Results 261 to 270 of about 13,001,711 (294)
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Exponentially accurate spectral and spectral element methods for fractional ODEs
Journal of Computational Physics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohsen Zayernouri, George E. Karniadakis
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Spectral Finite Element Method
2011This chapter presents the procedures for the development of various types of spectral elements. The chapter begins with basic outline of spectral finite element formulation and illustrates its utility for wave propagation studies is complex structural components.
Srinivasan Gopalakrishnan +2 more
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SIAM Journal on Scientific Computing, 1999
The problem considered is the domain decomposition for the Poisson equation on domains in \(\mathbb{R}^2\) and \(\mathbb{R}^3\). The authors introduce several preconditioners for the interface problems arising in \(p\)-version finite-element methods. They give a careful analysis of the effect of preconditioning on the condition number.
Weiming Cao, Benqi Guo
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The problem considered is the domain decomposition for the Poisson equation on domains in \(\mathbb{R}^2\) and \(\mathbb{R}^3\). The authors introduce several preconditioners for the interface problems arising in \(p\)-version finite-element methods. They give a careful analysis of the effect of preconditioning on the condition number.
Weiming Cao, Benqi Guo
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On A New Boundary Element Spectral Method
1987An efficient numerical algorithm for partial differential equations in complicated 3-D geometries is developed in case of viscous fluid flows. The algorithm consists essentially of a combination of a boundary element method (where the resulting linear algebraic system is solved efficiently with a multigrid procedure) and a spectral method to treat the ...
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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-
Claudio Canuto +2 more
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Mimetic spectral element methods
AIP Conference Proceedings, 2015Mimetic spectral element methods are arbitrary order methods which aim to mimic the underlying physical structure of a PDE. This is best accomplished in terms of differential geometry in which the physical variables are considered as differential k-forms. At the discrete level, the system is represented by k-cochains from algebraic topology.
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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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Overlapping Schwarz Methods for Unstructured Spectral Elements
Journal of Computational Physics, 2000The authors introduce and study a parallel and scalable domain decomposition method for unstructured and hybrid spectral element discretizations of elliptic problems. The spectral elements are affine images of the reference triangle or square in two dimensions and of the reference tetrahedron, pyramid, prism, or cube in three dimensions.
L.F. Pavarino, T. Warburton
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Spectral Element Methods for Axisymmetric Stokes Problems
Journal of Computational Physics, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gerritsma, M. I., Phillips, T. N.
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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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