Handling geometric singularities by the mortar spectral element method for fourth-order problems

Abstract

This article concerns the numerical analysis and the error estimate of the biharmonic problem with homogeneous boundary conditions using the mortar spectral element method in domains with corners. Since the solution of this problem can be written as a sum of a regular part and known singular functions, we propose to use the Strang and Fix algorithm for improving the order of the error.

Keywords

• Biharmonic problem
• mortar method
• spectral discretizatio
• Strang and Fix algorithm