Space-time adaptive methods for the mixed formulation of a linear parabolic problem
DOI10.1007/s10915-017-0514-8zbMath1398.65140OpenAlexW2749775199MaRDI QIDQ1743438
Boyoon Seo, Dongho Kim, Eun-Jae Park
Publication date: 13 April 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-017-0514-8
discontinuous Galerkin methodmixed finite element methoda posteriori error estimatorsspace-time adaptivityCN schemeCN reconstruction
Numerical optimization and variational techniques (65K10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- A posteriori error estimates for mixed finite element approximations of parabolic problems
- A posteriori error estimators for the upstream weighting mixed methods for convection diffusion problems
- Mixed methods with dynamic finite-element spaces for miscible displacement in porous media
- Adaptive Crank-Nicolson methods with dynamic finite-element spaces for parabolic problems
- Five ways of reducing the Crank-Nicolson oscillations
- Elliptic partial differential equations of second order
- Some observations on mixed methods for fully nonlinear parabolic problems in divergence form
- Space-time adaptive algorithm for the mixed parabolic problem
- Error estimators for a mixed method
- An A Posteriori Error Analysis of Mixed Finite Element Galerkin Approximations to Second Order Linear Parabolic Problems
- Global Estimates for Mixed Methods for Second Order Elliptic Equations
- A Priori and A Posteriori Pseudostress-velocity Mixed Finite Element Error Analysis for the Stokes Problem
- A posteriori error estimate for the mixed finite element method
- Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
- A posteriori error estimates for the Crank–Nicolson method for parabolic equations
- Finite Element Methods for Navier-Stokes Equations
- Continuous Finite Elements in Space and Time for the Heat Equation
- Error estimates for some mixed finite element methods for parabolic type problems
- A‐posteriori error estimates for the finite element method
- A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements
- Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems
- Mixed finite element methods for generalized Forchheimer flow in porous media
- A posteriori error estimation and adaptivity for degenerate parabolic problems
- A Mixed Finite Element Method for a Strongly Nonlinear Second-Order Elliptic Problem
- Mixed Finite Element Methods for Nonlinear Second-Order Elliptic Problems
- Adaptive Finite Element Methods for Parabolic Problems IV: Nonlinear Problems
- A Posteriori Error Control for Fully Discrete Crank--Nicolson Schemes
- A Posteriori Error Estimators for the Raviart–Thomas Element
- A Priori and A Posteriori Analysis of Mixed Finite Element Methods for Nonlinear Elliptic Equations
- A MULTISCALE MORTAR MIXED FINITE ELEMENT METHOD FOR SLIGHTLY COMPRESSIBLE FLOWS IN POROUS MEDIA
- A Posteriori Error Estimates for the Mortar Mixed Finite Element Method
This page was built for publication: Space-time adaptive methods for the mixed formulation of a linear parabolic problem
