000002856 001__ 2856
000002856 005__ 20141118153417.0
000002856 04107 $$acze
000002856 046__ $$k2008-12-04
000002856 100__ $$aPrcúch, I.
000002856 24500 $$aNumerical Solution of Elliptic Partial Differential Equation on Surfaces

000002856 24630 $$n1.$$p70 Years of FCE STU - Proceedings of the International Scientific Conference
000002856 260__ $$bSlovak University of Technology in Bratislava, Faculty of Civil Engineering, 2008 
000002856 506__ $$arestricted
000002856 520__ $$2eng$$aThis 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.

000002856 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000002856 653__ $$aElliptic partial differential equation, surface, Laplace-Beltrami operator, Laplacian, finite element method, triangulation.

000002856 7112_ $$aInternational Scientific Conference 70 Years of FCE STU$$cBratislava (SK)$$d2008-12-04 / 2008-12-05$$gHMC13
000002856 720__ $$aPrcúch, I.
000002856 8560_ $$ffischerc@itam.cas.cz
000002856 8564_ $$s312383$$uhttps://invenio.itam.cas.cz/record/2856/files/05_A_Prcuch.pdf$$y
             Original version of the author's contribution as presented on CD, .
            
000002856 962__ $$r2540
000002856 980__ $$aPAPER