Solving Minimal Residual Methods in $W^{-1,p'}$ with large Exponents $p$
Numerical Analysis
2023-12-11 v2 Numerical Analysis
Abstract
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 solved by regularized Kacanov iterations, allowing to compute the solution to the non-linear minimization problem even for large exponents . Such large exponents remedy instabilities of finite element methods for problems like convection-dominated diffusion.
Cite
@article{arxiv.2307.05178,
title = {Solving Minimal Residual Methods in $W^{-1,p'}$ with large Exponents $p$},
author = {Johannes Storn},
journal= {arXiv preprint arXiv:2307.05178},
year = {2023}
}