Extending the method of fundamental solutions to non-homogeneous elastic wave problems
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Publication:512312
DOI10.1016/j.apnum.2016.06.002zbMath1386.74150OpenAlexW2443534989MaRDI QIDQ512312
Carlos J. S. Alves, Svilen S. Valtchev, Nuno F. M. Martins
Publication date: 24 February 2017
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2016.06.002
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Cites Work
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- Efficient Kansa-type MFS algorithm for time-fractional inverse diffusion problems
- Efficient MFS algorithms for inhomogeneous polyharmonic problems
- A time-marching MFS scheme for heat conduction problems
- The method of fundamental solutions for the Cauchy problem in two-dimensional linear elasticity
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- Efficient Kansa-type MFS algorithm for elliptic problems
- Mathematical foundation of the MFS for certain elliptic systems in linear elasticity
- An analysis of a mixed finite element method for the Navier-Stokes equations
- The method of fundamental solutions for elliptic boundary value problems
- The method of fundamental solutions for scattering and radiation problems.
- A meshless, integration-free, and boundary-only RBF technique
- A new method of fundamental solutions applied to nonhomogeneous elliptic problems
- Particular solutions of Helmholtz-type operators using higher order polyharmonic splines
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Error estimates and condition numbers for radial basis function interpolation
- Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators
- Numerical comparison of two meshfree methods for acoustic wave scattering
- Meshfree methods for nonhomogeneous Brinkman flows
- A Kansa-type MFS scheme for two-dimensional time fractional diffusion equations
- High order continuation algorithm and meshless procedures to solve nonlinear Poisson problems
- The method of approximate particular solutions for solving certain partial differential equations
- A survey of applications of the MFS to inverse problems
- Applicability and applications of the method of fundamental solutions
- A Kansa Type Method Using Fundamental Solutions Applied to Elliptic PDEs
- Fundamental Solutions Method for Elliptic Boundary Value Problems
- The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
- On the far-field operator in elastic obstacle scattering
- The method of fundamental solutions with dual reciprocity for three‐dimensional thermoelasticity under arbitrary body forces
- Identification and reconstruction of elastic body forces
- Bifurcation indicator based on meshless and asymptotic numerical methods for nonlinear poisson problems
- The method of functional equations for the approximate solution of certain boundary value problems
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