Improved error estimation of dynamic finite element methods for second-order parabolic equations
From MaRDI portal
Publication:5928298
DOI10.1016/S0377-0427(99)00362-3zbMath0971.65082MaRDI QIDQ5928298
Publication date: 1 November 2001
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
error estimationdynamic finite element methodsnonlinear parabolic equationssecond-order parabolic equations
Nonlinear parabolic equations (35K55) 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) Initial value problems for second-order parabolic equations (35K15)
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Cites Work
- Mixed methods with dynamic finite-element spaces for miscible displacement in porous media
- Space-time finite element methods for second-order hyperbolic equations
- A characteristic mixed method with dynamic finite-element space for convection-dominated diffusion problems
- Discontinuous Galerkin finite element methods for second order hyperbolic problems
- Grid modification for the wave equation with attenuation
- Dynamic domain decomposition and grid modification for parabolic problems
- Approximation properties of the \(h\)-\(p\) version of the finite element method
- Simulation of miscible displacement in porous media by a modified Uzawa's algorithm combined with a characteristic method
- Different domain decompositions at different times for capturing moving local phenomena
- Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
- Moving Finite Elements. I
- Moving Finite Elements. II
- A Moving Mesh Numerical Method for Hyperbolic Conservation Laws
- Galerkin-Type Approximations which are Discontinuous in Time for Parabolic Equations in a Variable Domain
- Stability and Convergence of a Generalized Crank-Nicolson Scheme on a Variable Mesh for the Heat Equation
- Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
- Mesh Modification for Evolution Equations
- An Analysis of the Moving Finite-Element Procedure
- Mixed and Hybrid Finite Element Methods
- Analysis of Some Moving Space-Time Finite Element Methods
- A posteriori error estimates for nonlinear problems. 𝐿^{𝑟}(0,𝑇;𝐿^{𝜌}(Ω))-error estimates for finite element discretizations of parabolic equations
- A posteriori error estimates for nonlinear problems:Lr, (0,T;W1,ρ (Ω))-error estimates for finite element discretizations of parabolic equations
- Thepandh-pVersions of the Finite Element Method, Basic Principles and Properties
- Adaptive Finite Element Methods for Parabolic Problems II: Optimal Error Estimates in $L_\infty L_2 $ and $L_\infty L_\infty $
- CONVERGENCE OF THE DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD FOR HYPERBOLIC CONSERVATION LAWS
- Adaptive Finite Element Methods for Parabolic Problems IV: Nonlinear Problems
- Adaptive Finite Element Methods for Parabolic Problems V: Long-Time Integration
- Grid Modification for Second-Order Hyperbolic Problems
- Galerkin Methods for Parabolic Equations
- A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
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