Results 21 to 30 of about 87 (75)

On the stability of meshless symmetric collocation for boundary value problems

open access: yes, 2007
In this paper, we study the stability of symmetric collocation methods for boundary value problems using certain positive definite kernels. We derive lower bounds on the smallest eigenvalue of the associated collocation matrix in terms of the separation ...
Holger Wendland (16057514)   +1 more
core  

Stabilizer-free weak Galerkin finite element for linear elastic problems

open access: yes四川大学学报. 自然科学版
Linear elastic problem originates from engineering applications such as machinery and aviation.Due to the complexity of differential equation in the linear elastic problem, the analytic solutions of the problem are still unknown.Although the classical ...
XU Yue, CHEN Yumei, XIE Xiaoping
doaj  

Stability Analysis of Wilson's Element for Incompressible Elasticity

open access: yes, 1994
In this work, the rectangular nonconforming Wilson element in solving incompressible elastic equation is analyzed. Although the element does not satisfies the inf-sup condition (in a mixed formulation), it still can be used to compute the displacement ...
Zhimin Zhang
core  

Crouzeix-Raviart type finite elements on anisotropic meshes

open access: yes, 1999
The paper deals with a non-conforming finite element method on a class of anisotropic meshes. The Crouzeix-Raviart element is used on triangles and tetrahedra. For rectangles and prismatic (pentahedral) elements a novel set of trial functions is proposed.
Thomas Apel   +2 more
core  

Divergence Stability of Certain Increasing Order Finite Element Methods for Elliptic and Semi-Elliptic Problems

open access: yes, 1995
We introduce and analyze stable discrete spaces with quasioptimal approximation properties (with respect to increasing polynomial degree). This will pertain to some general classes of problems: scalar and systems of elliptic as well as semi-elliptic ...
Søren Jensen
core  

A DUAL LEAST-SQUARES FINITE ELEMENT METHOD FOR LINEAR HYPERBOLIC PDES: A NUMERICAL STUDY

open access: yes, 2008
. In this paper, we develop a least-squares finite element method for linear Partial Differential Equations (PDEs) of hyperbolic type. This formulation allows for discontinuities in the numerical approximation and yields a linear system which can be ...
Luke Olson
core  

Computable convergence bounds for GMRES

open access: yes, 1998
The main purpose of this paper is the derivation of computable bounds on the residual norms of (full) GMRES. The new bounds depend on the initial guess and thus are conceptually different from standard 'worst-case' bounds. The analysis is valid
Jörg Liesen
core  

Finite Element Approximation to the System of Shallow Water Equations, Part I: Continuous Time A Priori Error Estimates

open access: yes, 1997
. Various sophisticated finite element models for surface water flow based on the shallow water equations exist in the literature. Gray, Kolar, Luettich, Lynch and Westerink have developed a hydrodynamic model based on the generalized wave continuity ...
M. L. Martinez   +6 more
core  

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