Goal-oriented adaptive finite element methods for elliptic problems revisited

Markus Bürg ^[1] ; Murtazo Nazarov ^[2]
1. [1] Texas A&M University
  
  Texas A&M University
  
  Estados Unidos
2. [2] Uppsala University
  
  Uppsala University
  
  Uppsala domkyrkoförs., Suecia
Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 287, Nº 1 (15 October 2015), 2015, págs. 125-147
Idioma: inglés
DOI: 10.1016/j.cam.2015.03.031
Enlaces
- Texto completo
Resumen
- A goal-oriented a posteriori error estimation of an output functional for elliptic problems is presented. Continuous finite element approximations are used in quadrilateral and triangular meshes. The algorithm is similar to the classical dual-weighted error estimation, however the dual weight contains solutions of the proposed patch problems. The patch problems are introduced to apply Clément and Scott–Zhang type interpolation operators to estimate point values with the finite element polynomials. The algorithm is shown to be reliable, efficient and convergent.