Chapter

Partial Differential Equations and Calculus of Variations

Volume 1357 of the series Lecture Notes in Mathematics pp 142-155

Date:

Finite Elements for the Beltrami operator on arbitrary surfaces

  • Gerhard DziukAffiliated withInstitut für Angewandte Mathematik

Abstract

We develop a Finite Element Method for elliptic differential equations on arbitrary two-dimensional surfaces. Global para metrizations are avoided. We prove asymptotic error estimates. Numerical examples are calculated.

Keywords

Finite Elements Beltrami Operator Elliptic Equations on Surfaces Classification Numbers 65 N 30 35 A 40