Numerical Solution of Elliptic Partial Differential Equation on Surfaces

Abstract eng:
This paper deals with numerical solution of second order elliptic partial differential equations defined on surfaces. The finite element method is employed. Surfaces are first approximated by a triangular mesh. Then each triangle is transformed to a local 2D coordinates and an element stiffness matrix together with an element load vector are calculated as is usual in two-dimensional problems and these are subsequently added to the global stiffness matrix, respectively to the global load vector. This approach is justified by a couple of problems for which the exact solution is known.

• Export as: BibTeX | MARC | MARCXML | DC | EndNote | NLM | RefWorks
• Add to your basket