Results 271 to 280 of about 92,516 (310)
Some of the next articles are maybe not open access.
1997
We analyze the discretization of elliptic boundary-value problems defined in domains with a complicated shape, via a domain decomposition approach. The approximated solution is a patchwork of different algebraic polynomials defined in the subdomains and is determined as the result of a preconditioned iterative procedure.
openaire +2 more sources
We analyze the discretization of elliptic boundary-value problems defined in domains with a complicated shape, via a domain decomposition approach. The approximated solution is a patchwork of different algebraic polynomials defined in the subdomains and is determined as the result of a preconditioned iterative procedure.
openaire +2 more sources
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
openaire +1 more source
Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations
SIAM Journal on Scientific Computing, 2014We first develop a spectrally accurate Petrov--Galerkin spectral method for fractional delay differential equations (FDDEs). This scheme is developed based on a new spectral theory for fractional Sturm--Liouville problems (FSLPs), which has been recently presented in [M. Zayernouri and G. E. Karniadakis, J. Comput. Phys., 252 (2013), pp.
Mohsen Zayernouri +3 more
openaire +1 more source
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
openaire +2 more sources
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
openaire +2 more sources
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
openaire +2 more sources
Spectral Finite Element Method
2018In this chapter we describe a method to obtain the solution of second order linear differential equations by means of expansions into sets of Lagrange polynomials called discrete variable representation (DVR). The coefficients of the expansion are obtained by a Galerkin method.
George Rawitscher +2 more
openaire +1 more source
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
openaire +1 more source
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
openaire +1 more source
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 ...
openaire +1 more source
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 ...
openaire +1 more source
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
openaire +1 more source
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
openaire +3 more sources