High-order methods and numerical boundary conditions
نویسندگان
چکیده
منابع مشابه
Numerical Boundary Conditions for the Fast Sweeping High Order WENO Methods for Solving the Eikonal Equation
High order fast sweeping methods have been developed recently in the literature to solve static Hamilton-Jacobi equations efficiently. Comparing with the first order fast sweeping methods, the high order fast sweeping methods are more accurate, but they often require additional numerical boundary treatment for several grid points near the boundary because of the wider numerical stencil. It is p...
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A high-order Absorbing Boundary Condition (ABC) is devised on an artificial boundary for time-dependent elastic waves in unbounded domains. The configuration considered is that of a two-dimensional elastic waveguide. The proposed ABC is an extension of the Hagstrom-Warburton ABC which was originally designed for acoustic waves, and is applied directly to the displacement field. The order of the...
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We study strategies for increasing the precision in the blurring models by maintaining a complexity in the related numerical linear algebra procedures (matrixvector product, linear system solution, computation of eigenvalues etc.) of the same order of the celebrated Fast Fourier Transform. The key idea is the choice of a suitable functional basis for representing signals and images. Starting fr...
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ژورنال
عنوان ژورنال: Computer Methods in Applied Mechanics and Engineering
سال: 2007
ISSN: 0045-7825
DOI: 10.1016/j.cma.2007.04.015