Numerical analysis of a non-clamped dynamic thermoviscoelastic contact problem
, 2019 In this work we analyze a non-clamped dynamic viscoelastic contact problem involving thermal effect. The friction law is described by a nonmonotone relation between the tangential stress and the tangential velocity.
Bartman, Piotr +3 more
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Error analysis of a continuous-discontinuous Galerkin finite element method for generalized 2D vorticity dynamics [PDF]
, 2005 A detailed a priori error estimate is provided for a continuous-discontinuous Galerkin finite element method suitable for two-dimensional geophysical flows.
Bokhove, O. +2 more
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Numerical solution of the time-fractional Fokker-Planck equation with general forcing
, 2015 We study two schemes for a time-fractional Fokker-Planck equation with space- and time-dependent forcing in one space dimension. The first scheme is continuous in time and is discretized in space using a piecewise-linear Galerkin finite element method ...
Le, Kim Ngan +2 more
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Numerical analysis of parabolic p-Laplacian: Approximation of trajectories [PDF]
, 2000 The long time numerical approximation of the parabolic p-Laplacian problem with a time-independent forcing term and sufficiently smooth initial data is studied.
Ju, Ning
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A Finite Difference method for the Wide-Angle `Parabolic' equation in a waveguide with downsloping bottom [PDF]
, 2011 We consider the third-order wide-angle `parabolic' equation of underwater acoustics in a cylindrically symmetric fluid medium over a bottom of range-dependent bathymetry.
Antonopoulou, D. C. +2 more
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Operator splitting for the Benjamin-Ono equation
, 2015 In this paper we analyze operator splitting for the Benjamin-Ono equation, u_t = uu_x + Hu_xx, where H denotes the Hilbert transform. If the initial data are sufficiently regular, we show the convergence of both Godunov and Strang splitting.Comment: 18 ...
Dutta, R. +3 more
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Optimal Order Convergence Implies Numerical Smoothness
, 2013 It is natural to expect the following loosely stated approximation principle to hold: a numerical approximation solution should be in some sense as smooth as its target exact solution in order to have optimal convergence.
Chou, So-Hsiang
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, 2018 This paper presents the first analysis of a space--time hybridizable discontinuous Galerkin method for the advection--diffusion problem on time-dependent domains.
Cesmelioglu, Aycil +3 more
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A Posteriori Error Estimates for Fully Discrete Finite Element Method for Generalized Diffusion Equation with Delay. [PDF]
J Sci Comput, 2020 Wang W, Yi L, Xiao A.
europepmc +1 more source
Stability and error analysis for a diffuse interface approach to an advection-diffusion equation on a moving surface. [PDF]
Numer Math (Heidelb), 2018 Deckelnick K, Styles V.
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