4 papers · 1 filter
Randomized Projection Operators onto Piecewise Polynomial Spaces
Johannes Storn
We introduce computable projection operators onto piecewise polynomial spaces, defined via sampling and discrete least-squares polynomial approximations. The resulting mappings exh…
Quasi-optimality of the Crouzeix-Raviart FEM for p-Laplace-type problems
Johannes Storn
We verify quasi-optimality of the Crouzeix-Raviart FEM for nonlinear problems of -Laplace type. More precisely, we show that the error of the Crouzeix-Raviart FEM with respect t…
Solving Minimal Residual Methods in with large Exponents
Johannes Storn
We introduce a numerical scheme that approximates solutions to linear PDE's by minimizing a residual in the norm with exponents . The resulting problem is solv…
Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap
Anna Kh. Balci, Christoph Ortner, Johannes Storn
We investigate the convergence of the Crouzeix-Raviart finite element method for variational problems with non-autonomous integrands that exhibit non-standard growth conditions. Wh…