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MATHEMATICA notebook for computing tetrahedral finite element shape functions and matrices for the Helmholtz equation
(Institute of Electrical and Electronics Engineers (IEEE), 1998-09-01)
A MATHEMATICA notebook to compute the elements of the matrices which arise in the solution of the Helmholtz equation by the finite element method (nodal approximation) for tetrahedral elements of any approximation order ...
MATHEMATICA notebook for computing tetrahedral finite element shape functions and matrices for the Helmholtz equation
(Institute of Electrical and Electronics Engineers (IEEE), 1998-09-01)
A MATHEMATICA notebook to compute the elements of the matrices which arise in the solution of the Helmholtz equation by the finite element method (nodal approximation) for tetrahedral elements of any approximation order ...
Convergence of adaptive finite element methods for eigenvalue problems
(World Scientific, 2009-05)
In this paper we prove convergence of adaptive finite element methods for second-order elliptic eigenvalue problems. We consider Lagrange finite elements of any degree and prove convergence for simple as well as multiple ...
Analysis of the Finite Element Method for the Laplace–Beltrami Equation on Surfaces with Regions of High Curvature Using Graded Meshes
(Springer New York LLC, 2017)
We derive error estimates for the piecewise linear finite element approximation of the Laplace–Beltrami operator on a bounded, orientable, (Formula presented.), surface without boundary on general shape regular meshes. As ...