17 citations · 55 across the 7 of their papers we have counts for
3 papers · 2 filters
Goal-oriented adaptive finite element method for semilinear elliptic PDEs
Roland Becker, Maximilian Brunner, Michael Innerberger +2
We formulate and analyze a goal-oriented adaptive finite element method (GOAFEM) for a semilinear elliptic PDE and a linear goal functional. The strategy involves the finite elemen…
Adaptive FEM for parameter-errors in elliptic linear-quadratic parameter estimation problems
Roland Becker, Michael Innerberger, Dirk Praetorius
We consider an elliptic linear-quadratic parameter estimation problem with a finite number of parameters. A novel a priori bound for the parameter error is proved and, based on thi…
Goal-oriented adaptive finite element methods with optimal computational complexity
Roland Becker, Gregor Gantner, Michael Innerberger +1
We consider a linear symmetric and elliptic PDE and a linear goal functional. We design and analyze a goal-oriented adaptive finite element method, which steers the adaptive mesh-r…