6533b86dfe1ef96bd12ca8e7

RESEARCH PRODUCT

A Projected Algebraic Multigrid Method for Linear Complementarity Problems

Jari ToivanenJari ToivanenCornelis W. Oosterlee

subject

Mathematical optimizationPartial differential equationIterative methodMathematicsofComputing_NUMERICALANALYSISComputer Science::Numerical AnalysisLinear complementarity problemMathematics::Numerical AnalysisFinancial engineeringMultigrid methodObstacleComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONObstacle problemComputer Science::Mathematical SoftwareApplied mathematicsAlgebraic numberMathematics

description

We present an algebraic version of an iterative multigrid method for obstacle problems, called projected algebraic multigrid (PAMG) here. We show that classical AMG algorithms can easily be extended to deal with this kind of problem. This paves the way for efficient multigrid solution of obstacle problems with partial differential equations arising, for example, in financial engineering.

https://doi.org/10.2139/ssrn.1739902