An Approximation Theorist’s view on solving operator equations—With special attention to Trefftz, MFS, MPS, and DRM methods

• Published in: Computers & mathematics with applications (1987) Vol. 88; pp. 70 - 77
• Main Author: Schaback, Robert
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 15.04.2021; Elsevier BV
• Subjects: Algorithms; Approximation; Convergence; Discretization; Error analysis; Mathematical analysis; Meshless methods; Oversampling; Stability; Stability; Error analysis; Oversampling; Discretization; Meshless methods; Convergence

When an Approximation Theorist looks at well-posed PDE problems or operator equations, and standard solution algorithms like Finite Elements, Rayleigh–Ritz or Trefftz techniques, methods of fundamental or particular solutions and their combinations, they boil down to approximation problems and stabi...