WebApr 1, 2016 · The two-grid method involves solving one small, nonlinear coarse mesh system and two linear problems on the fine mesh which have the same stiffness matrix with only different right-hand side. WebJun 1, 2024 · Two-grid method was firstly introduced for nonselfadjoint or indefinite problems by Xu [32] and was developed for semilinear elliptic equations and nonlinear PDEs [33], [34] later. The basic idea of the two-grid algorithm is to solve a small nonlinear system on a coarse space, then solve simple linear system on the fine grid.
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WebA new finite element discretization technique based on two (coarse and fine) subspaces is presented for a semilinear elliptic boundary value problem. The solution of a nonlinear … WebJun 3, 2015 · In this paper, we construct semi-discrete two-grid finite element schemes and full-discrete two-grid finite element schemes for the two-dimensional time-dependent Schrödinger equation. The semi-discrete schemes are proved to be convergent with an optimal convergence order and the full-discrete schemes, verified by a numerical example, … health central winter garden fl
Two-grid methods for nonlinear time fractional diffusion …
WebAug 1, 2024 · The two-grid method involves solving one small, nonlinear coarse mesh system and two linear problems on the fine mesh which have the same stiffness matrix … WebA number of finite element discretization techniques based on two (or more) subspaces for nonlinear elliptic partial differential equations (PDEs) is presented. Convergence estimates are derived to justify the efficiency of these algorithms. With the new proposed techniques, solving a large class of nonlinear elliptic boundary value problems will not be much more … WebA two-grid block-centered finite difference method is proposed for solving the two-dimensional Darcy--Forchheimer model describing non-Darcy flow in porous media. To construct the two-grid method we modify the original nonlinear elliptic operator of Darcy--Forchheimer flow to a twice continuously differentiable one by introducing a small and … health central women\\u0027s care dallas tx