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.
- University of Oxford United Kingdom
- Academy of Sciences Library Czech Republic
- Czech Academy of Sciences Czech Republic
- Polish Academy of Sciences Poland
- Institute of Mathematics Poland
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
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).14 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!