax-Wendroff finite difference scheme ⋮ A Posteriori Error Analysis of Two-Stage Computation Methods with Application to Efficient Discretization and the Parareal Algorithm

Cites Work

• Unnamed Item
• Unnamed Item
• A posteriori analysis of a multirate numerical method for ordinary differential equations
• A posteriori error estimation in finite element analysis
• A posteriori error analysis for stabilised finite element approximations of transport problems
• Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality
• An optimal control approach to a posteriori error estimation in finite element methods
• An A Posteriori–A Priori Analysis of Multiscale Operator Splitting
• Discontinuous Galerkin Methods for Ordinary Differential Equations
• THE POINTWISE COMPUTABILITY OF THE LORENZ SYSTEM
• A Posteriori Error Bounds and Global Error Control for Approximation of Ordinary Differential Equations
• Accounting for stability: a posteriori error estimates based on residuals and variational analysis
• Explicit Time-Stepping for Stiff ODEs
• Estimating the error of numerical solutions of systems of reaction-diffusion equations
• The dynamical behavior of the discontinuous Galerkin method and related difference schemes
• Adjoint Equations and Perturbation Algorithms in Nonlinear Problems
• A unified discontinuous Galerkin framework for time integration