A posteriori error estimation with the \(p\)-version of the finite element method for nonlinear parabolic differential equations.
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Publication:1867621
DOI10.1016/S0045-7825(02)00419-XzbMath1068.76056MaRDI QIDQ1867621
Publication date: 2 April 2003
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Diffusion and convection (76R99)
Related Items (8)
Efficient simulation of cardiac electrical propagation using high-order finite elements. II: Adaptive \(p\)-version ⋮ Guaranteed a-posteriori error estimation for semi-discrete solutions of parabolic problems based on elliptic reconstruction ⋮ Mesh optimization using an improved self-organizing mechanism ⋮ An adaptive SUPG method for evolutionary convection-diffusion equations ⋮ A posteriori error estimations for mixed finite-element approximations to the Navier-Stokes equations ⋮ A posteriori error estimates for fully discrete nonlinear parabolic problems ⋮ Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems ⋮ A posteriori error estimations for mixed finite element approximations to the Navier-Stokes equations based on Newton-type linearization
Cites Work
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- Toward a universal h-p adaptive finite element strategy. II: A posteriori error estimation
- Galerkin finite element methods for parabolic problems
- Approximation results for spectral methods with domain decomposition
- Aspects of an adaptive \(hp\)-finite element method: Adaptive strategy, conforming approximation and efficient solvers
- A unified approach to a posteriori error estimation using element residual methods
- Adaptive finite element methods for elliptic equations with non-smooth coefficients
- A postprocessed Galerkin method with Chebyshev or Legendre polynomials
- A postprocess based improvement of the spectral element method
- A Posteriori Error Estimates Based on Hierarchical Bases
- A Posteriori Error Estimation with Finite Element Semi- and Fully Discrete Methods for Nonlinear Parabolic Equations in One Space Dimension
- Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
- A Spectral Element Technique with a Local Spectral Basis
- A Spectral Element Method for the Navier--Stokes Equations with Improved Accuracy
- A Posteriori Finite Element Error Estimation for Diffusion Problems
- Postprocessing the Linear Finite Element Method
- Postprocessing the Galerkin Method: The Finite-Element Case
- Linearly implicit Runge-Kutta methods for advection-reaction-diffusion equations
- A posteriori error estimation for the semidiscrete finite element method of parabolic differential equations
- On one approach to a posteriori error estimates for evolution problems solved by the method of lines
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