Asymptotic a posteriori finite element bounds for the outputs of noncoercive problems: The Helmholtz and Burgers equations
A posteriori finite element error bounds for certain linear functionals of the solutions to linear and semilinear elliptic equations are derived. Under weak hypotheses on the behavior of the numerical solution reliable upper and lower bounds on the functionals can be given and verified in practical one-dimensional computations with Helmholtz' and Burger equation.
scientific article; zbMATH DE number 1422565