Error Estimates for the Finite Element Approximation of Problems in Unbounded Domains

Authors:
Houde Han;Weizhu Bao
Affiliations:
-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2000

Citing 0
Cited 6

Error estimates of the DtN finite element method for the exterior Helmholtz problem

Journal of Computational and Applied Mathematics
Artificial boundary conditions for parabolic Volterra integro-differential equations on unbounded two-dimensional domains

Journal of Computational and Applied Mathematics
A Tailored Finite Point Method for a Singular Perturbation Problem on an Unbounded Domain

Journal of Scientific Computing
Non-conforming finite element and artificial boundary in multi-atomic Young measure approximation for micromagnetics

Applied Numerical Mathematics
Error estimates of the finite element method for the exterior Helmholtz problem with a modified DtN boundary condition

Journal of Computational and Applied Mathematics
Numerical solution to coupled nonlinear Schrödinger equations on unbounded domains

Mathematics and Computers in Simulation

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Abstract

We construct and analyze a new family of rectangular (two-dimensional) or cubic (three-dimensional) mixed finite elements for the approximation of the acoustic wave equations. The main advantage of this element is that it permits us to obtain through ...