Semialgebraic Multilevel Method for Systems of Partial Differential Equations
In this chapter, we introduce a semialgebraic multilevel method for systems of PDEs. In this approach, the information in the original PDE is used to distinguish between different unknown functions, and transfer them separately to and from the coarse levels. Apart from this modification, the algorithm is as in the algebraic multilevel method. The advantage of the semialgebraic approach is illustrated for the linear elasticity and Stokes systems of PDEs.
KeywordsStokes Equation Linear Elasticity Multilevel Method Outer Normal Vector Prolongation Operator
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