5 papers
The dual IRLS scheme for (hyper-)graph -Laplacians and regression with large exponents
Johannes Storn
We introduce an iterative scheme for discrete convex minimization problems of -Laplace type such as variational graph -Laplace problems and regression. In each itera…
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…