Two-grid Raviart-Thomas mixed finite element methods combined with Crank-Nicolson scheme for a class of nonlinear parabolic equations
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DOI: 10.1007/s10444-020-09777-z
Abstract: In this paper, we discuss a priori error estimates of two-grid mixed finite element methods for a class of nonlinear parabolic equations. The lowest order Raviart-Thomas mixed finite element and Crank-Nicolson scheme are used for… read more here.
Keywords: raviart thomas; finite element; mixed finite; two grid ... See more keywords
Analysis of Slope Stability and Software Development Based on Single-Grid and Two-Grid Finite Element Methods
Sign Up to like & getrecommendations! Published in 2017 at "Geotechnical and Geological Engineering"
DOI: 10.1007/s10706-017-0182-3
Abstract: Slope stability has been a long-standing problem in geotechnical practice. The difficulty in analyzing slope stability may be attributed to geological complexity and versatile environments, but the limitations of analysis methods should not be ignored.… read more here.
Keywords: finite element; single grid; two grid; grid two ... See more keywords
Time two-grid algorithm based on finite difference method for two-dimensional nonlinear fractional evolution equations
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DOI: 10.1016/j.apnum.2019.12.011
Abstract: Abstract In this paper, a time two-grid finite difference (FD) algorithm is proposed for solving two-dimensional nonlinear fractional evolution equations. In this time two-grid FD algorithm, a nonlinear FD system is solved on the time… read more here.
Keywords: difference; two grid; time; method ... See more keywords
C0-discontinuous Galerkin methods for a wind-driven ocean circulation model: Two-grid algorithm
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DOI: 10.1016/j.cma.2017.08.034
Abstract: Abstract This paper presents a nonconforming finite element method for a streamfunction formulation of the stationary quasi-geostrophic equations, which describe the large scale wind-driven ocean circulation. The streamfunction formulation is a fourth order nonlinear PDE… read more here.
Keywords: ocean circulation; two grid; discontinuous galerkin; driven ocean ... See more keywords
Two-grid scheme of expanded mixed finite element method for semilinear parabolic integro-differential equations
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DOI: 10.1080/00036811.2020.1834087
Abstract: In this paper, we present a two-grid scheme of expanded mixed finite element method combined with two second-order time discretization schemes for semilinear parabolic integro-differential equation... read more here.
Keywords: finite element; mixed finite; two grid; grid scheme ... See more keywords
Two-grid methods for miscible displacement problem by Galerkin methods and mixed finite-element methods
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2017.1322689
Abstract: ABSTRACT The miscible displacement problem of one incompressible fluid is modelled by a nonlinear coupled system of two partial differential equations in porous media. One equation is elliptic form for the pressure and the other… read more here.
Keywords: mixed finite; two grid; displacement problem; miscible displacement ... See more keywords