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Estimates for the combined effect of boundary
approximation and numerical integration on the approximation of
(simple) eigenvalues and eigenvectors of 4th order
eigenvalue problems with variable/constant coefficients
in convex domains with curved boundary by an isoparametric mixed
finite element method, which,
in the particular case of bending problems of
aniso-/ortho-/isotropic plates with variable/constant
thickness, gives a simultaneous approximation to bending moment
tensor field and
displacement...
We consider high order finite difference approximations to the Helmholtz equation in an exterior domain. We include a simplified absorbing boundary condition to approximate the Sommerfeld radiation condition. This yields a large, but sparse, complex system, which is not self-adjoint and not positive definite. We discretize the equation with a compact fourth or sixth order accurate scheme. We solve this large system of linear equations with a Krylov subspace iterative method. Since the method converges...
We consider high order finite difference approximations to the Helmholtz equation in an exterior domain. We include a simplified absorbing boundary condition to approximate the Sommerfeld radiation condition. This yields a large, but sparse, complex system, which is not self-adjoint and not positive definite. We discretize the equation with a compact fourth or sixth order accurate scheme. We solve this large system of linear equations with a Krylov subspace iterative method. Since the method converges...
In this paper, we are concerned with a kind of Signorini transmission problem in a unbounded domain. A variational inequality is derived when discretizing this problem by coupled FEM-BEM. To solve such variational inequality, an iterative method, which can be viewed as a variant of the D-N alternative method, will be introduced. In the iterative method, the finite element part and the boundary element part can be solved independently. It will be shown that the convergence speed of this iteration...
In this paper, we are concerned with a kind of Signorini
transmission problem in a unbounded domain. A variational
inequality is derived when discretizing this problem by coupled
FEM-BEM. To solve such variational inequality, an iterative
method, which can be viewed as a variant of the D-N alternative
method, will be introduced. In the iterative method, the finite
element part and the boundary element part can be solved
independently. It will be shown that the convergence speed of this
iteration...
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