Results 21 to 30 of about 818 (79)
Interior a posteriori error estimates for time discrete approximations of parabolic problems [PDF]
, 2012 a posteriori error estimates for time discrete approximations ...
Charalambos Makridakis +3 more
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A Conformal Energy-Conserved Method for Maxwell’s Equations with Perfectly Matched Layers
Communications in Computational Physics, 2019 In this paper, a conformal energy-conserved scheme is proposed for solving the Maxwell’s equations with the perfectly matched layer. The equations are split as a Hamiltonian system and a dissipative system, respectively.
Chaolong Jiang +2 more
semanticscholar +1 more source
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
core +1 more source
Time-stepping error bounds for fractional diffusion problems with non-smooth initial data
, 2014 We apply the piecewise constant, discontinuous Galerkin method to discretize a fractional diffusion equation with respect to time. Using Laplace transform techniques, we show that the method is first order accurate at the \$n\$th time level \$t_n\$, but ...
McLean, William, Mustapha, Kassem
core +1 more source
, 2014 A proper orthogonal decomposition (POD) method is used to establish a POD-based reduced-order finite difference (FD) extrapolating model with fully second-order accuracy for the non-stationary incompressible Boussinesq equations (NSIBEs).
Zhendong Luo
semanticscholar +1 more source
Div First-Order System LL* (FOSLL*) for Second-Order Elliptic Partial Differential Equations [PDF]
, 2014 The first-order system LL* (FOSLL*) approach for general second-order elliptic partial differential equations was proposed and analyzed in [10], in order to retain the full efficiency of the L2 norm first-order system least-squares (FOSLS) ap- proach ...
Cai, Zhiqiang, Falgout, Rob, Zhang, Shun
core
Journal of Computational Mathematics, 2019 In this paper, a linear implicit L1-Legendre Galerkin Chebyshev collocation method for the generalized timeand space-fractional Burgers equation is developed.
Y. Ma
semanticscholar +1 more source
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
core +1 more source
Galerkin time-stepping methods for nonlinear parabolic equations
, 2004 We consider discontinuous as well as continuous Galerkin methods for the time discretiza- tion of a class of nonlinear parabolic equations. We show existence and local uniqueness and derive optimal order optimal regularity ap riorierror estimates.
G. Akrivis, C. Makridakis
semanticscholar +1 more source
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
core +1 more source