A posteriori error estimation and adaptivity in the method of lines with mixed finite elements.
DOI10.1023/A:1022268703907zbMath1060.65642MaRDI QIDQ1775172
Publication date: 4 May 2005
Published in: Applications of Mathematics (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/33039
method of linessuperconvergencemixed finite elementsa posteriori error estimationadaptive refinementadaptive time-stepping
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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Related Items
Cites Work
- Unnamed Item
- Superconvergence for rectangular mixed finite elements
- A posteriori error estimation with finite element methods of lines for one-dimensional parabolic systems
- Superconvergence and a posteriori error estimation for triangular mixed finite elements
- Superconvergence for triangular order \(k=1\) Raviart-Thomas mixed finite elements and for triangular standard quadratic finite element methods
- Superconvergence of mixed finite element semi-discretizations of two time-dependent problems.
- An analysis of Nédélec's method for the spatial discretization of Maxwell's equations
- Global Estimates for Mixed Methods for Second Order Elliptic Equations
- Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
- An a Posteriori Error Estimate and Adaptive Timestep Control for a Backward Euler Discretization of a Parabolic Problem
- Global Error Estimation in the Method of Lines for Parabolic Equations
- A Comparison of Three Mixed Methods for the Time-Dependent Maxwell’s Equations
- Adaptive Finite Element Methods for Parabolic Problems VI: Analytic Semigroups
- A Posteriori Error Bounds and Global Error Control for Approximation of Ordinary Differential Equations
- Adaptive Finite Element Methods for Parabolic Problems II: Optimal Error Estimates in $L_\infty L_2 $ and $L_\infty L_\infty $
- Adaptive Finite Element Methods for Parabolic Problems IV: Nonlinear Problems
- Adaptive Finite Element Methods for Parabolic Problems V: Long-Time Integration
- Balancing Space and Time Errors in the Method of Lines for Parabolic Equations
- An \(H^1\)-Galerkin mixed finite element method combined with the modified method of characteristics for incompressible miscible displacement problems in porous media
This page was built for publication: A posteriori error estimation and adaptivity in the method of lines with mixed finite elements.