Complementarity based a posteriori error estimates and their properties
Copyright policy )Complementarity based a posteriori error estimates and their properties
The paper studies complementary approaches in a posteriori finite element error estimation for a diffusion-reaction model problem. These approaches provide sharp and guaranteed upper bonds for the energy norm of the error and they are independent from the way how the approximate solution is obtained. Numerical tests are also discussed.
- Academy of Sciences Library Czech Republic
- Czech Academy of Sciences Czech Republic
- University of Oxford United Kingdom
a posteriori error estimates, method of hypercircles, numerical examples, Error bounds for boundary value problems involving PDEs, Boundary value problems for second-order elliptic equations, complementary energy, dual finite elements, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, error majorant, method of hypercircle, diffusion-reaction model
a posteriori error estimates, method of hypercircles, numerical examples, Error bounds for boundary value problems involving PDEs, Boundary value problems for second-order elliptic equations, complementary energy, dual finite elements, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, error majorant, method of hypercircle, diffusion-reaction model
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