Second‐order time discretization for a coupled quasi‐Newtonian fluid‐poroelastic system
Sign Up to like & getrecommendations! Published in 2019 at "International Journal for Numerical Methods in Fluids"
DOI: 10.1002/fld.4801
Abstract: Numerical methods are proposed for the nonlinear Stokes‐Biot system modeling interaction of a free fluid with a poroelastic structure. We discuss time discretization and decoupling schemes that allow the fluid and the poroelastic structure computed… read more here.
Keywords: fluid poroelastic; time discretization; system; second order ... See more keywords
L∞-error estimates of discontinuous Galerkin methods with theta time discretization scheme for an evolutionary HJB equations
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DOI: 10.1002/mma.4306
Abstract: The main purpose of this paper is to analyze the convergence and regularity of our proposed algorithm of the finite element methods coupled with a theta time discretization scheme for evolutionary Hamilton-Jacobi-Bellman equations with linear… read more here.
Keywords: scheme evolutionary; theta time; time discretization; discretization scheme ... See more keywords
EPIRK-W and EPIRK-K Time Discretization Methods
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-018-0761-3
Abstract: Exponential integrators are special time discretization methods where the traditional linear system solves used by implicit schemes are replaced with computing the action of matrix exponential-like functions on a vector. A very general formulation of… read more here.
Keywords: epirk epirk; discretization methods; methods epirk; time discretization ... See more keywords
Time-discretization schema for a semilinear pseudo-parabolic equation with integral conditions
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DOI: 10.1016/j.apnum.2019.09.002
Abstract: Abstract In this paper, we use the Rothe time-discretization method to prove the existence and uniqueness of a strong solution of a semilinear pseudo-parabolic equation with integral conditions. We also provided an example to illustrate… read more here.
Keywords: pseudo parabolic; parabolic equation; time discretization; semilinear pseudo ... See more keywords
A variational time discretization for compressible Euler equations
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DOI: 10.1090/tran/7747
Abstract: We introduce a variational time discretization for the multidimensional gas dynamics equations, in the spirit of minimizing movements for curves of maximal slope. Each time step requires the minimization of a functional measuring the acceleration… read more here.
Keywords: time; compressible euler; time discretization; euler equations ... See more keywords