Equivalence between the Trefftz method and the method of fundamental solution for the annular Green's function using the addition theorem and image concept

This publication has 22 references indexed in Scilit:

• An effectively modified direct Trefftz method for 2D potential problems considering the domain's characteristic length
  Engineering Analysis with Boundary Elements, 2007
• Alternative derivations for the Poisson integral formula
  International Journal of Mathematical Education in Science and Technology, 2006
• Multipole fast algorithm for the least-squares approach of the method of fundamental solutions for three-dimensional harmonic problems
  Numerical Methods for Partial Differential Equations, 2003
• A numerical green's function approach for boundary elements applied to fracture mechanics
  International Journal for Numerical Methods in Engineering, 1995
• Trefftz method for Kirchhoff plate bending problems
  International Journal for Numerical Methods in Engineering, 1993
• Application of the Trefftz method in plane elasticity problems
  International Journal for Numerical Methods in Engineering, 1990
• The simple layer potential method of fundamental solutions for certain biharmonic problems
  International Journal for Numerical Methods in Fluids, 1989
• The Almansi method of fundamental solutions for solving biharmonic problems
  International Journal for Numerical Methods in Engineering, 1988
• The method of fundamental solutions for the numerical solution of the biharmonic equation
  Journal of Computational Physics, 1987
• Some applications of the Greens' function method in mechanics
  International Journal of Solids and Structures, 1977