Continuous Interior Penalty Finite Element Methods For Helmholtz Equation With High Wave Number And First Order Absorbing Boundary Condition

This thesis considers continuous interior penalty finite element method (CIP-FEM) for Helmholtz equation with high wave number and first order absorbing boundary condition. Under the condition that k2p+1h2p is sufficiently small, preasymptotic stability and error estimates are derived, and it is proved that the pollution error is O(k2p+1h2p) under the Hl norm. At last, some numerical examples are given to verify the theoretical results.