期刊
出版社
EDP SCIENCES S A
DOI: 10.1051/m2an:2007001
关键词
finite volume schemes; irregular grids; non-linear elliptic equations; Leray-Lions operators
We construct finite volume schemes, on unstructured and irregular grids and in any space dimension, for non-linear elliptic equations of the p-Laplacian kind: -div(vertical bar del u vertical bar(p-2)del u) = f (with 1 < p < infinity). We prove the existence and uniqueness of the approximate solutions, as well as their strong convergence towards the solution of the PDE. The outcome of some numerical tests are also provided.
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