S. Tomov

Learn More
To my wife, Sissie, for her love, support, and encouragement throughout this seemingly never-ending task. To my parents, Wajid and Edelgard, who got me started on this path. To my boys, Alexander and Nicholas, who bring joy to my life. iii Acknowledgements * I would like to thank my adviser, Dr. Jack Dongarra for his guidance and support during the(More)
Local mesh-refining algorithms known from adaptive finite element methods are adopted for locally conservative and monotone finite volume discretizations of boundary value problems for steady-state convection-diffusion-reaction equations. The paper establishes residual-type explicit error estimators and averaging techniques for a posteriori finite volume(More)
  • 1