Convergence criteria for systems of nonlinear elliptic partial differential equations

Thesis/Dissertation · Wed Jan 01 00:00:00 EST 1986

OSTI ID:5701107

Sharma, R K

This thesis deals with convergence criteria for a special system of nonlinear elliptic partial differential equations. A fixed-point algorithm is used, which iteratively solves one linearized elliptic partial differential equation at a time. Conditions are established that help foresee the convergence of the algorithm. Under reasonable hypotheses it is proved that the algorithm converges for such nonlinear elliptic systems. Extensive experimental results are reported and they show the algorithm converges in a wide variety of cases and the convergence is well correlated with the theoretical conditions introduced in this thesis.

• Research Organization: Purdue Univ., Lafayette, IN (USA)
• OSTI ID: 5701107
• Resource Relation: Other Information: Thesis (Ph.D)
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
CONVERGENCE
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
ITERATIVE METHODS
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL LOGIC
990210* - Supercomputers- (1987-1989)
657000 - Theoretical & Mathematical Physics