Sharp 𝐿¹ a posteriori error analysis for nonlinear convection-diffusion problems
From MaRDI portal
Publication:5713217
DOI10.1090/S0025-5718-05-01778-3zbMath1107.65080OpenAlexW2072983694MaRDI QIDQ5713217
Publication date: 12 December 2005
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-05-01778-3
Nonlinear parabolic equations (35K55) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items (5)
On adaptive Eulerian-Lagrangian method for linear convection-diffusion problems ⋮ Unnamed Item ⋮ Lifting solutions of quasilinear convection-dominated problems ⋮ Residual type a posteriori error estimates for the time-dependent Poisson-Nernst-Planck equations ⋮ An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow
Uses Software
Cites Work
- Nonhomogeneous Dirichlet problems for degenerate parabolic-hyperbolic equations
- Quasilinear elliptic-parabolic differential equations
- Entropy solutions for nonlinear degenerate problems
- A characteristic Galerkin method with adaptive error control for the continuous casting problem
- Convergence of a finite volume scheme for nonlinear degenerate parabolic equations
- Adaptive finite elements for a linear parabolic problem
- On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients
- \(L^ 1\)-contraction and uniqueness for quasilinear elliptic-parabolic equations
- On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
- A time- and spaceadaptive algorithm for the linear time-dependent Schrödinger equation
- Adaptive Galerkin Methods with Error Control for a Dynamical Ginzburg--Landau Model in Superconductivity
- A posteriorierror estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations
- Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
- Some Improved Error Estimates for the Modified Method of Characteristics
- Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
- Error Estimates for Adaptive Finite Element Computations
- An Error Estimate for Finite Volume Methods for Multidimensional Conservation Laws
- Adaptive Lagrange–Galerkin methods for unsteady convection-diffusion problems
- Solution of Degenerate Convection-Diffusion Problems by the Method of Characteristics
- A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions
- On the Efficiency of Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients
- An adaptive finite element algorithm with reliable and efficient error control for linear parabolic problems
- A Characteristics-Mixed Finite Element Method for Advection-Dominated Transport Problems
- Adaptive finite element methods for conservation laws based on a posteriori error estimates
- Error Estimates for Finite Element Methods for Scalar Conservation Laws
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Error estimate for approximate solutions of a nonlinear convection-diffusion problem.
- Unnamed Item
This page was built for publication: Sharp 𝐿¹ a posteriori error analysis for nonlinear convection-diffusion problems