Discrete Fundamental Solution Preconditioning for Hyperbolic Systems of PDE
نویسندگان
چکیده
منابع مشابه
Discrete Fundamental Solution Preconditioning for Hyperbolic Systems of PDE
We present a new preconditioner for the iterative solution of linear systems of equations arising from discretizations of systems of first order partial differential equations (PDEs) on structured grids. Such systems occur in many important applications, including compressible fluid flow and electormagnetic wave propagation. The preconditioner is a truncated convolution operator, with a kernel ...
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در این پایان نامه روش جدیدی مبتنی بر روش حل معادلات دیفرانسیل پارهای بر اساس روش توابع پایه برای حل مسایل ارتعاش اجباری واستاتیک تیرها و صفحات لایه ای ارایه شده است که می توان تفاوت این روش با روش های متداول توابع پایه را در استفاده از توابع هموار در ارضاء معادلات حاکم و شرایط مرزی دانست. در روش ارایه شده در این پایاننامه از معادله تعادل به عنوان معادله حاکم بر رفتار سیستم استفاده شده است که مو...
15 صفحه اولOperator-Based Preconditioning of Stiff Hyperbolic Systems
We introduce an operator-based scheme for preconditioning stiff components encountered in implicit methods for hyperbolic systems of PDEs posed on regular grids. The method is based on a directional splitting of the implicit operator, followed by a characteristic decomposition of the resulting directional parts. This approach allows for the solution of any number of characteristic components, f...
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ژورنال
عنوان ژورنال: Journal of Scientific Computing
سال: 2005
ISSN: 0885-7474,1573-7691
DOI: 10.1007/s10915-005-9018-z