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Mesh Smoothing for the Spectral Element Method
Journal of Scientific Computing, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ketan Mittal, Paul Fischer
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2010
The spectral-element method is a high-order numerical method that allows us to solve the seismic wave equation in 3D heterogeneous Earth models. The method enables adaptation of the mesh to the irregular surface topography and to the variable wavelengths inside the Earth. Moreover, the spectral-element method yields accurate solutions for surface waves
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The spectral-element method is a high-order numerical method that allows us to solve the seismic wave equation in 3D heterogeneous Earth models. The method enables adaptation of the mesh to the irregular surface topography and to the variable wavelengths inside the Earth. Moreover, the spectral-element method yields accurate solutions for surface waves
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2009
Chapter 8 introduces multidomain methods to compute problems in geometries that are more complex than a quadrilateral with curved sides. In multidomain spectral methods, and spectral element methods in particular, the domain of interest is subdivided into smaller subdomains that are mapped individually onto the square, allowing problems in truly ...
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Chapter 8 introduces multidomain methods to compute problems in geometries that are more complex than a quadrilateral with curved sides. In multidomain spectral methods, and spectral element methods in particular, the domain of interest is subdivided into smaller subdomains that are mapped individually onto the square, allowing problems in truly ...
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Idempotent filtering in spectral and spectral element methods
Journal of Computational Physics, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kanevsky, Alex +2 more
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Parallelization of Spectral Element Methods
2003Spectral element methods allow for effective implementation of numerical techniques for partial differential equations on parallel architectures. We present two implementations of the parallel algorithm where the communications are performed using MPI. In the first implementation, each processor deals with one element.
Stéphane Airiau +3 more
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Finite-Element Preconditioning of G-NI Spectral Methods
SIAM Journal on Scientific Computing, 2010Several old and new finite-element preconditioners for nodal-based spectral discretizations of $-\Delta u=f$ in the domain $\Omega=(-1,1)^d$ ($d=2$ or 3), with Dirichlet or Neumann boundary conditions, are considered and compared in terms of both condition number and computational efficiency. The computational domain covers the case of classical single-
Canuto Claudio +2 more
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Constraint Oriented Spectral Element Method
2010An original polynomial approximation to solve partial differential equations is presented. This spectral element version takes into account the underlying nature of the corresponding physical problem. For different types of operators, this approach allows to all terms in a variational form to be represented by the same functional dependence and by the ...
E. Ahusborde, M. Azaïez, R. Gruber
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Application of the hybrid spectral integral method with spectral element method
2007 IEEE Antennas and Propagation Society International Symposium, 2007Exact radiation boundary conditions are of great interest to the numerical solution of Maxwell's equations for an unbounded domain. Previously, the boundary element method has been used as an exact radiation boundary condition in the finite element method.
null Jianguo Liu +4 more
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Finite Elements and Spectral Methods
2014In this chapter, the weighted residual methods are introduced. These methods represent the solution as a series of basis functions whose coefficients are determined to make the PDE (and BC) residuals as small as possible (in an average sense). In particular, attention is focused on the Galerkin and collocation methods, and the use of global and local ...
Alain Vande Wouwer +2 more
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Spectral Finite Element Method
2016Spectral finite element method (SFEM) is an efficient technique for solving problems where the frequency content of the input signal is very high. The spectral formulation requires that the assembled system of equations be solved in the frequency domain and utilizes the Fast Fourier Transform (FFT) to transform the time domain responses to the ...
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