Results 261 to 270 of about 92,516 (310)

Dispersive and Dissipative Behavior of the Spectral Element Method

SIAM Journal on Numerical Analysis, 2009
If the nodes for the spectral element method are chosen to be the Gauss-Legendre-Lobatto points and a Lagrange basis is used, then the resulting mass matrix is diagonal and the method is sometimes then described as the Gauss-point mass lumped finite element scheme.
Mark Ainsworth, Hafiz Abdul Wajid
exaly   +4 more sources

Optimization-based limiters for the spectral element method

Journal of Computational Physics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Oksana Guba, Mark A Taylor, Amik St-Cyr   +2 more
exaly   +2 more sources

Spectral element method for parabolic interface problems

Computer Methods in Applied Mechanics and Engineering, 2018
In this paper, an h∕p spectral element method with least-square formulation for parabolic interface problem will be presented. The regularity result of the parabolic interface problem is proven for non-homogeneous interface data.
Arbaz Khan, Chandra Shekhar Upadhyay, Marc Gerritsma   +2 more
exaly   +2 more sources

Idempotent filtering in spectral and spectral element methods

Journal of Computational Physics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alex Kanevsky, Mark H. Carpenter, Jan S. Hesthaven   +2 more
openaire   +1 more source

Mesh Smoothing for the Spectral Element Method

Journal of Scientific Computing, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ketan Mittal, Paul F. Fischer
openaire   +1 more source

Spectral, Spectral Element and Mortar Element Methods

2001
The spectral and spectral element discretizations of partial differential equations rely on high degree polynomial approximation and on the use of tensorized bases of polynomials. Firstly, on a square or a cube, we describe the basic tools for spectral methods, and we prove some optimal properties of polynomial approximation and interpolation. We apply
Christine Bernardi, Yvon Maday
openaire   +1 more source

Parallelization of Spectral Element Methods

2003
Spectral 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, Mejdi Azaïez, Faker Ben Belgacem, Ronan Guivarch   +3 more
openaire   +1 more source

A Spectral-Element Method for Transmission Eigenvalue Problems

Journal of Scientific Computing, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jing An, Jie Shen 0001
openaire   +3 more sources

Dispersion Analysis for Discontinuous Spectral Element Methods

Journal of Scientific Computing, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. Stanescu, David A. Kopriva, M. Yousuff Hussaini   +2 more
openaire   +2 more sources

Spectral Element Methods on Simplicial Meshes

2013
We present a review in the construction of accurate and efficient multivariate polynomial approximations on elementary domains that are not Cartesian products of intervals, such as triangles and tetrahedra. After the generalities for high-order nodal interpolation of a function over an interval, we introduce collapsed coordinates and warped tensor ...
Rapetti, Francesca, Pasquetti, Richard
openaire   +2 more sources