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Preconditioning Complicated Finite Elements by Simple Finite Elements
SIAM Journal on Scientific Computing, 1996A very subtle and useful method of preconditioning finite elements with a large number of degrees of freedom by simpler finite elements is proposed. A second-order problem (Laplace equation) and a fourth-order problem (biharmonic equation) are considered as examples.
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2002
The finite-difference approach with equidistant grids is easy to understand and straightforward to implement. The resulting uniform rectangular grids are comfortable, but in many applications not flexible enough. Steep gradients of the solution require a finer grid such that the difference quotients provide good approximations of the differentials.
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The finite-difference approach with equidistant grids is easy to understand and straightforward to implement. The resulting uniform rectangular grids are comfortable, but in many applications not flexible enough. Steep gradients of the solution require a finer grid such that the difference quotients provide good approximations of the differentials.
openaire +1 more source
MFEM: A modular finite element methods library
Computers and Mathematics With Applications, 2021Robert Anderson +2 more
exaly