Methods of Fundamental Solutions in Solid Mechanics
Hui Wang, Qing-Hua Qin
Since the basic concept behind the method of fundamental solutions (MFS)
was developed primarily by V. D. Kupradze and M. A. Alexidze in 1964, the
meshless MFS has become an effective tool for the solution of a large variety of
physical and engineering problems, such as potential problems, elastic problems,
crack problems, fluid problems, piezoelectric problems, antiplane problems,
inverse problems, and free-boundary problems. More recently, it has been
extended to deal with inhomogeneous partial differential equations, partial
differential equations with variable coefficients, and time-dependent problems,
by introducing radial basis function interpolation (RBF) for particular solutions
caused by inhomogeneous terms.
was developed primarily by V. D. Kupradze and M. A. Alexidze in 1964, the
meshless MFS has become an effective tool for the solution of a large variety of
physical and engineering problems, such as potential problems, elastic problems,
crack problems, fluid problems, piezoelectric problems, antiplane problems,
inverse problems, and free-boundary problems. More recently, it has been
extended to deal with inhomogeneous partial differential equations, partial
differential equations with variable coefficients, and time-dependent problems,
by introducing radial basis function interpolation (RBF) for particular solutions
caused by inhomogeneous terms.
Năm:
2019
Nhà xuát bản:
Elsevier
Ngôn ngữ:
english
Trang:
296
ISBN 10:
0128182830
ISBN 13:
9780128182833
File:
PDF, 21.52 MB
IPFS:
,
english, 2019
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