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Two-grid Method of Expanded Mixed Finite Element Approximations for Parabolic Integro-differential Optimal Control Problems
This paper aims to construct a two-grid scheme of fully discretized expanded mixed finite element methods for optimal control problems governed by...
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Iterative two-grid methods for discontinuous Galerkin finite element approximations of semilinear elliptic problem
In this paper, we design and analyze the iterative two-grid methods for the discontinuous Galerkin (DG) discretization of semilinear elliptic partial...
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An Aggregation-Based Two-Grid Method for Multilevel Block Toeplitz Linear Systems
This paper presents an aggregation-based two-grid method for solving a multilevel block Toeplitz system. Different from the existing multigrid...
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A New Two-grid Algorithm Based on Newton Iteration for the Stationary Navier–Stokes Equations with Dam**
Based on finite element discretization, a new two-grid algorithm based on Newton iteration is proposed to solve the stationary Navier–Stokes...
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The time two-grid algorithm combined with difference scheme for 2D nonlocal nonlinear wave equation
In the paper, we present a time two-grid difference (TGD) method for the approximation of two-dimensional (2D) nonlocal nonlinear wave equation...
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Optimal grid method for the recovery of the potential from two spectra
In this paper, we present a finite difference method defined over the so-called optimal grid to recover a general potential from two spectra, with...
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Conforming element method and shifted-inverse two-grid dicretization for the fourth-order Steklov eigenvalue problem
The fourth-order Steklov eigenvalue problem is essential in analyzing the supported plate and the deformation of the linear elastic hinge phenomenon....
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A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel
A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with a weakly singular kernel is of...
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Superconvergence analysis of a two-grid finite element method for nonlinear time-fractional diffusion equations
Based on spatial finite-element methods combined with classical L1 time step** method, the superconvergence analysis of the two-grid approximate...
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A Two-Grid Spectral Deferred Correction Method for the Multi-Order Fractional Differential Equations
In this paper, we propose a two-grid spectral deferred correction method for the multi-order fractional differential equation. The error analysis of...
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Two-grid hp-version discontinuous Galerkin finite element methods for quasilinear elliptic PDEs on agglomerated coarse meshes
This article considers the extension of two-grid hp -version discontinuous Galerkin finite element methods for the numerical approximation of...
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A Two-Grid Binary Level Set Method for Eigenvalue Optimization
Two-grid methods are popular and efficient discretization techniques for solving nonlinear problems. In this paper, we propose a new two-grid binary...
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A Two-Grid Decoupled Algorithm for a Multi-Dimensional Darcy–Brinkman Fracture Model
In this paper, we study numerical methods for solving a multi-dimensional fracture model, which couples n -dimensional Darcy flow in matrix with
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Local and Parallel Finite Element Methods Based on Two-grid Discretizations for a Transient Coupled Navier-Stokes/Darcy Model
In this paper, some local and parallel finite element methods based on two-grid methods are presented for the non-stationary Navier-Stokes/Darcy...
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Convergence analysis of two-grid methods for second order hyperbolic equation
In this paper, a second-order hyperbolic equation is solved by a two-grid algorithm combined with the expanded mixed finite element method. The error...
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A two-phase multi-objective metaheuristic for a green UAV grid routing problem
This paper deals with Unmanned Aerial Vehicle (UAV) routing in dynamic grid scenarios with limited battery autonomy and multiple charging stations....
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Two-Grid Arrow-Hurwicz Methods for the Steady Incompressible Navier-Stokes Equations
In this paper, three kinds of two-grid Arrow-Hurwicz (A-H) methods are proposed and analyzed for the steady incompressible Navier-Stokes equations,...
