Elliptic Differential Equations: Theory and Numerical Treatment (1992. 2nd Printing 2003)

This book offers a simultaneous treatment of the theory and the numerical treatment of elliptic problems. The subjects dealt with include the classical theory (Green's function, maximum principle, etc.) as well as the variational formulation. The author describes and analyses finite difference and finite element methods. Specific chapters are devoted to the eigenvalue problem and the Stokes problem.