Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Relaxed Ka\v{c}anov Iteration for the $p$-Poisson Problem   In this paper, we introduce an iterative linearization scheme that allows to
approximate the weak solution of the $p$-Poisson problem
  \begin{align*}
  -\operatorname{div}(|\nabla u|^{p-2}\nabla u) &= f\quad\text{in }\Omega,
  u&= 0\quad\text{on}\partial\Omega
  \end{align*} for $1 < p \leq 2$. The algorithm can be interpreted as a
relaxed Ka\v{c}anov iteration. We prove that the algorithm converges at least
with an algebraic rate.

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The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys