Abstract We analyze an adaptive algorithm for the numerical solution of parametric elliptic partial differential equations in two-dimensional physical domains, with coefficients and right-hand-side functions depending on infinitely many (stochastic) parameters. The generates multilevel stochastic Galerkin approximations; these are represented terms a sparse generalized polynomial chaos expansio...

We formulate and analyze a goal-oriented adaptive finite element method for semilinear elliptic PDE linear goal functional. The discretization is based on elements of arbitrary (but fixed) polynomial degree involves linearized dual problem. linearization part the proposed algorithm, which employs marking strategy different to that standard methods. Moreover, unlike well-known dual-weighted resi...

electrocardiogram (ecg) is one of the most common biological signals which plays a significant role in diagnosis of heart diseases. one of the most important parts of ecg signal processing is interpretation of qrs complex and obtaining its characteristics. r wave is one of the most important sections of this complex which has an essential role in diagnosis of heart rhythm irregularities and als...