Error identities for parabolic equations with monotone spatial operators

Partial functional-differential equations (35R10) A priori estimates in context of PDEs (35B45) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Parabolic equations and parabolic systems (35Kxx)

Cites Work

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Axioms of adaptivity
The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
Adaptive finite elements for a linear parabolic problem
Functional a posteriori error estimates for the parabolic obstacle problem
Accuracy of mathematical models. Dimension reduction, homogenization, and simplification
Guaranteed error bounds and local indicators for adaptive solvers using stabilised space-time IgA approximations to parabolic problems
Space-time methods. Applications to partial differential equations
An elementary method of deriving a posteriori error equalities and estimates for linear partial differential equations
Functional a posteriori error estimates for parabolic time-periodic boundary value problems
Estimates of deviations from exact solutions of initial-boundary value problem for the heat equation
Mixed and Hybrid Finite Element Methods
Reliable and Robust A Posteriori Error Estimation for Singularly Perturbed Reaction-Diffusion Problems
A POSTERIORIERROR ESTIMATION FOR THE FINITE ELEMENT METHOD-OF-LINES SOLUTION OF PARABOLIC PROBLEMS
Implicit-explicit multistep finite element methods for nonlinear parabolic problems
A Convergent Adaptive Algorithm for Poisson’s Equation
A posteriori error estimation for variational problems with uniformly convex functionals
The Mathematical Theory of Finite Element Methods
On the behaviour of solutions of parabolic equations for large values of time
A Posteriori Error Estimates for Finite Element Approximation of Parabolic p-Laplacian
Galerkin Finite Element Methods for Parabolic Problems
A posteriori identities for measures of deviation from exact solutions of nonlinear boundary value problems