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A finite element method for virtual reality data. (English. Abridged French version) Zbl 0960.65123

Summary: Image synthesis languages like POV-Ray and VRML do not give detailed description of the surfaces of the objects they generate, and therefore it is quite difficult to use them for engineering computations. Rather than trying to solve the problem of data translation, we propose to apply the fictitious domain method in the numerical solution. We explain what are the difficulties and give some solutions with an illustration of a finite element computation of a three-dimensional acoustic scattering problem.

MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
68U10 Computing methodologies for image processing

Software:

PovRay
PDFBibTeX XMLCite
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