PLTMGC: A multi-grid continuation program for parameterized nonlinear elliptic systems
PLTMGC is a program package for solving nonlinear elliptic systems that have explicit dependence on a scalar parameter. In addition to being able to compute solutions for fixed parameter values, it can be used to solve the linear eigenvalue problem, trace solution branches, locate singular points (simple turning points and bifurcation points) and switch branch at simple bifurcation points. A multi-grid continuation approach is employed in which a continuation procedure is used to follow the solution curve on the coarsest grid and a multi-grid algorithm is used to refine the solution at selected points using an adaptive mesh refinement strategy. Some numerical examples illustrating the performance of the package are given.
- Research Organization:
- Department of Mathematics, Univ. of California at San Diego, La Jolla, CA
- OSTI ID:
- 5480865
- Journal Information:
- SIAM J. Sci. Stat. Comput.; (United States), Journal Name: SIAM J. Sci. Stat. Comput.; (United States) Vol. 7:2; ISSN SIJCD
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS
990200* -- Mathematics & Computers
ALGORITHMS
COMPUTER CALCULATIONS
COMPUTER CODES
EIGENVALUES
MATHEMATICAL LOGIC
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
P CODES
PARAMETRIC ANALYSIS
SCALARS