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Symplectic Discretization for Spectral Element Solution of Maxwell’s Equations
Maxwell’s Equations Spectral Element Method Poisson System Sym-plectic Partitioned Runge-Kutta Method
2012/8/8
Based on the GLL-spectral element discretization of time-dependent Maxwell’s equa-
tions introduced recently, we obtain a Poisson system or a Poisson system with a little
oscillation. We prove that ...
An Adaptive Multilevel Method For Time-Harmonic Maxwell Equations With Singularities
Maxwell's equations singularities of solutions adaptive 痭 ite element method multigrid method
2012/8/8
We develop an adaptive edge 痭ite element method based on reliable and e眂ient
residual-based a posteriori error estimates for low-frequency time-harmonic Maxwell's equations with
singularities. The r...
Blowup for the C^1 Solutions of the Euler-Poisson Equations of Gaseous Stars in R^N
C^1 Solutions Euler-Poisson Equations Gaseous Stars
2011/2/25
The Newtonian Euler-Poisson equations with attractive forces are the classical models for
the evolution of gaseous stars and galaxies in astrophysics. In this paper, we use the integration method to ...
Solvability of second-order equations with hierarchically partially BMO coefficients
Second-order equations vanishing mean oscillation partially BMO coefficients
2010/12/14
By using some recent results for divergence form equations obtained in [7, 10], we study the Lp-solvability of second-order ellip-tic and parabolic equations in nondivergence form for any p 2 (1,1).Th...