Adjoint and defect error bounding and correction for functional estimates

By Niles A. Pierce, M. Giles. 2003

156 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/078e496e602a7197599d581d7e7cdf82378280b7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Jeffrey A. F. Hittinger
2. David L. Darmofal
3. Jeffrey M. Connors
4. Krzysztof J. Fidkowski
5. Jeffrey W. Banks
6. Carol S. Woodward

In Computational Mechanics

1. Krzysztof J. Fidkowski
2. David L. Darmofal
3. Jeffrey A. F. Hittinger
4. Jeffrey M. Connors
5. Jeffrey W. Banks
6. Carol S. Woodward
7. D. Venditti

Citations in the corpus

• Numerical error estimation for nonlinear hyperbolic PDEs via nonlinear error transport (2011, methodology): “Approximate the residual by reconstructing the approximate solution and directly applying the differential residual operator [13, 17, 20, 21].”
• Review of Output-Based Error Estimation and Mesh Adaptation in Computational Fluid Dynamics (2011, methodology): “In addition, Giles and Pierce [15] [16] describe adjoint correction techniques and Giles and Süli [17] review a posteriori output-error estimation for finite element methods applied to linear and nonlinear partial differential equations relevant to CFD. Hartmann and Houston also provide a recent ove”