Two-grid virtual element discretization of quasilinear elliptic problem
Abstract
In this paper a two grid algorithm for quasilinear elliptic problem based on virtual element method (VEM) discretization is proposed. With this new algorithm the solution of a quasilinear elliptic problem on a fine grid is reduced to the solution of a quasilinear elliptic problem on a much coarser grid, and the solution of a linear system on the fine grid. A priori error estimate in H1 norm is derived. Numerical experiments are carried out to illustrate the theoretical findings.
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virtual element method, two grid algorithm, a priori error estimateHow to Cite
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Copyright (c) 2024 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2024 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.