Meshless local radial point interpolation (MLRPI) to two dimensional wave equation with Neumann’s boundary conditions
DOI10.22034/cmde.2019.9464zbMath1449.65295OpenAlexW2990136383MaRDI QIDQ5211866
Asghar Rahimi, Mostafa Hosseini, Elyas Shivanian
Publication date: 28 January 2020
Full work available at URL: https://cmde.tabrizu.ac.ir/article_9464_2436e78017e3fbb60ea238e23b3c4f75.pdf
finite differenceradial basis functionNeumann's boundary conditionslocal weak formulation2-D wave equationmeshless local radial point interpolation (MLRPI)
Numerical methods for integral equations (65R20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical interpolation (65D05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
Cites Work
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- Modeling nonlinear waves in a numerical wave tank with localized meshless RBF method
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- Numerical simulation of two-dimensional sine-Gordon solitons via a local weak meshless technique based on the radial point interpolation method (RPIM)
- Element-free Galerkin methods for static and dynamic fracture
- A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions
- Generalizing the finite element method: Diffuse approximation and diffuse elements
- A boundary point interpolation method for stress analysis of solids.
- The partition of unity finite element method: basic theory and applications
- The method of finite spheres
- Solving a class of nonlinear boundary integral equations based on the meshless local discrete Galerkin (MLDG) method
- A meshless discrete collocation method for the numerical solution of singular-logarithmic boundary integral equations utilizing radial basis functions
- An improved numerical scheme for the sine-Gordon equation in 2+1 dimensions
- Element‐free Galerkin methods
- Radial Basis Functions
- Reproducing kernel particle methods
- Numerical study of radial basis function interpolation for data transfer across discontinuous mesh interfaces
- Application of thin plate splines for solving a class of boundary integral equations arisen from Laplace's equations with nonlinear boundary conditions
- A stable finite difference scheme for solving a hyperbolic two‐step model in a 3D micro sphere exposed to ultrashort‐pulsed lasers
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