A spectral method for the wave equation of divergence-free vectors and symmetric tensors inside a sphere
@article{Novak2010ASM, title={A spectral method for the wave equation of divergence-free vectors and symmetric tensors inside a sphere}, author={J. Novak and J.-L. Cornou and N. Vasset}, journal={J. Comput. Phys.}, year={2010}, volume={229}, pages={399-414} }
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References
SHOWING 1-10 OF 40 REFERENCES
A Multidomain Spectral Method for Scalar and Vectorial Poisson Equations with Noncompact Sources
- Mathematics
- 2001
We present a spectral method for solving elliptic equations which arise in general relativity, namely three-dimensional scalar Poisson equations, as well as generalized vectorial Poisson equations of…
Constrained scheme for the Einstein equations based on the Dirac gauge and spherical coordinates
- Physics, Mathematics
- 2004
We propose a new formulation for 3+1 numerical relativity, based on a constrained scheme and a generalization of Dirac gauge to spherical coordinates. This is made possible thanks to the introduction…
Tensor Harmonics in Canonical Form for Gravitational Radiation and Other Applications
- Physics
- 1970
An analysis is made of the relation between the tensor harmonics given by Regge and Wheeler in 1957 and those given by Jon Mathews in 1962. This makes it possible to use the Regge‐Wheeler harmonics,…
Poloidal-toroidal decomposition in a finite cylinder. I: Influence matrices for the magnetohydrodynamic equations
- MathematicsJ. Comput. Phys.
- 2007
Implementation of higher-order absorbing boundary conditions for the Einstein equations
- Mathematics
- 2009
We present an implementation of absorbing boundary conditions for the Einstein equations based on the recent work of Buchman and Sarbach. In this paper, we assume that spacetime may be linearized…
Poloidal-toroidal decomposition in a finite cylinder: II. Discretization, regularization and validation
- PhysicsJ. Comput. Phys.
- 2007
Rapid evaluation of radiation boundary kernels for time-domain wave propagation on blackholes: theory and numerical methods
- Mathematics
- 2004
Spectral Methods for Numerical Relativity
- PhysicsLiving reviews in relativity
- 2009
This paper focuses on a class called spectral methods in which, typically, the various functions are expanded in sets of orthogonal polynomials or functions, and presents results obtained by various groups in the field of general relativity by means of spectral methods.
Multipole expansions of gravitational radiation
- Physics
- 1980
This paper brings together, into a single unified notation, the multipole formalisms for gravitational radiation which various people have constructed. It also extends the results of previous…