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SIAMNUM
2010
131views more  SIAMNUM 2010»
9 years 8 months ago
A Rational Interpolation Scheme with Superpolynomial Rate of Convergence
The purpose of this study is to construct a high-order interpolation scheme for arbitrary scattered datasets. The resulting function approximation is an interpolation function when...
Qiqi Wang, Parviz Moin, Gianluca Iaccarino
SIAMNUM
2010
127views more  SIAMNUM 2010»
9 years 8 months ago
The Discrete Duality Finite Volume Method for Convection-diffusion Problems
In this paper we extend the discrete duality finite volume (DDFV) formulation to the steady convection-diffusion equation. The discrete gradients defined in DDFV are used to define...
Yves Coudière, Gianmarco Manzini
SIAMNUM
2010
105views more  SIAMNUM 2010»
9 years 8 months ago
Quantization Based Filtering Method Using First Order Approximation
The quantization based filtering method (see [13], [14]) is a grid based approximation method to solve nonlinear filtering problems with discrete time observations. It relies on o...
Afef Sellami
SIAMNUM
2010
113views more  SIAMNUM 2010»
9 years 8 months ago
Compactness Properties of the DG and CG Time Stepping Schemes for Parabolic Equations
Abstract. It is shown that for a broad class of equations that numerical solutions computed using the discontinuous Galerkin or the continuous Galerkin time stepping schemes of arb...
Noel Walkington
SIAMNUM
2010
95views more  SIAMNUM 2010»
9 years 8 months ago
Robust BDDC Preconditioners for Reissner-Mindlin Plate Bending Problems and MITC Elements
A Balancing Domain Decomposition Method by Constraints (BDDC) is constructed and analyzed for the Reissner-Mindlin plate bending problem discretized with MITC finite elements. This...
L. Beirão da Veiga, C. Chinosi, Carlo Lovad...
SIAMNUM
2010
115views more  SIAMNUM 2010»
9 years 8 months ago
Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusi
In this paper, we study the superconvergence property for the discontinuous Galerkin (DG) and the local discontinuous Galerkin (LDG) methods, for solving one-dimensional time depe...
Yingda Cheng, Chi-Wang Shu
SIAMNUM
2010
99views more  SIAMNUM 2010»
9 years 8 months ago
On the Fourier Extension of Nonperiodic Functions
We obtain exponentially accurate Fourier series for nonperiodic functions on the interval [-1, 1] by extending these functions to periodic functions on a larger domain. The series ...
Daan Huybrechs
SIAMNUM
2010
178views more  SIAMNUM 2010»
9 years 8 months ago
A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
In the numerical simulation of many practical problems in physics and engineering, finite volume methods are an important and popular class of discretization methods due to the loc...
Long Chen
SIAMNUM
2010
96views more  SIAMNUM 2010»
9 years 8 months ago
On the Strong Convergence of Gradients in Stabilized Degenerate Convex Minimization Problems
Infimizing sequences in nonconvex variational problems typically exhibit enforced finer and finer oscillations called microstructures such that the infimal energy is not attained. ...
Wolfgang Boiger, Carsten Carstensen
SIAMNUM
2010
108views more  SIAMNUM 2010»
9 years 8 months ago
Shear Locking in a Plane Elasticity Problem and the Enhanced Assumed Strain Method
The method of enhanced assumed strains (EAS) is a popular tool for avoiding locking phenomena, e.g., a remedy for shear locking in plane elasticity. We consider bending-dominated p...
Dietrich Braess, Pingbing Ming, Zhongci Shi
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