Results 11 to 20 of about 818 (79)
A Finite Element Algorithm for Nematic Liquid Crystal Flow Based on the Gauge-Uzawa Method
Journal of Computational Mathematics, 2022 In this paper, we present a finite element algorithm for the time-dependent nematic liquid crystal flow based on the Gauge-Uzawa method. This algorithm combines the Gauge and Uzawa methods within a finite element variational formulation, which is a fully
Pengzhan Huang
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, 2021 The stability of a compact finite difference scheme on general nonuniform temporal meshes for a time fractional two-dimensional biharmonic problem is proved and graded mesh error estimates are derived.
Mingrong Cui
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, 2021 An hp-version of C-CPG time-stepping method for second-order Volterra integro-differential equations with weakly singular kernels is studied. In contrast to the methods reducing second-order problems to first-order systems, here the CG and DG ...
Shuangshuang Li
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Advances in Applied Mathematics and Mechanics, 2020 In this paper, we solve linear parabolic integral differential equations using the weak Galerkin finite element method (WG) by adding a stabilizer. The semidiscrete and fully-discrete weak Galerkin finite element schemes are constructed.
Xiuli Wang
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Convergence Analysis of Exponential Time Differencing Schemes for the Cahn-Hilliard Equation†
Communications in Computational Physics, 2019 In this paper, we rigorously prove the convergence of fully discrete firstand second-order exponential time differencing schemes for solving the Cahn-Hilliard equation.
Xiao Li
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Analysis of higher order difference method for a pseudo-parabolic equation with delay
Miskolc Mathematical Notes, 2019 In this paper, the author considers the one dimensional initial-boundary problem for a pseudo-parabolic equation with time delay in second spatial derivative.
I. Amirali
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East Asian Journal on Applied Mathematics, 2019 A spatial compact difference scheme for a class of fourth-order temporal multi-term fractional wave equations is developed. The original problem is reduced to a lower order system and the corresponding time fractional derivatives are approximated by the ...
Guang‐hua Gao, Rui Liu
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An Efficient Spectral Petrov-Galerkin Method for Nonlinear Hamiltonian Systems
Communications in Computational Physics, 2019 In this paper, an efficient spectral Petrov-Galerkin time-stepping method for solving nonlinear Hamiltonian systems is presented and studied. Conservation properties of the proposed method (including symplectic structure preserving and energy ...
Jing An
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Robust error estimates in weak norms for advection dominated transport problems with rough data [PDF]
, 2014 We consider mixing problems in the form of transient convection--diffusion equations with a velocity vector field with multiscale character and rough data.
Burman, Erik
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POD Applied to Numerical Study of Unsteady Flow Inside Lid-driven Cavity
Journal of Mathematical Study, 2018 Flow inside a lid-driven cavity (LDC) is studied here to elucidate bifurcation sequences of the flow at super-critical Reynolds numbers (Recr1) with the help of analyzing the time series at most energetic points in the flow domain.
Lucas Lestandi
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