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SIAMSC
2011
110views more  SIAMSC 2011»
12 years 11 months ago
A Finite Element Method for Second Order Nonvariational Elliptic Problems
We propose a numerical method to approximate the solution of second order elliptic problems in nonvariational form. The method is of Galerkin type using conforming finite elements...
Omar Lakkis, Tristan Pryer
SIAMNUM
2010
178views more  SIAMNUM 2010»
12 years 11 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
AMC
2008
67views more  AMC 2008»
13 years 5 months ago
A nonconforming covolume method for elliptic problems
We consider a control volume(covolume) method for second order elliptic PDEs with the rotated-Q1 nonconforming finite element on rectangular grids. The coefficient may a variable,...
Yun K. Hyon, Ho J. Jang, Do Y. Kwak
COMPUTING
2008
174views more  COMPUTING 2008»
13 years 4 months ago
Multilevel algorithms for Rannacher-Turek finite element approximation of 3D elliptic problems
Generalizing the approach of a previous work [15] the authors present multilevel preconditioners for three-dimensional (3D) elliptic problems discretized by a family of Rannacher ...
Ivan Georgiev, Johannes Kraus, Svetozar Margenov
MOC
2011
12 years 11 months ago
Local energy estimates for the finite element method on sharply varying grids
Abstract. Local energy error estimates for the finite element method for elliptic problems were originally proved in 1974 by Nitsche and Schatz. These estimates show that the loca...
Alan Demlow, Johnny Guzmán, Alfred H. Schat...