Finite-element approximation and iterative solution of a class of mildly nonlinear elliptic equations. STAN-CS-78-674

Technical Report · Wed Nov 01 00:00:00 EST 1978

OSTI ID:6516817

Chan, T; Glowinski, R

The numerical analysis of a particular class of nonlinear Dirichlet problems is described. An equivalent variational inequality formulation on which the problems of existence, uniqueness and approximation are easier to discuss is considered. In particular, the convergence of an approximation is proved by piecewise linear finite elements. Finally, several iterative methods for solving the approximate problems are described, particularly some new algorithms of augmented Lagrangian type, which contain as special case some well-known alternating direction methods. Numerical results are presented.

• Research Organization: Stanford Univ., CA (USA). Dept. of Computer Science; Paris-6 Univ., 75 (France)
• DOE Contract Number: AT03-76ER71030
• OSTI ID: 6516817
• Report Number(s): SU-36-P30-60
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
DIRICHLET PROBLEM
NUMERICAL ANALYSIS
ALGORITHMS
FINITE ELEMENT METHOD
ITERATIVE METHODS
NONLINEAR PROBLEMS
PROGRAMMING
THEORETICAL DATA
VARIATIONAL METHODS
DATA
INFORMATION
MATHEMATICAL LOGIC
MATHEMATICS
NUMERICAL DATA
NUMERICAL SOLUTION
990200* - Mathematics & Computers