Results 21 to 30 of about 82 (70)
International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 2, Page 345-360, 1987., 1987 Optimal error estimates in L2, H1 and H2‐norm are established for a single phase Stefan problem with quasilinear parabolic equation in non‐divergence form by an H1‐Galerkin procedure.
A. K. Pani, P. C. Das
wiley +1 more source
An Adaptive Finite Element Method for Convection-Diffusion Problems by Interpolation Techniques.
, 1991 For adaptive solution of convection- difussion problems with the streamline-diffusion finite element method, an error estimator based on interpolation techniques is developed.
Lang, Jens
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A posteriori error estimation for anisotropic tetrahedral and triangular finite element meshes [PDF]
, 1999 Many physical problems lead to boundary value problems for partial differential equations, which can be solved with the finite element method. In order to construct adaptive solution algorithms or to measure the error one aims at reliable a posteriori ...
Kunert, Gerd
core +2 more sources
PARALLEL IMPLEMENTATIONS OF THE FAST SWEEPING METHOD
, 2008 . The fast sweeping method is an efficient iterative method for hyperbolic problems. It combines Gauss-Seidel iteration with alternating sweeping ordering. In this paper several parallel implementations of the fast sweeping method are presented.
Hongkai Zhao
core
© Hindawi Publishing Corp. L∞-ERROR ESTIMATE FOR A SYSTEM OF ELLIPTIC QUASIVARIATIONAL INEQUALITIES
, 2001 We deal with the numerical analysis of a system of elliptic quasivariational inequal-ities (QVIs). Under W2,p(Ω)-regularity of the continuous solution, a quasi-optimal L∞-convergence of a piecewise linear finite element method is established, involv-ing ...
M. Haiour, S. Saadi, M. Boulbrachene
core
On the stability of meshless symmetric collocation for boundary value problems
, 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
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, 2008 A new procedure for accelerating the convergence of mixed finite element approximations of the eigenpairs and of the biharmonic operator is proposed. It is based on a postprocessing technique that involves an additional solution of a source problem on an
A. B. Andreev +2 more
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A LOCAL COMPUTATIONAL SCHEME FOR HIGHER ORDER FINITE ELEMENT EIGENVALUE APPROXIMATIONS ∗
, 2008 . Based on some coupled discretizations, a local computational scheme is proposed and analyzed in this paper for a class of higher order finite element eigenvalue approximations. Its efficiency is proven by theoretical and numerical evidences.
Aihui Zhou, Lihua Shen, Xiaoying Dai
core
, 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
Crouzeix-Raviart type finite elements on anisotropic meshes
, 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
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